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<h2>HL Paper 2</h2><div class="specification">
<p>A fixed horizontal coil is connected to an ideal voltmeter. A bar magnet is released from rest so that it falls vertically through the coil along the central axis of the coil.</p>
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"></p>
<p>The variation with time<em> t</em> of the emf induced in the coil is shown.</p>
<p style="text-align: center;"><img 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"></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Write down the maximum magnitude of the rate of change of flux linked with the coil.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the fundamental SI unit for your answer to (a)(i).</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why the graph becomes negative.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Part of the graph is above the <em>t</em>-axis and part is below. Outline why the areas between the <em>t</em>-axis and the curve for these two parts are likely to be the same.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Predict the changes to the graph when the magnet is dropped from a lower height above the coil.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A device sends an impulse of electrical energy to maintain a regular heartbeat in a person. The device is powered by an alternating current (ac) supply connected to a step-up transformer that charges a capacitor of capacitance 30 μF.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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"> </p>
</div>
<div class="specification">
<p>The voltage across the primary coil of the transformer is 220 V. The number of turns on the secondary coil is 15 times greater than the number of turns on the primary coil.</p>
</div>
<div class="specification">
<p>The switch is moved to position B. </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain the role of the diode in the circuit when the switch is at position A.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the maximum energy stored by the capacitor is about 160 J.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the maximum charge Q<sub>0</sub> stored in the capacitor.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify, using the label + on the diagram, the polarity of the capacitor.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe what happens to the energy stored in the capacitor when the switch is moved to position B.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the charge remaining in the capacitor after a time equal to one time constant <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>τ</mi></math> of the circuit will be 0.37 Q<sub>0</sub>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The graph shows the variation with time of the charge in the capacitor as it is being discharged through the heart.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>Determine the electrical resistance of the closed circuit with the switch in position B.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In practice, two electrodes connect the heart to the circuit. These electrodes introduce an additional capacitance.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>Explain the effect of the electrode capacitance on the discharge time.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>The following data are available for a natural gas power station that has a high efficiency.</p>
<table style="width: 522px; margin-left: 60px;">
<tbody style="padding-left: 60px;">
<tr style="padding-left: 60px;">
<td style="width: 391px; padding-left: 60px;">Rate of consumption of natural gas</td>
<td style="width: 155px;">= 14.6 kg s<sup>–1</sup></td>
</tr>
<tr style="padding-left: 60px;">
<td style="width: 391px; padding-left: 60px;">Specific energy of natural gas</td>
<td style="width: 155px;">= 55.5 MJ kg<sup>–1</sup></td>
</tr>
<tr style="padding-left: 60px;">
<td style="width: 391px; padding-left: 60px;">Efficiency of electrical power generation</td>
<td style="width: 155px;">= 59.0 %</td>
</tr>
<tr style="padding-left: 60px;">
<td style="width: 391px; padding-left: 60px;">Mass of CO<sub>2</sub> generated per kg of natural gas</td>
<td style="width: 155px;">= 2.75 kg</td>
</tr>
<tr style="padding-left: 60px;">
<td style="width: 391px; padding-left: 60px;">One year</td>
<td style="width: 155px;">= 3.16 × 10<sup>7</sup> s </td>
</tr>
</tbody>
</table>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Electrical power output is produced by several alternating current (ac) generators which use transformers to deliver energy to the national electricity grid.</p>
<p>The following data are available. Root mean square (rms) values are given.</p>
ac generator output voltage to a transformer
= 25 kV
ac generator output current to a transformer
= 3.9 kA
Transformer output voltage to the grid
= 330 kV
Transformer efficiency
= 96%
<p> </p>
<p>(i) Calculate the current output by the transformer to the grid. Give your answer to an appropriate number of significant figures.</p>
<p>(ii) Electrical energy is often delivered across large distances at 330 kV. Identify the main advantage of using this very high potential difference.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In an alternating current (ac) generator, a square coil ABCD rotates in a magnetic field.</p>
<p><img 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"></p>
<p>The ends of the coil are connected to slip rings and brushes. The plane of the coil is shown at the instant when it is parallel to the magnetic field. Only one coil is shown for clarity.</p>
<p>The following data are available.</p>
Dimensions of the coil
= 8.5 cm×8.5 cm
Number of turns on the coil
= 80
Speed of edge AB
= 2.0 ms<sup>–1</sup>
Uniform magnetic field strength
= 0.34 T
<p> </p>
<p>(i) Explain, with reference to the diagram, how the rotation of the generator produces an electromotive force (emf ) between the brushes.</p>
<p>(ii) Calculate, for the position in the diagram, the magnitude of the instantaneous emf generated by a <strong>single</strong> wire between A and B of the coil.</p>
<p>(iii) Hence, calculate the total instantaneous peak emf between the brushes.</p>
<div class="marks">[5]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>There is a proposal to power a space satellite X as it orbits the Earth. In this model, X is connected by an electronically-conducting cable to another smaller satellite Y.</p>
<p style="text-align: center;"><img 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bFR7po/32xjKSvf0uqLI15g8AJpvzjqd1iFaSrZvP76dvPbsn3766mslnWRAAmQQFoJUIC64HcTnDrlEUbjZmJXnstpZNyhX/zi/yU8YMfpB5nsk3RbAz7ZdUYqH/OWYr5SDVXTqsyKT7k6IEnPMxlbtZIGXi73m6mh8F2HNRKiNBUWUgjjRYsWyP79B/gSm4yLzDJJgAQykgAF6CeXBUvj4SGEQUPqP/bggyvMAygdVpGMvFsSaBRE/a5du6Vx1qwESpGQieoTKiiKzCWlpTKzvj6KlKlJ0tPbIz3dPWb1JmeNsNJi3tR7PvtZZxQ/x0AA3fX4DbAFqbo4rFiB34P7gosWxFBsxKTwA8Vcvhs3boqYlglIgARIIBcI5K0AhSBqamoyD5o9e5rMtcSAIVg+aOH0/9aGwG9vb0940vZUWkB1vk3/acRXYrjBV7CCYvL+hx9+JL7CmcuVAAQpfh/sLnu43ujvBFxv/Aj4fsAPlIOR/KDJMkiABLKBQF4JUDxMMPEzhCf8OFNh2ciGmyDZbbx+/bps3fpjKS8vlxnTZyRUHXwgP7BWT0qosAiZG2c3JuwyEKGKmKLdBCh8QHXdeoih6ppqWbLkUzGVy8TREVAfUlhH7d+QgGV0WcKDiDgYKbrrwFQkQAK5QSDnBSgsC3hYYIul/9TKie51v6wXuXErJO8s/vCHP8i77/6X1NXVS/HkyQlXdLH9orRfbE+4nHAFwJpYXV0dLknK45wCdPac2VI0vkiOHT8mt2/dFoyIx+T0X/6Lv0h52/KxQu2ux0st3HbUdxSCNJ4R7a++usVMur9ly6v5iJPnTAIkkGcEclKAuolOrLeMBwNHqqf+DscoX1iP6urqpHhyccINSPZI+DFjxsi8efNGrEOfcMMTLMApQBcvXmxKhFUYAggT5DfMbJD/9rnPyZQpmTFtVIKnnDXZcX/r7w667OMRo3ALuu++ZfLBB8eT4meaNTDZUBIggbwgkDMCVLvXYY2ApRN+WgHR+RB/zNN4K+OhunPnTtMCTJo+ccJEX1qTTCtoJlo/Aa3zUqecP3c+yG980XiZM3uOgEVnR6c5jnXpYQmFHzNDegh4iVH8HmFUfbiwfv06k2bduvXhkjGOBEiABLKeQFYLUB1ItH37duPTie51Wjoz656EVUhnFZg7Z65v82n6YQXF6kYTJkwwfp6wImJ6o472DmNJhLDLxPDnj/8cXA8e7SscVWi637WtOKeKqRXy4IoVeojbNBJQMYpeAHwP4He+evVqWbVqlWtvDL4vHIyUxgvGqkmABFJGICsFKH6kYVXTri6ITvzRpzNl901UFengI028aOEi3fVl29rWKl2Xu2IqS9dxnzRpkmsX+4WLF4wIhSUx1Wu9R3Mizm54O8+YsWPk5o2b5ntQV1/P74MNJwP2tTdgx44d5oVZe2nw22UHDEaCH2gka6mdh/skQAIkkG0EskaAwpKA7nW1dnr9eGfbBcjl9h45csQMPiooKJCqyiopLS319XRjnZIJa6fDD3XUqFGe7YAltKWlRSZOmmgG9HgmTEPEtWvX5OzZs8FR784mYNqoCUUTpKioiCsjOeFk2GfnS/T69d8MWkU3b37e+ExzMFKGXTQ2hwRIwFcCGS9AYTXYsmWLcfDHmcNasH79etfuK1/JsLCECbz99i9laGjIl4FHXo1RK2hpWZn0dHd7JTPHo11SEyL02uC1jJqC6erVq0YY37x5M+w56spNFZWVcvfdd4dNy8j0E1Cr6Pbtrxnf9ccfXyWPPvqYfOc735YDB35H//X0XyK2gARIIEkEMlaAYq49WDzfemun8ZvatGmTmdoEViyG7CDwox/9g5SWlEpVVVXSGgyr4JmzZ6R6RrV0dXUZy5FbZZk6sMitrc5jvb29xvLpPO71ee7cuTJjxgz57L33eiXh8QwkgN879RXF79zatV+T5577Xga2lE0iARIggcQJFCZehL8lQHiuXv24fPWrqwTWgVde2WJWB4Hlk+LTX9bJLK2jo0PgA3rr9q1kVmO6mzH1ELqd0b0+KcF5Ri9dumQE7dnms3Lp8iWJZHFM6smJmO52dLvHEtrOtUl3BGtwLOUxbWoI4DfuV7/aI//yLzuloqJCtm3ban4L8ZvIQAIkQAK5RiBjBCjEpgpPQMaP8I4db5ku91yDng/n09ramrLThPjEikDw7fRaux1WRHSt2wGfcRzd2xpgKYW/allZmXEfgBBFmnSF3iux1z3QPyCwDMP9gSH7CGDw0W9+866ZoaG/f8C8jOO3kUI0+64lW0wCJOBNIO0CFIOLNm3aaCZgbm1tCwpPjgD1vmjZEIMXinQEiFBMJO8MsGT29PYED+tgI1gXMejIDpiaqaS4RKZVTTPzbOJzukL/1f64qsY0VX1XrsSVl5kyg8ATTzxpFkTAyzgCeoUwT2i6vluZQYWtIAESyBUCaRWgWHpu2bLPmTd77Wqn8MyNWwtd8Ajjxo1L+QmhKx7TLTlDW2ubnL9wXmBVPH3mdNBfFNMXhQu2oL3Sd8XM54g5Hds7krscqFpow7XNM65AzKAWz3hGZDwBdMljtDx+E9Eb9Npr2wULbmC1JPx24uWdgQRIgASylcDodDQcP6LPPLPRPMg3btwkWPWD/p3puBLJqfPKld7gw3H06NTfYpjjc1bDLGPxhOi0A1YMwj87xDLfJyys9TPrTXasw57MYLsGxFoP/G9vsgs+VmwZlR7zGtfW1prBmBCjWF8efxCfGDWP+UTt+ULr6mp8bX9LS+h3x9fCWRgJkEDeE0i5OsCPJ/4wj+f+/Qc4nVIO3oK9vQHLDJbdRFd2OgKE4pTyKTJ50mTpH+gXDC6Cb6RbgI/nuLHjZNToUQJRibxewa+lRL3Kt48P3YrfhxMT0nd3dYk0NtpFcj/LCODlHKPjIUA14KUdKylhxSR0yz/11DrZtOkZE22LRghS+7Pmd9s60/otZt3q5DESIIH8JpAyAapWTwxOef75zcbqmd/oc//sp1ZMDY4it7uxU3nmGJyEv7LSMjOY6PqN63KpM3R0O4Tp2f7ASPPRY0bLXfPuCitCU9X+wWuDcVcFUc1BSHHjy5iMsHhiYnr4fdbU1Abbhf3t2183XfTwoW9qagrGcYcESIAEsoFASnxA8QaPUZwI8GXCWz1D7hOAJRETund2hnZ5p+vM0dVeWVEpCxYsECy1iXXTncJ46OaQaXO62uhXvRh01dfX51dxLCdNBOCaBBGKFeDcAuKamvZIba2/3e9udfEYCZAACfhJIOkWUO1yxwofmze/QF9PP69ehpc1aeIkuX37tsDqPWnypKSuiBQrCvX7RDc9RsfbvqK5YjmEHyimY8I0VQzZSwAv7HiBx++nW4A1FC/26DZ3dp07P7vl12OxpNU83JIACZBAvASSKkDRNYSVjDDC3fZhirexzJc9BCZMmGgaW1hYaCbVRrd38eTMW8VKfUXhA4rpmGA5xBRGbgHHu7q7pP3indHvU6YG/Ewx8Cmc76hbeZGODctwpCRh4+F6cG1ggAI0LKXMj3QORgrXYtvnE4LS/hwunzMtxWg4WowjARLwg0DSBCjFpx+XJ3vLmDDhjtUNA3cyvTsYAnLOnDny8ccfy4XzFwx4ewqpgYEB6WgPTC1lX5XLly4L/tCVr1ZVDGaqmFqRsCBFm1B2vAHWZ0zVUz5lSrxFMF+GEAhMydTEF/kMuR5sBgmQQOIEkiJAA07xv5J33mkSvL0z5B+BMWPGBk964sSJguUyMz1ARMI3FEtZqgiNts2wnGKkvQasS69LhOqxWLcYwY85SjGiPZ5QUFDAqZjiAZeBeSBAX3hh84jBSOGaWl5eLu3t7VJVVRUuGeNIgARIIC0EfBeg8PlEtzsmTab4TMs1zYhKCwsLQtqBrvhsCPCXnDN7TrCpmAz+xIkTwdH8wYgIOxCNZ86ckYaGwDr1EZK7RqNLv6Fhlpw8ccI1PtJBWEA5v24kStkRj+sIP/qdO3cKpmHyCs6u83vvvccr6YjjzrwjEvAACZAACfhIwFdVgFU7IEDh84nRmQz5SwADYBAggvwOWrbf5bqVBxFYNS0+CxKsoljq83JX/N3oRePHG6usW9vCHdPR/WPSsBBAuHYxLn4CsIJi8nmvAH9P5x8MAQiY+k79QZ1pvD571cPjJEACJOAHAd8EqK7pjrd0Djjy49JkdxkDA9fMCZw4eUIGB+Ofz9KNAroVOzpH+mO6pfXjWCKrOWHgEkbYY+lOCFFYVGMN8C1tbGwUDHhCl/zUqVOlprbGCNPG2Y1SWVU5osix4+64QIyI5IGsJKDLFONFP9oAQwAsplu2vMI15KOFxnQkQAIpIeCbAMVkycXFJZ5ThaTkbFhJxhAYGOiXq/1XTdf1uXPnfLWEYq13BEy2noqg69onUhesoRCiWIPea5R9uPIxIKmmukYWzF8g1dXVZpUnCFNMdTV92nSZMHFCSPZscXkIaTQ/RCSwfj1WRtoZMZ2dAAIUS3rCN5+BBEiABDKFgC8CFKt0wO8TS8PR5yxTLm3626HWPiyF2XmpMy7h5XUWmFBeR517pfHjOKZd8lrCM57yUdaFixfjyRo2z4SiUAFaWRmwio4eMyZsPkZmF4EVK1bInj1NZnaDWFr+/PMvyMGDB2PJwrQkQAIkkFQCvgjQLVu2mNVl6PeZ1GuVNYWXlBQLLHAqQNFwdJv3D7ivxZ6pJwZLpT3np1/t7OnuNtZhv8pDOYWj3L/KfCH0k3JoWdu2bTUTvz/77HdDI6xPK1c+IosXLzRzzFqHzS5e3J966n/IwoXzg5PIIy16k+DS5BYw6fyDD64w68O7xXsdQ/c98sUaMDcu2rR8+X2uPQ5vvvlGRAax1sn0JEAC+UHA/akVw7njhxI+SVxeMwZoOZ4UrhgVFRVSWBB6e40ZE5h0AV3nF9sv+u4b6jdWWD/j6S6Pph2dHZ0hAj2aPOHSTJgQagEtclhEw+VlXHwENmx4WpYvv18gwvDnDC+99KIcPXpEnn7626JuI5oGv5lf/OIX5Ne//veQOXLx3fjHf3xdPv/5ZXLs2DFNHrJdtWqV59KcSIjR7G5/sJyGi9c8dmVo93PPfc8I6A0bvmVHmWM4x8WLl8jLL/8gJI4fSIAESCASgVCFECm1S/yBA/vNDyitny5w8vjQnDlzBQNhlixeYvzPFAX8Qpubm82k7vCHRNd839U+sxxmMkbMa72xbmG9TYb1U9uBFzdYl7BUZjLCqMJCwTyQDMklAOEFV5CtW38cYiGE8ISFFAIVQtUOEJZPP70h7MsNhOgTT6x2tYTqb+2BAwfsYpO2v2bNWsHfvn17Q4S2CtJt236StLpZMAmQQO4SSFiAYnTv0qVL6fuZu/dIXGdWWVFhBiBhQvay0jIzGTYGzCDMnTtXlixZIvBbxITvZ06fkZbmFvnoxEdmqUtnhekQptcGkyMM7XODCD158qSxBvstRMFMp2Ky6+S+vwRsC6HdFf/ss88aYeomzv76r78T1byyEKEYve4WVq9eHXM3vFs50R6DFRTnCosnXpxwrhDZejzacpiOBEiABJRAwgIUFtAFC7jakQLlNkCgsqpKCqTAWDjPNp81S1MiBiJ0/PjxJhEeaJhWSMPQzSEzUryltSXYPW8spi3NmiQnt7C0Qoi2trX65hsKAUoLaGpuF1gHYencvXuX+YPlU8WZc6CcvnRE27Kf//wt16TohsfAT5SXioDzgLUXonjNmieMJVQto6mon3WQAAnkHgFfVkJy/sjmHiaeUawEsPwm/BLr6+rl3PnzRlzV1tSawUlaFgYqYblKiC879HT3CP40zGyYqbsp2xaNv7OWfaoq7brcJfgrn1JurMaYeina0NfXF0yqlk+uAR9EkvQdWDoxUAcWQoi0lSsfNd3WzorR/T5u3DiJdjEFlLV69ePOYsxnvGCsXPmwTJ8+3TXe74MQ2bB44hzx8ki/T78JszwSyC8CCVtA8wsXzzYWAlMrKoy1s2HmTBk7dqwMDQ2NyC2NHpkAAByvSURBVA5raH19/YjjOFBRWSF33XWXFE8udo1P5kGsgOQ2wXsy69SyIUJPnToV4lOocV5bWJs1jC8aL5g8nyPglUjyt3gJ18E6ai30qtWeHcIrTTTHsSDB0FDsCxtEU7ZXml27dpkodMPDJ5SBBEiABOIl4IsFNN7KmS+3CUyZMkUw5RAsnZgs3SvggQ2h2d3TbYQTuo/hG3p98LoRrl75kn188uTJZrBUsuvxKr+g8I6o9Eqjx2Ep0wALKK2fSiN1W1g94RuJUeFevUK1tTUxNQgvbjt2uHfDexWUrDXd1e8Tg6ow6h+fd+9+x/NcvdrH4yRAAiQAAglbQOH/CT9QBhJwEsBDGCsAOQMsQBcuXjCCU6c5woO2qrLKrPBTMbXCDFS6OXTTdVCSs7xkfYa/qnOFoWTV5SwXPMaPC/jKOuPcPtucYUHFyjcMmUcA83jCPSXa8MADX4g2aVLT6VRT8PuEpVetvToSPqmVs3ASIIGcJJCwAF24cKHnfHU5SYwnFTUBWEAnF4d2n0NwYvqljvYOM/L9ww8/NGuko1AIUwxYQkDX/JzZc8ygpagrTEJCrLiUjlA1rSpq6y8GatkBXe+6EpJ9nPuZQeCHP3xF4OIRKcCS/f3vfz9SsqTHo7vdOd+nDrxCNzwGXTGQAAmQQKwEEhagWGEDAyAwsTIDCTgJYKCEPY0S1oV3Lm2JNdJxvKOzQ3p7ekOsnrAEpjPAiotBQakMpWVlUl4WfZ23HH6As+fMSWVzWVeMBDCP55NProkoQp9/frPAYpruoFZO55RS+IzBSJgDFSKVgQRIgARiIZCwAL2zNNzOWOpl2jwhAAt5QUHAlxErC3lNG3Pp0qWgv+XFCxd9XSUoUdRlZWWJFhFT/unTpsWU3hp/ZPLdc889seVn6pQTePHFl2TLlr8z/pMYMIag28bGRnnnnSb5+te/kfJ2OSuE+NQppSA27YCXM52aSUWqHc99EiABEghHoGB4eHg4XIJo4rAix1e/usr8aEJwMJCATWD//vek/2q/6WqHtTOagBG+1dXV0SRNSRqs2HT+3Pmk11VTW2P8YGOpCJZjDNpCqKislG98I/3CJZb253taTM2kL2YYpJQMqyfWnV+x4kHTW9XSEt13MN+vC8+fBEgguQQStoCieeiGx2pIL7zwfHJby9KzksC8eXeZKZgGrw1G3X5YRK9eDfVtjDpzEhJiYBREcTIDfP5KS0pjruLmjTsDvRYtWhRzfmZILwG8tOM3FH/JEJ84u82bN0txcUl6T5S1kwAJkIBFwBcBivKef/4FOXjwoLz++nareO6SgAgGI2Hy7cJRsd1uGCnv15yJflwHWGTRPZosv1QMPIpmcIrzXHQKJgw+wnRWDCRgE4B//p49TbJly6v2Ye6TAAmQQFoJxKYIwjQVb/EbN26SF17YzFHxYTjla9TUiqkyadLkmE4fg5XgN5pJAasTQSj6HTDdUzzWT7QDUzBBfD7wwAMxTfHj9zmwvMwjgO79TZs2ylNPrTMW1sxrIVtEAiSQrwR88QG14a1fv87MC4rJk+kPapPh/q/eeUfaO9qls6MzJhhz586VoqLUL40ZrpGHDx8OFx1zXLzniCmYwHPWrFnyxS99KTiQJeYGMEPWE/B7Anr6imb9LcETIIGMJuC7AIUzva5dDBHK5QAz+vqntHGtra1y9MgR+ejER3L71u2o68Y91NDQEHX6VCTEtFHwU000oDt/xowZca8mg3lV0W0/Z+5c4x6QaHuYP3sJQIDaotH5OdyZOdM6P4fLyzgSIAESiIeAb13wWjnEgi4dByGKLiAGEgABrM6DKY1iXaUHLzXq55gpJAeuDSTclKIJRTJz5sy4xScaAAE7cdIkqa+vT7g9LIAESIAESIAEUkXAdwGKhlOEpuryZV89c+fNk6LxRTJu/LiYGt93tS+m9MlMjIFRzsn0Y60Pk803zmr0xbVg0cKF7HqP9QIwPQmQAAmQQFoJ+N4Fb58NLFfr1z9lrKCbN78gq1attqO5n6cEPjx+XJqbm+Xa4DXBKj7Xb1wPzmMZDsmnPvWpcNEpi4Pf5amPT8VdX2VVpUyfNj3u/HZGTA4+jyPfbSR5u49ucz+D3Z3vZ7ksiwRIgARAILAER5JYqCUUozCfeWaTYMJ6CFEcZ8hfAvBXvHT5csiUQ+PGjpOzZwPrwGc6maGhobib6Kf4HF9UJI2zZ8fdFmbMHQKvvrrFnIwtGmPx43Sm9VvM5g5pngkJkIBfBJLSBe9sHOafe+WVLWa9ePqFOunk32csOYhuYztgWT/4Q3oFTFPkFWBp7+np8Yr2/Xi8c5P6KT5xUux69/3SZl2BWOEIv6kqQLPuBNhgEiCBvCWQEgEKuuh+b2raY0A//PAK/mDm7S0XOPGy8nJxW1vaS4ROnuw9h+iwDEtrW6v0D/SnhGosKzppg2ZUz/Ct2x1lgh0YMuQvASz6geU18QKGteMZSIAESCCbCCTVB9QLBN7Wt29/zSwNB+solqBjyE8CBw8cMOtT22ePEe92dzyWqJw9e7brCkS3b9824hMP4VkNs1IyEfvx48fN5O92m732E51mya1ciPGl/M64ocmLY3BlwrLHuA+x+Me6deuNW5Pf3eZ2d35egOVJkgAJpJRAWgQozhBdR/ANxfKdDz64wqxVnKx1kFNKlJXFRAD+lHt/+1uzVryd0RahWP4SKxA5AyyeFy+2y8BAv5lLc0r5FGcS3z+j+/2DDz6Iqlz4Ok+bNs2Xke5aIdwX7n/gAY56VyB5tMVv5pYtW+Stt3bK0qVLzfLH4Rb7QHr+pubRDcJTJYEsI5A2AaqcsE7x5s2b5dy5NrNc3KZNz3CQksLJk21fX58cev/9ESL06tWrZqCS2ypIWFGpo6NDysvLpbS0VCZOmJgSWtGOgEeXe3lZechAq0QbCPH52XvvlXDuCInWwfyZRwDWfXS3a6/Rpk2bOKNI5l0mtogESCBGAmkXoNpe/MBu2fKK+bh+/TeD3Uoaz21uE+ju6pJDhw5FfZIdnR2muz1VwlMb1tPbI81nm/Wj6zbRyeVdCxUx3e4Un150cu+4LTxxdvxdzL1rzDMigXwmkDECFBfB7Qd31apV7EbKkzv0/PnzcizK7u10IbncdVnaWts8q0+W+Fy4aJFxM/CsmBE5Q8Dtd1D9PHPmJHkiJEACeU8gowSoXg37Bxjds48/vkrQ7UR/JiWUu9tMF6Hh1oCn+Mzd+zIVZwafze3bt8vOnTtMdbR4poI66yABEkgXgYwUoDYM/BjD8R4+onC8hyVgxYqH7CTczzEC6I7/05/+NMInNBNO8/Dhw67NSIb4hM/n3XffzemWXInnzkGMasfvHAYXVVfXyPr1642PJxfsyJ1rzDMhARIYSSDjBag2GYOV4CeKUfP8kVYqubv1GpiUzjO+du2anDx5ckQTkiU+OeBoBOqcOYBeHvym2S/XmCuZyxXnzCXmiZAACUQgkDUCVM/D7qaCSMEUTvATpVVUCeXOFlM0YXQ8rnMmBLcR8BjtXjG1wtfmlZWVyd2f/jSnWvKVamYUZls7MaAMv1vo1Qk3nVJmtJytIAESIAF/CWSdALVPH91WTU1NsmdPk5maRi0I/DG3KWX//omPPpKWlpa0n0hXd5e0trQG24EJ8ufNm+fbVEvocsecp3X19cE6uJP9BPSlGb9VcCVasGBB0JWI3ezZf315BiRAAvERyGoBqqeMH3j8uMOBHz/w6KJfvRrdWRxBr4yyfZsJfqFOC+j0GdOlsqLSF7SwemKku9ucp75UwEJSSkB/k1577f8IBtbxNyml+FkZCZBAFhDICQFqcz527Jhx6LetDejmQlc9LaM2qezbR5f8qY8/Tqs11B4FP7NhppQUlyQEcnxRkbGiVlb6I2QTagwzJ0RARSd6ZrBMJkTnXXfdJUePHpExY8ZycFFCdJmZBEgg1wjknAC1L5BTjOKBsGLFCuN3xfXnbVLZtQ9r6IkTJ9LmGwpLKMLYMWNd16ePluasxkapr6+nr2e0wDIwnf7GHDx4ICg68RsDdyD7hRe+n6+++oogPeIw0p3TymXgBWWTSIAEUkYgpwWoTRE//PAVxchTWCd0AACEKCyk9MWyaWXHPro2T506JYPXrmV8gyFab94ckv7+fqmsrJAHHvgCl9RM8VV76KEH5fLly7J48RJ5+OGHBd/9WEUgRq8fOLDfuPxAVKrLj5vodDs9WEl1PXfMbwwxypdhN1I8RgIkkOsE8kaA2hcSDwE8PHQAE+IwMGDp0oAY5QPBppX5+5koRAcHB2Xw+qBg29XVJUM3hwxIWMW+9OUvy7hx4zIfbI618K/+aq28++67IWeFF9HPfOYz8pd/+d89Bam+vEJ4Yho4BLj0BF5eV8QsYpHfXmyjtrbWDEqCGGUgARIggXwhkJcC1HlxYRWFINVuNMTrAwai1O5Kc+bl58wh0NHRIS3NzdLd3Z3URmE9+MLCwmAd169flxs3bpjPEJq9vb3BOOxAbH7mnntk0cKFUlySmM9oSMH8EBMB+GY+88wmzzyYhQDXtaGhwfhvigzL+59MA6buOxCdy5bd52uPCdoFqygCBk9y2U3PS8QIEiCBHCJAAeq4mGodhSDVLjZYSfDQwcNnwYKF7DJzMMu0j5gwHkK0o7PTtXseArGgsMC12bdu3ZYxY0aPiJs0cVLw2JEjR4L74XZmz54t+MPodob0E4Al87HHVka9wtb99z8gX/nKVzwto36fEX5v1E8UbkFcfthvwiyPBEggkwhQgEa4Gm6CFFmwLChEKbru/baIRGgSo2MggEnsMWgJ3fSdnZ3SealTbt68KYUFAQsmukL9CrB0QnCiS3X2nDnsZvcLrI/lNDY2mOsfrsiKigr553/+adp6Pmw/UfTEwCJKt6BwV4xxJEAC2UiAAjTGq6aCFNYUu8seXXR4SKC7nlbSGKGmKDnEZmdnh7S2tgmuIwSphuHhYd0NDg7CsQIZaSm9ffu2FI4qlOLiEqmsqJDaujqzZfd6EGHG7OB7evz4MdObgS0GIHqFUaNGyac//Rn5p3/6v752sXvVF+k4/UQjEWI8CZBANhOgAPXh6qn/KB52GKigS0fCSgoxqqKUvqQ+wPa5CAhRCNJYAkaxY/Q0BxLFQi35aVVs6lYHDMGFBt899FScPn1a3n77lyMaA/H52GOPyd///Y9GxGXCAfqJZsJVYBtIgAT8JEAB6ifNT8qCqAk8BI8bQYp9FaXosneKUk4BlYSLwCJzmgBe+mDRbG1tNVsVmzhp+8UPvRL2VEvIt3btkyP8QP/mb/5Wvv71b2Q8M7T/9de3m98V+olm/OViA0mABMIQoAANA8fPKFuUQpDiD3MIIqD7vrYWXfj3SU1NjXlg0ufLT/osK1sJBF7kjklbW5sRXbBW6/fGtmzixQ5WTltsep1zXV1NMGrs2LHy9tv/avIGD2bBDn5PMHIeM3jgd4N+ollw0dhEEiCBEAIUoCE4UvsBPl76gFVLDj6rtdQWprCSquWUFtPUXifWllwC+j2AqHITmqgdVk2IS9udJd7vwZe+9AWzgMGMGTPkrbd+HpVoTS6B+EtXP9EdO3ZISUkx5xONHyVzkgAJpJgABWiKgUdTnT6Q7S5GW5iiDDyQMQgmYPUJWE2xH+9DOZp2MQ0JxEtA7+krV3rNQCC8cGmvgL5wqUUTL1olJSVmYQj0DERj1YylXa+88kPz4vd3f/e/c+r7Aj9RdM/39l7hfKKx3BBMSwIkkBYCFKBpwR5/pfAB04c4RCn2neIU3ZEQouiaQ8Bk+gjs1jcY+F+SCODeRMDsEAgYkBf4HFg9yHzgy5NiSNqWfqJJQ8uCSYAEfCRAAeojzHQXZYtTTLYOCyosT86pZ1SgqqVJ/U7RforUdF/FzKw/8LJzxVgt0U2u9xdaaw8Awmd1HYHlEnOiBu63gLWeFvrUXV/bTxS9Ixs3PsPvd+rwsyYSIIEIBChAIwDKlWhnFyjOSy1UTgsq4lREYF8tqRAPEK0IyegaNQXzv5QRgEDRKajU/xKVq2Xd7eVFu8mRTu8LCsyUXbK4KsJ1RNc8/EQRsMIS152PCyUzkQAJ+EiAAtRHmNlelIpUnId2o9qWLnsEsn2utlhVv1SNV3Gin2lhVRL+btVCqaXq9cNn9bcM7N8ZRa5psbWFpVoucVzdN/jCYdPK3n31E8U9sX79N7nufPZeSracBLKeAAVo1l/C9JyALXi0qx8tscWOmwXN2VoMprKDU8BqnAoh/axbWGXRvZhNwWbnbLctHDXOZqrHnN3eely36maBz06mNku+ECix/Nqqn+iePU3y+OOruO58fl1+ni0JZAQBCtCMuAz50Qi7yxdnrIOp7LN3E1vRCFm7DK99p9j1ShfvcQhLHdEdbxm2cNQynAISx52WZVoolRa3sRCgn2gstJiWBEjATwIUoH7SZFkpJ+AUtV4NcBO7XmnjPW4P5gpXBsViODqMSwcBvOShe3779u2mevqJpuMqsE4SyC8CFKD5db15tiRAAiQQlgCEKP5g0aefaFhUjCQBEkiAAAVoAvCYlQRIgARylQD8RCFE33prJ/1Ec/Ui87xIII0EKEDTCJ9VkwAJkECmE4CbC7rmIUY5n2imXy22jwSyhwAFaPZcK7aUBEiABNJGwM1PdMWKh3JqOdO0wWXFJJCHBChA8/Ci85RJgARIIBECTj/RVatWCeaPZSABEiCBaAlQgEZLiulIgARIgARCCDj9RNetW5918/KGnBA/kAAJpIwABWjKULMiEiABEshNAk4/UQhRdM8zkAAJkIAXAQpQLzI8TgIkQAIkEBMB+onGhIuJSSCvCVCA5vXl58mTAAmQQHII0E80OVxZKgnkCgEK0Fy5kjwPEiABEshAAraf6DvvNNFHNAOvEZtEAukgQAGaDuqskwRIgATyjAD8RDlSPs8uOk+XBMIQoAANA4dRJEACJEACJEACJEAC/hMo9L9IlkgCJEACJEACJEACJEAC3gQoQL3ZMIYESIAESIAESIAESCAJBChAkwCVRZIACZAACZAACZAACXgToAD1ZsMYEiABEiCBDCFw9OgRqaurkW3btoZt0YYN35LFixcG0+zevUvWrHky+DmRnTfffMO0Ae1wK7OlpcXUvXz5fdLb2zuiKs3/7LPfHRHHA9lBANcu0j2I+Gy6xtF+t/y+QhSgfhNleSRAAiRAAmkjsG3bT+To0WPB+nft2iV4wPoRXnrpRVm58lFpaWmTN9/82Ygi6+rq5LnnvicQohDCdsAx5F+8eIm8/PIP7CjuZwkB3Ed4iYgUtm79sesLSKR8+RZPAZpvV5znSwIkQAIkEDMBWDTxB5EZLqxZs1bwt2/f3hCxooIUApmBBEhAhAKUdwEJkAAJkEDKCEDEoXsS3dj6B8ugHVaufMR0caObG2nsLvXm5mZBvOZ1dnXaXfBIhy74gHAM330Py5ZdLupGXgR0qWobsI+6w1lVYQWFUMV5wfKJNiK9HrfPlfvJJYBriOuF66b3Ez5jH9fGDuHuAZSD+wMhYMm+4+ahZeh9hq3Wq/cJtnb9cNNAmyIF1KX3ule7UQ7K03TO75MzHvdypLrViq9lovxorL+RzickfpiBBEiABEiABFJE4JFHHh7+/OeXDR85ctjUuGvXvw4vWrRg+Mknnwi2AGlqa6uHX3zxb4NpkB7H8PfGGz81x3EMZdl5v/Wt/2nK08Kcn/W4vUV5KPe73/1fwcMoE8f27v2tOdbT02M+a5uCCT12kA/50T5n2R5ZeDgJBHB/gT/uMed9g/tMQzT3gN6DW7f+WLO5blEX7jsNzc3NwXsc9xECykC7wpWFew1lIT8C8ur3xxywytH7Us9XP2s9OK7Becx5XqgH9y3q0ro1jzLUshLZ0gIaIsf5gQRIgARIIFkEYHVRSyB8IRHgU/n00982XdZqcdT61679WjCNHkN6dHEjoAykQXc3/uIN8Nlz+mbCxzNgxXwprmKXL78/6A+Kcuj3GRdG3zI57xtcH9yLsFYiJOMe0MarRRLuFyUlJebwhg1Pm3s/nL/ovn37THp1+0De3bv/Tfbt269Fm3YjHtZ1BJwnzk2tlW+88VNzDMc16PfnyBF332i0FxbQl19+OehyYrdXy0l0SwGaKEHmJwESIAESiIoAHnh4iNoPQ2TUz3v33hGRSKcPXrvw+++/3/4YzHv06NGQ49F+gAjBw/bRR+88oDWvihRnV63GR9piABQC8icikCPVw/jIBOrr60MSqRDEwWTeAygf1x4vOHadOI57WbvrQxr3yQfck7h3ICZVxNrpUC7y4z61A16edCAexCqEL17+UAb+0J0eLqBcfPf0JVHTLlmyxNd7mQJUyXJLAiRAAiSQVAJeQk4fzGqNCtcITatp9HNPT48eimnr1SYUomX39sZetvp9wnKEcvA5mvOLqfFM7AuBZN0DaByuOf70XrIbrMe87gvcO7Bs4kUGAhL+mLbvqObTcuyydV99USE8NX2kgXBIBybq/6lbFcFajtYR73Z0vBmZjwRIgARIgARiIQCrSktL84gs+kBzs3iOSOw4oHlLS0sdMdF9DFenll1XF2o9i1QyLFb4Q1cnBASsbxCgGCDlNn1TpPIYn1wC0d4DbvdupJZBHOJP7yU7vR4LVz9EKP4QcE9BjEIIIo8KTy3HLlv3cd/Bkomuew3hBDfSoFzc83YezevnlhZQP2myLBIgARIgAU8C6MLDw9Lp66mfnd2kbgU5/dY07/Lly92SRzyGhzMe5tpdbmfQrkh90NtxXvt4uEMgoFz1+4QQRTcpyos0+tirXB5PHgG/7wFnS9WVwykU1eUE9UcTAi80z5mkuM9QLu5N3Fd2gOiE1RL3Gup0fjfgchAuoFyIbWd7A/f1whHHw5UVLo4CNBwdxpEACZAACfhGAJYcPGzxINOHIAQkBmLgoaeDI8JViIcqLEEImhf5vB7iKh7xMPWy/GAQFNqDB7cGnaZHRaQej7T1mu8T3Z4QujhXr3ZEKpvxySMQzT1QUhKwssPdI9w1xD2n8bjvdIAQ7g0VdbiPcf8izssCimmf8Kdl4exfeuklIzrVbxrtRry+2OA+Rrn4PuH7hrLxWcvAPr5/CNoWJ1WUiYD2aj5851AH4vQ75cwX62cK0FiJMT0JkAAJkEDcBNAFjYejzrmJhxwEZLRd03hgv/FGYElM5MUDMZxIXLt2rXlgYu5DjAh2C6gfZWAgk/q7IR1EI9oabUB7IADcRAUe2qgDD32kY8gsAtHcAxBzSAchBl/McAIO9wHuJbWi6/2N+xDHcS/iPtHudTcayLN48eKQOT6RDsdVtCJ/4DvxU1NuQLQ+Gvw+4R6GcEZ7Ue/WrVvNzBHI7zVwLyBa3zHfG80H0RqpvW7nEO5YAeZwCpeAcSRAAiRAAiRAAiRAAiTgJwFaQP2kybJIgARIgARIgARIgAQiEqAAjYiICUiABEiABEiABEiABPwkQAHqJ02WRQIkQAIkQAIkQAIkEJEABWhERExAAiRAAiRAAiRAAiTgJwEKUD9psiwSIAESIAESIAESIIGIBChAIyJiAhIgARIgARIgARIgAT8JUID6SZNlkQAJkAAJkAAJkAAJRCRAARoREROQAAmQAAmQAAmQAAn4SYAC1E+aLIsESIAESIAESIAESCAiAQrQiIiYgARIgARIgARIgARIwE8CFKB+0mRZJEACJEACJEACJEACEQlQgEZExAQkQAIkQAIkQAIkQAJ+EqAA9ZMmyyIBEiABEiABEiABEohIgAI0IiImIAESIAESIAESIAES8JPA/wdU0cTjbwhwSAAAAABJRU5ErkJggg=="></p>
</div>
<div class="specification">
<p>Satellite Y orbits closer to the centre of Earth than satellite X. Outline why</p>
</div>
<div class="specification">
<p>The cable acts as a spring. Satellite Y has a mass <em>m</em> of 3.5 x 10<sup>2</sup> kg. Under certain circumstances, satellite Y will perform simple harmonic motion (SHM) with a period <em>T</em> of 5.2 s.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Satellite X orbits 6600 km from the centre of the Earth.</p>
<p>Mass of the Earth = 6.0 x 10<sup>24</sup> kg</p>
<p>Show that the orbital speed of satellite X is about 8 km s<sup>–1</sup>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>the orbital times for X and Y are different.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>satellite Y requires a propulsion system.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The cable between the satellites cuts the magnetic field lines of the Earth at right angles.</p>
<p><img 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"></p>
<p>Explain why satellite X becomes positively charged.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Satellite X must release ions into the space between the satellites. Explain why the current in the cable will become zero unless there is a method for transferring charge from X to Y.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The magnetic field strength of the Earth is 31 μT at the orbital radius of the satellites. The cable is 15 km in length. Calculate the emf induced in the cable.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Estimate the value of <em>k</em> in the following expression.</p>
<p><em>T</em> = <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="2\pi \sqrt {\frac{m}{k}} ">
<mn>2</mn>
<mi>π</mi>
<msqrt>
<mfrac>
<mi>m</mi>
<mi>k</mi>
</mfrac>
</msqrt>
</math></span></p>
<p>Give an appropriate unit for your answer. Ignore the mass of the cable and any oscillation of satellite X.</p>
<div class="marks">[3]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the energy changes in the satellite Y-cable system during one cycle of the oscillation.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram shows an alternating current generator with a rectangular coil rotating at a constant frequency in a uniform magnetic field.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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" width="506" height="199"></p>
</div>
<div class="specification">
<p>The graph shows how the generator output voltage <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>V</mi></math> varies with time <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math>.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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" width="520" height="382"></p>
<p>Electrical power produced by the generator is delivered to a consumer some distance away.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, by reference to Faraday’s law of induction, how an electromotive force (emf) is induced in the coil.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The average power output of the generator is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn><mo>.</mo><mn>5</mn><mo>×</mo><msup><mn>10</mn><mn>5</mn></msup><mo> </mo><mi mathvariant="normal">W</mi></math>. Calculate the root mean square (rms) value of the generator output current.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The voltage output from the generator is stepped up before transmission to the consumer. Estimate the factor by which voltage has to be stepped up in order to reduce power loss in the transmission line by a factor of <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>.</mo><mn>5</mn><mo>×</mo><msup><mn>10</mn><mn>2</mn></msup></math>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b(ii).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The frequency of the generator is doubled with no other changes being made. Draw, on the axes, the variation with time of the voltage output of the generator.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b(iii).</div>
</div>
<br><hr><br><div class="specification">
<p>A lighting system consists of two long metal rods with a potential difference maintained between them. Identical lamps can be connected between the rods as required.</p>
<p style="text-align: center;"><img 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"></p>
<p>The following data are available for the lamps when at their working temperature.</p>
<p> </p>
<p style="padding-left: 90px;">Lamp specifications 24 V, 5.0 W</p>
<p style="padding-left: 90px;">Power supply emf 24 V</p>
<p style="padding-left: 90px;">Power supply maximum current 8.0 A</p>
<p style="padding-left: 90px;">Length of each rod 12.5 m</p>
<p style="padding-left: 90px;">Resistivity of rod metal 7.2 × 10<sup>–7</sup> Ω m</p>
</div>
<div class="specification">
<p>A step-down transformer is used to transfer energy to the two rods. The primary coil of this transformer is connected to an alternating mains supply that has an emf of root mean square (rms) magnitude 240 V. The transformer is 95 % efficient.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Each rod is to have a resistance no greater than 0.10 Ω. Calculate, in m, the minimum radius of each rod. Give your answer to an appropriate number of significant figures.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the maximum number of lamps that can be connected between the rods. Neglect the resistance of the rods.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>One advantage of this system is that if one lamp fails then the other lamps in the circuit remain lit. Outline <strong>one</strong> other electrical advantage of this system compared to one in which the lamps are connected in series.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how eddy currents reduce transformer efficiency.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the peak current in the primary coil when operating with the maximum number of lamps.</p>
<div class="marks">[4]</div>
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A small electric motor is used with a 12 mF capacitor and a battery in a school experiment.</p>
<p style="text-align: center;"><img 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"></p>
<p>When the switch is connected to X, the capacitor is charged using the battery. When the switch is connected to Y, the capacitor fully discharges through the electric motor that raises a small mass.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The battery has an emf of 7.5 V. Determine the charge that flows through the motor when the mass is raised.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The motor can transfer one-third of the electrical energy stored in the capacitor into gravitational potential energy of the mass. Determine the maximum height through which a mass of 45 g can be raised.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>An additional identical capacitor is connected in series with the first capacitor and the charging and discharging processes are repeated. Comment on the effect this change has on the height and time taken to raise the 45 g mass.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>The primary coil of a transformer is connected to a 110 V alternating current (ac) supply. The secondary coil of the transformer is connected to a 15 V garden lighting system that consists of 8 lamps connected in parallel. Each lamp is rated at 35 W when working at its normal brightness. Root mean square (rms) values are used throughout this question.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The primary coil has 3300 turns. Calculate the number of turns on the secondary coil.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the total resistance of the lamps when they are working normally.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the current in the primary of the transformer assuming that it is ideal.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Flux leakage is one reason why a transformer may not be ideal. Explain the effect of flux leakage on the transformer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.iv.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A pendulum with a metal bob comes to rest after 200 swings. The same pendulum, released from the same position, now swings at 90° to the direction of a strong magnetic field and comes to rest after 20 swings.</p>
<p style="text-align:center;"> <img src="data:image/png;base64,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"></p>
<p>Explain why the pendulum comes to rest after a smaller number of swings.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>A cable consisting of many copper wires is used to transfer electrical energy from an alternating current (ac) generator to an electrical load. The copper wires are protected by an insulator.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: center;"><img src="blob:https://questionbank.ibo.org/bd73db7f-3f45-4a7f-b356-67d8fed5fa2a"></p>
</div>
<div class="specification">
<p>The cable consists of 32 copper wires each of length 35 km. Each wire has a resistance of 64 Ω. The cable is connected to the ac generator which has an output power of 110 MW when the peak potential difference is 150 kV. The resistivity of copper is 1.7 x 10<sup>–8</sup> Ω m.</p>
<p>output power = 110 MW </p>
<p style="text-align: center;"><img 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"></p>
<p> </p>
</div>
<div class="specification">
<p>To ensure that the power supply cannot be interrupted, two identical cables are connected in parallel.</p>
<p style="text-align: center;"><img 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g6170TeBDEUJLZraCy5AGCK//dQ/5iRXd2Io8ungndaQ2XIfLEkwOs2lvSpO7IEjJMw+7nZve70fQvILMixncUlxwWg51CQ9yt0XLvT25ZePQYP2h0XYM7/HjJ7Dv2YHkdOvgXnznwKt3oeAh1oqfy3ARe59VbOIyQQfQIMCNFnTo2aEbgfU3JXYGPaQZS92uBrmL2XYa85gHrrBpQvnoXv5GTDXH8ANfbLkNttrxtNVS9jta21t1XuGpRtO+x/HLUTbbYSLK19CrtenA1Tr9TjYH2xFLlHf4bSqjP+oNAJZ10F1m8AdpTnIZW1rRc1HogvArxE48sftGaYBIzm72Pr/v1Y1lUJS5IBhqQnUda1FM37VyEj+R6YrGvwfs10fDg/BUlirD/lJZyaWIDDh4ph7qk7+0WsybqEbalJMBjGIOvkNOy1l6uGmoIzGCcsRJW9CnOvvOLTbRgD65GxWNO8B+syHgpOzF8kEIcEDJIkKc9fxNQ8g8EgPxMeUyMSQDk5J4CTY1REXlvag9eaMXsI2vuQGkiABEhAFwQYEHThJhpJAiRAAtoTYEDQnjE1kAAJkIAuCDAg6MJNNJIESIAEtCfAhWnaM044DWLii1v8EYiT50fiDwwtChBgDyGAgjskQAIkkNgEGBAS2/8sPQmQAAkECDAgBFBwhwRIgAQSmwDnEBLb/5qVnuPVmqEdkmDO6wwJW8JlYg8h4VzOApMACZBAaAIMCKG58CgJkAAJJBwBBoSEczkLTAIkQAKhCTAghObCoyRAAiSQcAQYEBLO5SwwCZAACYQmwIAQmguPkgAJkEDCEWBASDiXs8AkQAIkEJoAA0JoLjxKAiRAAglHgAEh4VzOApMACZBAaAIMCKG58CgJkAAJJBwBBoSEc7l2Bb5+/TqWLVsmK/jhD3+I9vZ27ZRRclgEGhsb8e1vf1tO++abb4aVh4kSl4BBipOXzmj98ejEdXFwybXkvGbNGuzatSugcM6cOTh16lTgN3eiS0AE5IkTJwYpPX36NGbNmhV0LFI/tLy2ImWj3uVozZgBQe9XyCDtFxdUNLc4ud+IZpHjRteZM2cwe/bsqNpDf2uLW+uAwCEjbf0Xl9JFpdXi39q1a4PKW1BQEPSbP6JL4JFHHuml0OFwaOJ7BoJeqHV5gAFBl26LT6O3bdsGJSisXr0aW7dujU9DE8SqlJQUNDQ04Lvf/a5c4nfeeQepqakJUnoWcygEOGQ0FGo6zqN1l1OgiYYOHbsgJqZHwyfR0BETeHGkVGvG7CHEkbNpCgmQAAnEkgADQizpUzcJkAAJxBEBBoQ4cgZNIQESIIFYEmBAiCV96iYBEiCBOCLAgBBHzqApJEACJBBLAgwIsaRP3SRAAiQQRwQYEOLIGTSFBEiABGJJgAEhlvSpmwRIgATiiAADQhw5g6aQAAmQQCwJMCDEkj51kwAJkEAcEbgnjmyhKSOIgFhiz40ESEBfBNhD0Je/aC0JkAAJaEaAAUEztBRMAiRAAvoiwICgL3/RWhIgARLQjADnEDRDm7iC+bGUxPU9S65vAuwh6Nt/tJ4ESIAEIkaAASFiKCmIBEiABPRNgAFB3/6j9SRAAiQQMQIMCBFDSUEkQAIkoG8CDAj69h+t14TAbThti2HIscHp7VuB12lDjmExbM7bfSfiGRLQEQEGBB05i6aSAAmQgJYEGBC0pEvZJEACJKAjAgwIOnIWTQ2PgNfdhL0lORDvUzIY0lFQeQxOT/fYj9fdgrrKAljk8yJNDkpsjUFpfJq+QOvx11BgEWkMsBS8huPOzn6NCNZtwbwSGxoHyNOvQJ4kgSgSYECIImyq0p6A93IdVmQsRA1WwnGzC9LNdzD33HpYiw7jsogJnibsXLISR5JeQEuXBLGIrsu1Hkm1L2Dlr5rhUZtYvxGr99+LVS13IEk3YP/RVZSnLUFlS4c6VWDfp7sQjeNfhkuW3Ya30s5gqbUUdZfvBtJxhwTilQADQrx6hnYNgcBtnD/2LmxYhi2bFiI12QgkP4ZnCxYAtndx7PwtdDYdxk5HNgoKvwuz/+o3mudgWf4M2I+3wtXdkQDMq7CrfAVmmu8FYEJq3jpsKb6CnQc/Qu9+wjXYXy+HLX0tNhXN8ss2Yery7diX/2esfv10iDxDKCKzkICGBPjqCg3hUnSUCXgv4vSB00D600gRwUDejDBllcMl+X+mlsPl8sLjPIW6E9cBeNFxdg8KK+qB7Kf9ifx/0mdgmhwMlMPJSEmbDPfmE2jeZIVVOSz+dv4Nx2pbYM6fhPGKavl8cJ4sU9BJtQTuk0DMCfDqjLkLaEBUCXhaYSt4AqPTluCNs18CMOKhnAo0Vy8Czp1Hu2quYSh2uSvmY0xgbkLMPTyAtMLfD0UU85BA1AmwhxB15FQYOwK34Tz4CgqPz8Wh9p3ImyCGgsR2DY0lFwBM8f8e6h8zsqsbcXT5VPBOa6gMmS+WBHjdxpI+dUeWgHESZj83u9edvm8BmQU5trO45LgA9BwK8n6Fjmt3etvSq8fgQbvjAsz530Nmz6Ef0+PIybfg3JlP4VbPQ6ADLZX/NuAit97KeYQEok+AASH6zKlRMwL3Y0ruCmxMO4iyVxt8DbP3Muw1B1Bv3YDyxbPwnZxsmOsPoMZ+GXK77XWjqeplrLa19rbKXYOybYf9j6N2os1WgqW1T2HXi7Nh6pV6HKwvliL36M9QWnXGHxQ64ayrwPoNwI7yPKSytvWixgPxRYCXaHz5g9YMk4DR/H1s3b8fy7oqYUkywJD0JMq6lqJ5/ypkJN8Dk3UN3q+Zjg/npyBJjPWnvIRTEwtw+FAxzD11Z7+INVmXsC01CQbDGGSdnIa99nLVUFNwBuOEhaiyV2HulVd8ug1jYD0yFmua92BdxkPBifmLBOKQgEGKk6+ZiIU/cWJKHLopciaRc+RYUlIwAV5bwTy0+KU1Y/YQtPAaZZIACZCADgkwIOjQaTSZBEiABLQgwICgBVXKJAESIAEdEmBA0KHTaDIJkAAJaEGAAUELqpRJAiRAAjokwICgQ6fRZBIgARLQggADghZUKZMESIAEdEiAAUGHTqPJJEACJKAFAQYELahSJgmQAAnokMCwViqLVXPcSIAESIAE9Emg59shhvX6657C9Ilk+FafOXMGa9euhdVqRUVFxfAFUgIJkIAmBHbt2oUTJ07I9TQ1NVUTHXoWOqwegp4LHmnbv/76a3z00UeYNWtWpEVTHgmQwDAIOJ1OjBs3DmPHjh2GlMTIyjmECPn5gQceCAoGYjhN3I1cvy4+08iNBEgg2gREICguLsbSpUvx+eefR1u9LvUxIGjkti+/FJ9nBL7xjW/g448/1kgLxZIACfRFQASDp556CidPnsT06dP7SsbjKgIcMlLB0GJX6SGI7qrYFz0J8Y8bCZBAZAmI+mW325GXlxdZwQkkjT0EjZ0tAoEydiku1rlz56Kurg5izoEbCZDA8AmIuiSGZ0Vv3OVyDV9gAktgDyHKzhfjmr/97W8h/h4+fDjK2qmOBEYeAfGU31//+lcsWbIkcPM18koZnRIxIESHc59axN3Nn/70J8yZM4dDSX1S4gkS6CYg6szRo0flAxwe6uYSiT0OGUWC4jBliOeiOZQ0TIjMnhAExHCrqCtiaEis++EWWQLsIUSW55CliSGk9957Dz/4wQ/4RMSQKTLjSCcgAoIIBMq83Egvb7TLx4AQbeJh6hMXvthyc3M5lBQmMyYbWQSUoaFXX31VfhAjJSVlZBUwDkvDIaM4dIowadq0afjzn/8sd4/r6+vj1EqaRQLaEBA95lGjRslDQx988AEYDLTh3FMqewg9icTZb1ExWltb+Wx1nPmF5kSegFhHcOvWLbnxF70D8Y9DQ5Hn3J9E9hD6oxMH58QLuJQnKdrb2zFz5ky8/fbbfCVGHPiGJkSGgAgEyjqCpqYmWahYvMlgEBm+g5HCgDAYWjFOK7rNovvc2dkpL8IRvQduJKB3AmKOwGKxQLzuRbn50XuZ9Go/h4x06jlxV6XcQYl3JYnxVr7OV6fOTDCzxfX6xz/+ET/5yU8C13CCIYjb4rKHELeu6d8wJRiIVF999ZX8RkfxMi/2GvrnxrOxIyCGPBcuXIif//zn8sMS6ms4dlZRs5oAewhqGjreFxNw4nsM4s2OpaWlOi4JTR9JBNSTwyIgXLp0Keg18SOprCOhLOwhjAQvAvJaBfFxHiUYiCElMQEt1jOIfW4kEE0CovEXE8ViKLO5uVlWLebA+AGpaHph8LoYEAbPTBc5RHdcBAOxxF+8BVK8AIwbCUSLwOrVq2EymeSJ4uzs7GippZ5hEuCQ0TAB6iG76CEo32EQcwxXr17FjBkzuAJaD87TgY1iWEi8bE4spOQ3xXXgsH5MZA+hHzgj5ZToLag/ynPkyBF5Uk+sZ+BGAsMhIFbRi2GhtrY2/PjHPx6OKOaNAwLsIcSBE2JhghjjFYuAlBeFid98PUAsPKEvnaI3IF7X/thjj8nXi7huREDgE0P68mNf1rKH0BeZEX5cNP5iEZBSkUVvQVkFLSo5NxJQExDDjupJYhEExCauI+UaUqfnvj4JsIegT79pYrUIBOIrbmIy8Pnnn9dEB4Xqh4DydJpo8MW18emnnyIzM5MBQD8uHLSlDAiDRpY4GUQjMHHiRGzbto3faUgct8tPpNXU1OCTTz7B1q1bwaeEEsf5HDJKHF8PuqRiOEC8X0bcFe7evRt8DfegEeomg3qYUHyfeNmyZfIiRwYD3bgwIoayhxARjIklRKxpWLt2rTysNHv2bH7hTafuF48giyAv5o/EwwV8ZFSnjoyg2QwIEYSZSKLEHWVjY6O8+E00JHyxXvx7Xzwh9Pe//z3gKxEIxo8fz3mB+Hdd1CxkQIga6pGvSDQw4kkU8QIz8SF0vqYgPnwu3i66f/9+7NixAxs2bMAvfvGLoHUp8WElrYgHAgwI8eCFEWSDeDJFvLtG/FNeb8zXc0fPwaIX4HA4cOHChcAaE8FfvBGXq9Oj5we9auKksl49F6d2i0cUxUSkeMme8nz6F198AfFqboPBgPLy8ji1XP9mibkdsT5APAAgNmV1+vTp0+XemvJb/yVlCbQiwB6CVmQptxcB0Xu4du1aYAxbBIeOjg489dRT8qI4rpTuhSzkATF/I1aZi3cHiWEg8VSQaPRF70BsbPhDYuPBMAgwIIQBiUm0ISACxGeffSY3aOKzoMqru8WTLw8++CAefvjhQPDQxoL4lyqeBLp48aL84SPR8xKT9+KYCAaPP/440tLSGADi3426sZABQTeuShxDxdCH+NCP8sF1sXpabOK4CBLjxo0LDEeNFCrirl/0nsTYv3iFiOgtibF/MfzzxBNPyIFgzpw5bPxHisPjtBwMCHHqGJrVm4D4voO4M7bb7fJH2ZVAIXoUHo8H06ZNk8fQ43XoSXnss7W1VS6c0vCLQCeGfsTdvxg+U1442JsAj5CAtgQYELTlS+lRICAaVDGO/vnnn8valAVW4jFYpfEVwWLRokXyHbYYclFvyhoK0WCLf8pkuDqN2BdDXLdu3Qq8FVaZExHHxJ19bm6uLF/YI14xLjYRvEQgU+74xeOfwpbk5ORA+p56+JsEYkWAASFW5KlXcwJKgy0UiXF4ZchF3WCLcy+99JIcBERPY/PmzfjLX/4i2yYe3xTBQjwhJe7gn3zySfnuXXmOX+mxiMTqgKPWK576idcei1xI/kcCKgIMCCoY3CUBEiCBRCbAdQiJ7H2WnQRIgARUBBgQVDC4SwIkQAKJTIABIZG9z7KTAAmQgIoAA4IKBndJgARIIJEJMCAksvdZdhIgARJQEWBAUMHgLgmQAAkkMgEGhET2PstOAiRAAioCDAgqGNwlARIggUQmwICQyN4Pp+weJ45XbsNe5+1wUusgTSecx19H6d42eGVrb8NpWwyDpRSNnb4j4ReiE866UswzGGAwWJBjU2SGL2FEpxxx186I9pZcOAaEke/jYZTQi86mGhRs+ARdw5ASV34ISosAAAemSURBVFk7m1Fd8CpaIlAgr/M9rHnmfUw+dBFdkgvHlk8FK5Ti7RF47ShFG8F/ef2OYOeyaNEgcB/GPfQgA0E0UFOH9gQkbiOcwFWpoThDgrVY+s2O5yUzIMG8UWq40SVJ0h3J1fy2VGw1SxDHkS0VVzdIjpviXJd0o2GjL718DpK5uEG6caNBKjb79wPklLQZUnHDVUmS+tD5eb1UbDZL2b+pl87WFEtWRe7zO6V6x42AtF47sk5fvg93+ssAs2Qtfltqdt1RJRflOSTteH6avzyQy13d4JBuilR+231lVTh8JTmqF0kwPy/teHeH9LxZcBDnnpd21PvzqTT4dr/25fHb70uvML0hORqq+2AqcvfBRvZHL0WS1OWSmvtiFQFfWIurArxk/woTeugU106AoTiv8kdoPyrXg58lel4vIcrJQ3FBgD0E7WNufGiw/xGnx26AU7oDl30lZpr+ict165Cx4ATGb29BlyRBuvlfSDtZBGvRYVz2GmHK2oq2ho0wYxGqHV/DtT0LpsGUpqfOMUkA3Kh/oRKHRv8n3hc6u9qxb8IHyF5ZjRZPf2P4It86vIUX0NIlbG3EGuxD5pLd/nxeeFp2Y8mCI0haVe8rjyjrllGonb8Ov2rpAExZ2N7WgGKzGdnVn6HLVY4sk78KuI/jDx9NxiZnFySRb99k/CHbn69Xme9H6vKD6HJUIxsZKG64CkmW5UGbbS2sS08GmHa5Xsb4k0VIW1AVXL6ebBQ71Lq8l1C3IhuZNUlY47gBSbqBxrmtKLCWou7yXXXKgfd76vP7wl77CcZuPAOp6x+wv5AJk1/ngsZvYbvrDiSpCzffegwnlz6DorpL/nkXoa4/PwrUw7x2Bi4RU2hAgAFBA6hxKdK8AAXPPoZk3Atz6iNI7jyN11fXIX3rRhTNNPuGPJKnYfkbVcg/Wo7X7deGX4yeOv0SzcUl2JQ3Fcnit9GMzO9lwGz/EJ+4+m/kzMt/gfKiWTCLqzZ5KvI2laDY8TscbLouvlaApoO/gyO/AIVKeURZrc8hP7sNxz+5omrMQhTNvAxbNi1EarIQPoh8alGdzfjvzU3I3fVKgKnRPAtr36hCsWMHSg86u23og41anPd8A35tuw/FW9YhL1WEYhOmPvsfyEcdfn3sQrcsdaa+9vvQZ87/Dzw71QQYv4nUf01Gp/3XWG17FFs3FWKm+V7hICRPzccb+xbg6Opfw66aeB+qH/sykcdjT4ABIfY+iIEFXnQ2n0Ct24Lpk8YFj38nW5CW7kLtsb+hMyqWGZGcMgXpuABHu6cfjWakz3rMFwyUVEG2jkPW9ma4tmfiSuMR+aM0dXV7UDI/C4X1t5Qcg/x7C+ccLvRnVbdAhemjmDXtX0IwxSBkCam3cf70B6jHZKSlyKHTp0r0clxaTWBfR/OxerjNUzBpvAgGyub3kbsex5pF8A21hevHUHl5LF4IMCDEiydiYkcLKuY/DIP82KR4dNIAQ9KjKKx3x8SaoSp1f3wRV7xeeNr2osAyBmnz38TZDjH89E3kvFWH6uzBNsZDseQurlw8j/7I+ewciuwo53H/EvPHJAVdF0lphaiPshlUF30C90RfJTXGDwExN/A2lqfe34dJ3ij1EvpQH+Zh8/RJGA8nDhZtxPHcQ2jfk4cJyq1OZyNKzrmB6WEKG3KyezF+0hSYcb5PCbKdRqC9zxRxciK7Go6jy5GqMOxpVnS6jj218ncUCPTl8iioporYETDClPk95Js/w5nWfwSPRXuaUDlvSt+LrORhGnMMTHf3HnLxuOA4Z0F+zuMwyfvoNazkvdmBCMyGhFHe/pgKO4H0NItv3iQMacD9mDL7aWT3HErztsGWY4EhxwbnKDG8F0lfjEVmTjbM5z5Cq1s9nyMm7F/DPMNi2EbMAsWwnJBwiRgQEs7l/gKbZuPFXXNxdPXLqGpy+4KCpw11ZVuwAatQvjgVRjGhKI/vizxe3PLcgtc4CbOfmw137e/wXpu4VfTC4zyMbWU1/Q6XRAKzu2I7ttW1+cb0Pa2wrSlCbW4pXrSOA0yPIyffgvraA7D7GzOv+wyqSn8Gm3ocRw5oo3zm3PKg3webBmu0KRP/uXVmD6Y+OyvSNviZhi/UOCUHJRu/gYqy3WiUy3QXbvsB1NbPwI7yPKTeE2lfGGGyrsSu3JNYXboHTbJOn3/L1u8GdqzH4j57kz3LFeLa6ZmEv+OOAANC3LkkWgbdiwl55bDvm4srJRlIEvMHoxfhyMMr0bx/FTLkp20AX6N0A4VpD+LBZ97Fee/9SF28FfXr/onNj46BwZCCBdVf4Zktm5CtqelmWIufxZMXfolU2dZ/x8n0StirFvqHh8bB+tM3UTPzfzDfcp88/p3y0oeYWPAmDhVndFtmnIzcknzcLXwUSQ8ux8HzkXwlhwlTl7/Wg+n/hWNuFRzvFwWYdhszwJ5xArK21qB52S2UyWW6D5ayW1jWvAfrMh6C6EVE3BfGR5BXdQj75n6OEllnEkZbj+DhNQewf93MQfRwQl07A5SXp2NOwCBWQ8TcChpAAv0REPMAU5fi462NOMrXQ/RHiudIYFgE2EMYFj5mJgESIIGRQ4ABYeT4kiUhARIggWER+P943FMDWtzNpwAAAABJRU5ErkJggg=="></p>
</div>
<div class="specification">
<p>The energy output of the ac generator is at a much lower voltage than the 150 kV used for transmission. A step-up transformer is used between the generator and the cables.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the radius of each <strong>wire</strong>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the peak current in the <strong>cable</strong>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the power dissipated in the cable per unit length.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the root mean square (rms) current in each cable.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The two cables in part (c) are suspended a constant distance apart. Explain how the magnetic forces acting between the cables vary during the course of one cycle of the alternating current (ac).</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest the advantage of using a step-up transformer in this way.</p>
<div class="marks">[2]</div>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The use of alternating current (ac) in a transformer gives rise to energy losses. State how eddy current loss is minimized in the transformer.</p>
<div class="marks">[1]</div>
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>Two capacitors C<sub>1</sub> and C<sub>2</sub> of capacitance 28 µF and 22 µF respectively are connected in a circuit with a two-way switch and a cell of emf 1.5 V with a negligible internal resistance. The capacitors are initially uncharged. The switch is then connected to position A.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>The switch is moved to position B.</p>
</div>
<div class="specification">
<p>A cell is now connected by a switch to a coil X. A second coil Y of cross-sectional area 6.4 cm<sup>2</sup> with 5 turns is looped around coil X and connected to an ideal voltmeter.</p>
<p style="text-align: center;"><img 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ALxo5w7d84cwzRJO6VKlTLtXMIBQoPfjXY0EB6850OHDlqPRk6jRo1NV2S0mQHoGNC1643mGCFOg+JCHAuu0OFe8jXqWLF3Rwb2Ni2IQ6AOBKJ0+PBhs8hv2LBB1qxZLQcPHjDPCZe6det5Xq+MeQ1tt4J5K+DKK6809/6A6EC8IDoYGLZnz27rkcBcf32GmcRp//0HDhww56GW0q239pMWLVp4/l+u9Ty3iRkDTUgyobgQxwErZfnyZYWsE+829Soc3iAGglkoO3bskF27dsn06e9Yj8SGrKx7rC2Rtm3bWlv5NG3aVC5evGhEBOnBuH399SljveDmi7S0NLniijSzvX//fnOP8z5x4iuPpdLIxFHs8RicGwTy5MlfujT7AvNvBg++yyNM15vfE0z4CIk1FBfiOObM+WeBsNxwQ5uAI34hJmh78tlnn3kEabmsW7fWeiR8NN6BoWRY1GGRwBLCa0e7OGsnZ4wOQBfnr7467jMRAK/v3d0Z4gMRunABcaQvIxJMWDa33z5QWrVqTaEhCYHiQhzH+PHjzH3nzp09t/zWJgrcY59//rmsXbs2YjHBQlu3bl0TBEewHNMtE+1GgtioKAZKPIDY9O79myJdmNVCwzCxcF19sL769u0rHTt2tI4QEnsoLsRxrF79iee22mzDasD43++/P+OxZvbLG2+8Zo6HChZSZF3Vr1/f83vqJCUWEarVgoSDevXqSm7ud7J//xeF4kwQmebNWwTMCgvXilNLzZd7Lxb4Sse2A2GH246kJhQX4kgQM1m2bGmRQL49EwsLNGa0aGAciyUyp1q3bpXwoLYKCN4PZscgcI+stkBTK1VMqlatZhZa7xjSoUOHJCcnp6CWBSD+0rFjJ7Mo+4o52cFr7969S95773356KMPraPOYubM2bSgUhSKC3EUWBDnzZvnWXTeNW4eZEoh/gHXVbCUYFyFA50KqSABwBsszP7iOABCAcGwA8tD0emXodbT4L3hfWkcJ5yCR7wPWCPbtm0tsHggMrfdlmnce6EAq2bLls2OFhqSGI4ciX39ly8oLsQRIIYyf/78gMFqTIDs1au3cQ0h6H7+/A9JGW3sD62j0Xn9ELVYT63cu3ev6SWm5xzJHP19+/aZtjHRJkBEC2JfEyZMKJQNR+JLenotigvFpXiAK/IxY8YEXORCyXTSan1gH2lsr9q3E8zigFVTuXJlay8fu0Wks/JBotuuqCWzdOkSsw9RGzRoUFgC4w0sRqRO+wOPIXlAUQssXNBpgDU4yYPi4oHiktpgMXvjjTf8Wiqo0xg27EHp3r07FyM/oMh09uxZJqYDt9sdd/zWeoQQ3yRSXNgVmSSc7Oxs6dChnU9hQVAeQd6VK1dJVlYWhSUAsJiysoYYtxLqguAyI8QpUFxIwsAV9ksvvSTDhz9qHfkFiMqHH37kuRJn9lA4wH3XvftNZhuxFEKcAsWFJAQIy8iRI4vUqcD9BUsFosKah8ioVKmSEZmffy6c3UZIMqG4kITwwgsvFEmBfeSRx2ThwkW0VKIE442RPYauzoQ4BYoLiTtLlnxcJL4yadLr8tRTTzENNQZs3rzZ3CMFmhCnQHEhcQdWi53//d+3JDMz09oj0YAgvlbwZ2S0NPeEOAGKC4krqMewN1REr6+ePW+29kg0QFjmzn3fbPfo0TOmxZqERAvrXEhcQdqxPTvs00/XxyW9WNu1aG8v5fDhQ9bWLwTq92XHu5DSXkSpQ8mCtZGJBzjPVatWyaZNG80+xhL07NnTbBMSCBZReqC4pAaTJ0+WcePGmO2rrqoiW7duM9uRoFX46PGljSEjGXccDxA7gmjqVEwVn1hX78NaWbjwXwXi6GssASH+oLh4oLikBkgxfuKJkdaeyLZt28MaVoXOwBAQuNYC9RCzWxlo0a/oIm8n1H5fag0p9rYyahGFYgXhvV19dc0C0UETznBcWHgPaL1i7ymG39m3b7+Et54h7obi4oHikhqgIeXgwXdae/lZYqEE8zdu3Oj52TVFFm60OUFWVIUKFc1CHevGkJGiVpUKEMQnUFNNFZz09HRj8fhyreFnt27dKjt35hR8DrCQQm25T4g3FBcPFJfUAK3eMzJaWHv5RZOobQmUguw9LKxx48Zmfr5br9LRAwxzaDBPH000fbny8HngHPF9x/N2795dSJjwObRr197Mw6eokEihuHiguKQOaPlir8xHxtjYsWOtvaIEGnOcKkA44FJbv36dX+sGwFLr1Kkz3V8kJiRSXJiKTOLOsGHDrK18UFCJQL8/dOgXigMxdwRX/qkAXGeIIcHlt3z5Mlmw4KMiwuLtHoOVg89g+/btheI/hDgdWi6u4qKcyH5c2g7fJyOy35MRrb6V7AduleGbhkr2ppHSqpT1NJB3RLIfvkOGL/i157lveZ5byXpAyZUtE++TzIni5/HYgir9+++/z9rLB3NaMMvFO8CPRRgZUXb3kWZjIVivsRZfcYp4AfeeCgHiKWfPnjPbEL6jR4+abaVkyZLm+MWLPxsXFnp/+UtiwL8f2rZcvHjJnKPOyMdngFk0yIqziwrSjtu3b8+aFhIRdIt5oLiEwlH/4uIh73i2PNzjUVlQ50nJnvOotCqnhmqenN3yutyR+YZHWabLnBFtJBFLlT0tWUEMZty48T77i2GB3rlzZ8BMMe/pj8gMg/iAcGpQdFgWXg9s2LDB3Hu3ralbt56UKVPGbNesWdPcp6WlmRvEIVAsCUCkcnNzzf3hw4fl5Mmig8zsQEQbN24i1113XaExzz///LPn3KqY96CDuzD5Mtjrk+INxcUDxSUUAouLyE9yPPu/pMfwT+XGSXPkL5np+X7Qsxtl4h1ZMlEe8RKd+DN9+nTP3/aP1t4vIA4T6O+NK3kIgAbFQy2E9AYWBL7xP/30owmyX7hwoSC92BdY0EuVKvLBBuTixYvmd587d87cjh8/bjLHgglJMBo1aiwZGRkFVhBeZ/369fLZZ7/UDkGsEaNp27atZ7ueESUKDlEoLh5SVlzyTsiWf7wmT49+W3aZAy1lyJhn5bHftZEaWOPP7pMVc6bK+Getx9NukRHjHpG7+rfyPB6GW0xR99jKDjJp6X9LZs082Tf199Lj2R8S4g7zBdKTR436Y6G2MEowkfFG4zEorAQnT570CMZ542pCWjBEKZZA0FTUYIHAZYXb6dOnTTZXuJ2J16xZ7fNzCAREpkOHDgWiceDAAeNG9Afcj506deJUT0JxARAXzAVPrRkfGue4KEPf+as8162cZ6F/UjKfXS4Nnp8n2feUlXlGCFrJ89l/lqENy8iJFZ77e6ZZ7quWcjZccfGg7rGVN74ui0eLjOn1lBx6MHHuMF/ALfTyyy/7nEYJsCAOGTIk5Hb8+H179uwxvcwQ/PZu76/Y3VrBSE+vY9xtcE1pLATWAObAg3hd+NjjO0BddRDKXbvyL0nwufXu/RupX7++2ce5L1u21GwHAkPZHn/8cY45KKZQXDygJxVIqe65Z1bI6HZZ8v7A6bJ+TDf5xYMO8jwPPyft7llY2IVVIEhXyPNL/yq9d/4xbHERuWBZKyvzd9Pul3fWPyfdKiTOHeYPWDGvvPKKrFu31jpSGLh5Bg++y/TOsi/mdjFZvny5358PBkQMlf1wI2nsAnGacLoIJBOcO9KZQfnyFSQnJ8evsNrBeT/zzDO0ZIoZFBcPqSguF7dMkBsy/yrpsFKGNvTKA1cBEI+I/F2GNtCraxWdZTLwnTnyWO6LEYiLB42z7KoofQqJlzNANtmbb04JKBIZGa2kdu3anqv606Z6PxxwxY4UZ41FoAVLqiysSFVGE0t7A0uMPEZW2+bNW4pM/1TwmcyePdvaI8WBRIqLk9aXYsLlUq3SFT4++Ivy/benPfeVpVJ5u0qUkCsqVPL81Bk5mRt+ALuAco3lxlvQc6ut9G5f03F/eLThx0KHkce4qvbFtm1b5MMPPwgqLLB2ELtBq5mlS5fL3r37zO9G4SYuVuBqTaUrdgTtwalTJ809gJWHzxQD2bCYfPjhR+YzsQMhh+VHSDyguCScb2TTwa89UuJNKSlfuYrn/lvJ/d7+aJ78cCZXfpQKUr1SfLJ+EN+Ce8oJIBaA2pfnnnteatasZR0NDlKSf/ObPvLnP78sM2a8WyAkWGRTPVsKY45BoLYwEFTEMJs2bWYdyefAgf3WFiGxheKSQEpd20puTRP58fQZ+cE69guXSfW610ia7JN1O095JEU5I19s3SHnpI40+HV8wu99+/aVadOmyY03djWpwohnJAO4ctAqBr3InnvuWTl+PHTz/csvj8m//rVAnnzyCenQoZ0x/yGaOB8IJ1KXUxXNlMO8GW9w3vgM7rzzTunX71bTBNPOjTd2s7YIiS1FYi74pyS+id5X6Z0tVkN+2PsPeTxzlKxBkP+F+rIsDtli+Zz1vPbtntduIJM2vCKZNYo+GQvRvHnzZObMd02tRKKy9bD4Q9wCBaI1sI9YCboPL1y4MKIgPlxudevWNdlfqRB7QVbZ9OnTTHp0r163mO4AaM+PIlB/mXjK2LHjJSsry9ojxQEG9FMZX3Uuz/+nDL2jqzRAMWOs61wKCC4uChYq1F8gwA7uvvtu6dq1a8wzqGCpTJgwIaCoPPLIY9K7d2+fIherjDGgAX8kDKBJpGaOIe3YKeKDv4taKUhPRgHorFkzTY2Nr4mb/sC5jh49OsXS/EkoUFyIY4AAIBsJbVtGjRpdJCU4ErBITp06tUgrGAWL34MPDjPWUzjxEhUb1ILs2LFD5s59z3okNtx0Uw+pWLGSXHZZaalf/5pCnYrLlUsrNKQsVLSGxQ6mTaKnmBLMAgkVCHWXLl1Y41KMobgQx4GFG3PbZ8yYYfYjWfwBXG8jRozwaWVAVEIp8IMrCFXxuIpHc0e0gwG+5qSgDQsWarRfQcU+Xv/s2e+tR1MbuABRmd+8eXO2gSEGigtxNHBDzZo1y7jOEAfp379/SK4jxFbsUymVYKKCNvXHjh31O2jLF9q2HyDQXbFiRWtPTC+xU6dOmfYtOj0S97G2dBKFuvSaNGkiNWpUNxZUvLoHEHdDcSGuANbMggULZMqUNz0LW9OA7VogSMhW8sbf2GO0Olm3bp3JbtJeXgquwCFm2gkZ3YABKutjMaURrkCgrfXtbfUhbtHEdsIBSQwZGS09ltppY31ph2dYId26dTdTKd3SSYA4A4oLcR2a8bVr104ZNuxB6dOnT8HCBxEaMCCzUINGLJyoR/Fl8SDmMHfu+9beL6OOa9WqbbK7nDTLRIXIG1hDOA8II1r5f//9GcnLyzNBeG8w7wXnhnNE12NYUbt37yoy6hjWCadSkmiguBDXYk9nnjs32whMfr3JL0FpxAKQJeYvBvDqq6+YRTkVF1NYZMjugvjAMgrm5sNn1Lp1azPTJdTZNIT4I5HiwiJKElNgiTz00EOycuUqIyywWuzCAosFFfjFNbgMqwtdljHUDLGgYIKBVOgKFSqa5xPiJmi5kLjiPd7YX4zFDtxJmE+isRYswBAl1KDALeaWK3hYKXBxIasNMZPc3G/9Wiqw0hCIR/wICQd4nne8qVmz5saKoVuMRArdYiRlQHfr4cMftfYgHPtCslqwMG/btlU2b95cJKAP0EsMrfKrV69eaLRxIhdepENrTESLG7WYMZC7C+J49dU1zXuHmAR6zxDaHTu2F/p9jL2QSKG4kJTBe6xxJF9sLOCYtoiFGzEdX2LjjWaUKd7pyOFgr6UBweIkdiAE+toQEghLJBltmj2H1voKfnf//rfFJEOOFA8oLiRl8LZc0Po92rYjajEgKA4Xko42RqGkPbsqEcCCKlu2TIGAYOY+bpGKSDC8RQYimpU1xDWuQpJcKC4kZUCqbo8e3a29/Bn5aIcfbzTeoaBSH7dI0VoagIB8stOhIaKoMUI3aAoMCRWKC0kp0O7dXngYC+uF5FtwixcvlpycHUZgHnroYbrISEASKS5MRSZxB12V7Qwf/piJnZDogJD06tXLuOYQh0LTTkKcAi0XkhBQ+2JvrY/U4kmTXnO9BYNFXTPFvNH2MUBb+AcCbq1I2rmg9xqKVhHgv+OO31pHCSkK3WIk5fDVAgaEUveSDAL1F0PDTu/ziAfakBIgWQADzgCGnKG4UsUI7wt1QVWqVPV8xgPMcwjxBcWFpCRwhd19911FFmYsoqjaT3QnXwgIMs7QIVlnqMRqdkoi6dfvNqldu5aUL19BWrZsaSwkdkUmdvC/hx53SK5ZunS5OYYklVBqziKF4kISCr7kL774os/pk8gku++++2K+MOI10c9Lx/+iTiVRnY0TwX333W8WiU2bNnnOb711lPNcijP4zmM665o1a8z/mlrBuHjC/xnANtzTffrcaobI4cIklt+RmIgLTC03kSizkPgGcYr33nuvUHGlnWhEBu43uIlCnSMfLliw0RkAYH6KPSVZ3VXhEGwSJWp3Ao2B7tevv2mLg890zpx/Fkq/9oaTKFMfdCd/5ZVXzDbmLLVr1y6ghYL/FySCfPLJJ/LGG6+ZabODBg2KKPbnjWMtF7gs3nrrrYTURJDkgL8xZrn7syJwtYWJl61atfb7Zdd/jmBz9FGbgqyqQKD1PWakVK1aTapUucojIlcWtJipWzf8EcaxBueqRaIY44w4EFr5g2XLlnk+h91mOxj4XDlDP7XQ/yXE4QLNVQoEvl+YNjtx4gQzBHDo0KFRWTIUF5J00NzyhRdeCBgk16tuLP6wTHCFhtvJkydMM0uk5eIGgQD4p4iHGwi/U9vK6LAyrcpPVHElssM+/nhxgdAMGDDQBPu93X/BrLaxY8d7rMQsa4+4FbRYwsC+cePGx8QqhchMmTJFFiz4SP72t79H7KamuBBHALfO1q1bjUkfLB6Cxb158xZGVLCohwrEIJLFP5xeYkBbwqDLsQpPLJpMwlJBppq+H1ylDhx4e8DKfPwfrV+/3szY8fW5btu2PSYuEJJ48D8zcuRIs42EmFj/HXUs+cyZsyMSLYoLcRxwcc2f/6H89a//Yx3xD/6hqlevYawWZEnhCh43dB2GvznWwFpAZTzQ+hbtbRZMhCA6EBmteQlVcHx1Ru7cubO0bdsurIp8/E+NGvXHQkH/V1+dZCwf4i5UWFq0aBG1+yoQsIaR4RmJVURxIY4CX+a5c+cad1eJEiXM1TrG/Wor+2Bo9gsEpmnTpnFPt/QF3rP2MsP7DtRQExk8sKgw5tge18HzMerYe+TADTe0kfbt24dtgeEqdP78+UVcZWzF404w3RW1T0899ZR1JH6owIRb9ExxIY5A/95Y/DS1FiC+guD1oUMHzX7FipXku+9yzXaoIICNIVsqOJFWwkcLREfrahBf8iU4EBtvMcL7zchoaWbshyoq+DwhbJs3bzFZQL7A5zJ79mxrj7gFxFiQYhxoVHiswcUJrF4dXR4KFBeSVPB39s4Ye/jhR8w9Zrig8tw7a0zjM8EyxIKBlGetfFdXVaIsHbjWNPCOzsb+gCsNVff+RAWfH4rj8LsgXtu3bw+YuqwgpfqZZ54pSE4g7gB/7wce+L3MmPFuwv92ELVdu3aFvCZTXEhSQEbKyy+/XMRNA3r3/o3Ur1/fbGPKZJs2bYzbqGbNmj5jDKGmI4cDBA1WhK+2KyAcEbKPO0Z85quvjvu0WiAk9erV9Vg3p2XLls1y4cIFcxzWDkQV5//NN9+aY5HW7+C8Hn/8cda6uBS4w9q2bZuUlkm4qLv33ntDTmOnuJCE4z1X344ufkjrXbfu0yKLMFxEOiIYlgbExzswjn8CLOQoUEQwHHGLWAhOINq2bW+uJC9dumheH0PMcMvN9e/CgzUC4dm7N77djLVSv3v37rRUXIxa+cl0ZcI9hozOUN4DxYUkDCy6kyZN8hkD8HdFDVfP/v1fyMGDGHEcuLOCpgCXKVPWiI8CEcLXHL/r2LGjcurU1+b7tXXrloJYTqqAhAbM18fVLSwttn1JHWC13HRTd+nZ82brSHLAfKZQegFSXEhCgLAgddI7HoDFMJw0Rw2KnznznZlrH4vRxvrz+L2IheAexNuiiBS45NLSynlEtIwJ9N98883GektGZhxJDHD9ZmS08Hwn9yX9b4zYC9y8GKMRCIoLSQgvvfRSEYsFVffDhw+PyT+LztUH3iON/aUxB0sRVuC6wg1Fm//+9zdGKCtWrCClSpWWbdu2eRb6NOuZv+ArJqJWhT/s8R1QrlyaKcRU9EoR54r40tKlS8w+LDb0gwqn5oW4C7ij0P8r9NTjPDmz4jlpd88safD8PMke2tDHZMgLsm/q76XHsyLPL/27DG1QxjoeGE1NXrlylXXENxQXEnd8xVicOsfFTUAYp0+fZsQOYshBYanL5MmTPRcX14bnEsvbK1Mz+8uzMkqWZg+VBt7qEuzxAMA1NnHixIAxPI45JnEHfcPsUFhiA5IbsrKGGMsP1ftIXiCpCVLM7VZsSJSoI50G3iCy7WNZsz8/8/AX8uTstkUyc1tVGTKyb1jCAnAxc/jwYWvPNxQXElfgvrE3pERtCYUldkBgkLoNYO2T1ASxyvAbSJaRBgOHyZC0TTJz/g45ax3N5xvZ9N5s2ZV2k9zcKvyCYiSMoBg4EBQXEldQ3GcHc1pIbIHlApH5+ef8nmeEFFChmdw8sKrsevND2XQmzzro4UyOfPz+15Lx1O+ka4X4yADFhcQVBJ87dOhYcIu0fTfxT+nSpU385dKlS9YRQpQq0nXoA5Jxbpl8vOUb61ienNmyTN4/d4MM7FQnbiJAcSFxBRlMn366tuCGlEoSW1AkCtAAkxBvSlzTQQZmfC3vf5wj+TmU38iWj5eJ9Pmt9LomtAyxSKC4kLiCnl12MOmOxA4E8XNydpht1LwQUoQSDWTgyEEi7y+TLWfyJO/4apn5vsjAwZ2lZhwVgOJC4gomR9rBCFWkzpLogbDMnetZJTz06NEz7Db8xD2ghU/kCRslpEKrm2SgwDX2pexf/E9ZUOdOuf2GyDuD47vnfeHoDetcSNxB2wp7USGKJ2M9hwKV+8BeQPnjjxdMFb+d8+cvBG0joyBQbs/jt7eV0QmTcPshmJ5IEMdavHhxgcWCGS89e/Y02yQ1QRFy69atomj9kl8w2X93hty/e5p8MvCffgorQyOUOhdHiwvmFaB4iLgbVPR26FB4KuSoUaODto/wBlXymBGP9iyhTn9MJMj9VwGK5XhjO7hixBgCtf4wkbJz5y5mm6QuKETGbJ5oLsry9k2VzB7PyLa022XS0v+WzJqRdXRA3HTAgEz3VuhrLyp0c83KyrKOErfiq0ofpn6wgUeHDh0yAuJvuJYC66Fy5cpFmlai35Y3oS742iofoP093gtmp6jI5eVdMlbEzz//bJ7jj7y8PNM48+LFS+ZnLl3KM8e8adKkSSHXls6YuXjxomlVs3NnTsFngPPt27dfzMWLOBNd0BcuXBRFu6TTsmJ0pjwkL8r6Md2kgnU0XEIVOseKC9APNJL5zcR5wAodN26MtZcP+m35Gp+6ceNGWbt2TZH4DKwDZEVVqFDRLLxozR+LWAOsKwgH+pCdPXvODPECa9asLlQE6g/M8Ye4of8YXGUQhlKlShnrxRcQDAgFLDCMB/DVnblu3XrSvHlzIyD4XQA/d+7cD/KrX/1KateubR7TOTNM805tYOkPGTIk6WshXGKhzHRxtLgAuMeSNXmNxB5fAgNQuY8CSyyQq1d/4rmtNsdxhY7xvtdcc21MrtLxfYJbDdXFEBBYBKFMboyGRo0aG5HBwK9KlSr5HBNrFxuIJc7VfoUKkcV8GszVV2vKFzrkjC33U49wZqnEi5SY52IHZtibb06Rt99+m/8oKYDO4/ZlESAWc+DAfiMq0cYTICSwRPbt+yLk8b/RoAt7KJQsWdK41EqWLOHXugFIToDQRjN3hsPCUgdYDRj5nayZLnj9UCeZukJcAK54jx49yuyxFAFuqDfeeMPvuN6GDRuZq+4BAwZK06ZNg1otcKFi1DHm7q9ZsyYmQqIt8v2NOoYA+rJC/GFPSIDo+UpGwO/E8zDFUsHclooVKxnrBS60aKwtjjl2N+rJiS72EhnZ2dmyaNGikJOsXCMuDPCnJoGsGFCuXHnjFsPi3qpVK9MZFrGWyy4r7bmaPxz13Hy7G0nnp0A8ornCh3sLVgmE4LvvvpPc3G/9ZrVBTDC2Ge5AvKbGjzSRAUF8e9wJacft27cveB4WG8SK0MMNmWT4uVCEB9bMM888Q0vGhSTjQjuS8IRrxAUwwJ+aYPHEFREKLAMFz5EF1qDBdebLjUUZ4GdxO3funLlhUYd1oOzZs9vc28f/ahZWJAFwraeBZaETKzUtGtaYXQi8wZUm3rsKJIL/wZIRcD4QDsSH7PU53iLjDRYDxGjwc/6sQwhrMv33JDLwHcOFdosWLcJO548EHQ4W7rrrKnEBuFIdPvwxBvhTFA0YBrNEsKgiyJ+enm4W6VBdBLrAh0I4BZd2IHzIHENW2+WXlzHp0LHIaoOwIXtNrSCcC9rt26dX+gKL0datW2X+/PlFhObDDz8KmvVDnEeiBEaFZcSIkWGPynCduAD4/mbMmMEAf4oCC3XWrFnm73v8eGiLO6yaFi2uN3EaLOyIhUQqDoHASOGyZfOb/al4aMFkoqr1ITJLliwpOLdQK/RhzcAFCYtLm1xi2Fi/fv3MNnEXKjB169aN2bhwO3ohH4mwAFeKC0A7BBDrNiIkeWDxe//994vM2o8UpDdrSi6sG1gscDMFKsb0Jhbpz/HCnrKN3mJt2rQx23Zw5YmaIbgdfcVitm3bHlZSAnEWEJhJkyaZzthjxoyJSa0Tfud7770nU6a8GVUIwrXioqp9yy23cLKhy4GooI+cv9iAgp5kWOxzc3PNohpJEB+Co8WHyEKLNnifbOzNK3/3uyxj9WmMJlgB6Nix45kckyKgXAPjxBFX1HqxcMGaCvcprFv8nieeeCKqCw/XigtQf6CvCm/ifEIRFQhKly5dpGXLlkXMfiykW7ZsNq0oFiz4KOBCGgzNGtMWLJpyDDeXk67s8ZkB7SQAcdmxY7usWrXSHA8FpiOnJhAHTYxp0qSp3H77QGncuEnQiye4vxDrnDnz3ajEyRtXiwtggN99qNn99NN/tI4UBovf3XffLV27dg1rYY9HrYsdWD2Kdx8we/1LOGgasR3UuezatcvaC70FTTBUqCkqqQ/E4pNPPjEXXQCiAWCxIz0e3zutl4pXka3rxQVocU+wJogk+cDaHDFihE+XVjyuqHGljwA2BAcLdqwWajeARQPZRLDqfVl+pHiAiy6NMz7zzGiPRXOH+T6AWFgo/kgJcQEM8DsffwWTiXbTwHJCgaO9SWUieozFi6ZNm5neZBkZGSYGiTqaeC4axL1gtlKs3F7BSBlxYYDf2cB92a/frdbeL0ya9Lr5mznlqlqFB6AIESCuAVcCSLTlY3fFIfMNaBEo3HC4nzz5L+Z9o1VOsJoXUryhuEQIA/zOBGY5OivYF2VUzLs9TmYXIjvaddkXwWIz4fzTI60a9UCod0H9DdqxExIIiksUqOtl7txs5u87BO8xx4gFICc/3n8f7fFlx5cYBEILJBWn1L3g3BYsWGCEBVbf73//QNQdAEjqQ3GJkunTp5tsIQb4kw+sloyMFtZe7CwWVKlrfy/7rHxYr7Ao4g2+V3oOiHEAnXoZTwGCWMLFuHTpErOP94Eq+0R0BiDuh+ISA/AholguEY3diH+8xxsjxhJuTAxX6RANuJogKqG2dNEeX3a0ZUuoIOivhNNORsXHPjUzGtHRBpaoZ9HMH9Tl9O9/m2k7Q0goUFxiAK5e77333qQO1iH5aeLDhz9q7SE4vi8ka1Kv0Ldt21qwmNrxbg6Jxfvyyy+P2djjYOh8fW/rCVlnvt6vgtgIREaD8sEEB6+DzwDtPdQiw7l37Xojg/ckbCguMUID/H/7298T8mGSosBFaS+WPHIk+JU/rJPZs2cVLKYQI+2AHK0FkCggMBAfCA9a8kN0/Fk9sEDgWqtfv74RDggKvrvebfYpKiRaKC4xhAH+5OJtuYTS4h0N87A4p+JiCuGE4Bw5csSzfTyglaM0a9bcc2tmut8SEg2JFJcS1n3KgsK8YcMelNGjRyck0EsKg+aQdhYuXGht+QetKQAmNLo5VdkXsLoaNWokrVu3loyMlkZAAwGrBgtBzZo1rSOEuIOUt1wUBviTx403di1U4xLMerF3+gWIU2BBRjYWFmM3BbC93WP+rBWcFzLpICZnzpwx8Sa7SwyuQVTiB5o+SUgw6BaLA7Baeve+Rf70pz8xwJ9gvF1joaQjw32EIHZOzg7ryC9gIUYwH3EKBPERh0nUoC5f4L2C/MD+jybDLFhmGQSzXj2MO65mPgdfgoHYC3qirV+/rpAgwU3WrVs3igwJG4pLnECQtEOHdvLpp+tTzt3idGAx2nt3QWBCSbTQFNyjR4+aRTyUVGD7tMhKlSpLxYoVzbbiXRjpDxULBS1gcnO/NdvBssIUiB5ifXgfqMzHe/EX+wv0WeDc7SOOQefOnaVt23ZMRSYhQ3GJIxrgX7hwUUgpsSQ2+GoBAyKpe8FCC9cRbnA1Xbhw3lw4JCumhveBxpHnzp0zN1gcOAYhhEssUtDJQOt0dMDZ+fM/GMHTolEIaZ8+fZJmtRF3QXGJM5MnT5bt27ebe5I4NDXcW2CwiKLpaCy+8LB07BaFt/UB1AKBGOH5SCDAc3CDMFy6dMk8T8VCwXNPnz5t7Yns2bPb2ko811+fIe3atZNSpUpJXl6eccMhSQD1M3Xq1KFlTnxCcUkAcNNg1gUD/IkFAvPiiy/6bG+PYVbDhg2Leco4rCa41eBeQ7IAYjmRjEh2GigYve22TOPig6U0ffo065F80FEZQ82aN28u1113HS11QnFJBBrgHzduPCfzJRh89lOnTvV89mOsI4XBohjpPwB+9+eff26EJJQ58uGi45CBuqqUcuXSCvqMhQKsKl/dk/G+FcRYAgkhBOaOO35rhGPTpk2en11vPVIUTqIkFJcEwQB/csGUSNQf+Vs8sZCjfQ9GtPq76oZVgtHGSN1dvnx5VBYJkgzwWgi6o3DTLhaJ+GcMBs4VLj8djQwXHqZrws1Xu3Yt8zjmoAcDnys+d46lKH5QXBIIA/zJB6nKEydOCGhh6FU3xrPCMtmxY4fMmzcvIjFR6wPDt7THlxPEI1Lg8lu48F9yxRVpHoGsZ6whWD/2MQe+GDt2vMdKzLL2SHGA4pJgGOBPPnBnLVq0SGbMmBHTeIjOkW/QIL9/l5tFxB9adIr6l759+1pH84F1uH79er9CvG3bdrZFKkZQXBIMFjZkKzHA7wxgTc6fPz/olbc36el1pF+//salhbYzqSgk3iCD7e23pxp3WbAxxxCa5557Tj75ZKV1ROTVVyeZnyPFg0SKS8r3FgsFuMMwGRH+aixsJHkgboD4CQLx4XLkyGGTCYYreVTJYzFNdVatWmWEBXUugYQFn+lbb71VSFhA/frXWFuExBZaLjawGD3wwO9dP9vdjeCzx+IXzFqpWLGSfPddrrUXGnCNYeHVQD0KEytVqmQ9GpxEzYgJB1gs8+Z9UFCxj+as9kJKJKvs3r3LI7ZbZMGCj3zGsxB7evvttxlrLEbQLZZEMDnxzTen8J8uQYQiKlgE+/fvL927dzeirxliixcv8twWy7FjR61nhkfDho1MjQjEA2JTunRpI0AoTPQHvhN64aGtZbS/WaJE6NChQ/LBB9nGnYv6lm7dupsMMnQuQHA/FHciPtOJEyfyIqqYQXFJMgjs45907Nix1hESayAQL7/8st+FEGnBgwffZUQFCyAWzmPHjvkcvIUFFpXzeM6JE1+Z50QLguNpaWnGGkAFPCwFCIgSqN0KHtPGmtrHLNwBZ3aXHlx8Z8+eM+cNKyQ3N9dYJmfPht9aBqLy+OOPs9almEJx8ZCeXiukqYXxQAP8t9xyS9h9r0hwYB2+8MILfl01WPyQcgyRyMnJkf37vzB/E2/UivC2ILD4fv31KY+AfRuXQkpftGvX3tSdoMeYP9BM84orynlE6wqPhVPeiBcIN3EhXNTyQ7uY4pDkQPxDcfGQTHEBupjRNRY78Jn6q8y3X1EjQL1gwYJC1gmsAVgzWpeC/XC6AeO1Yfns3LmzwH2UCNFJNFoIqm1f0EWAqcZEobh4SLa4kNii1qB3TzEsht4zdnTMMYQdzRgbN24S0A0VLXBBeVe9wwXlq/+ZE/DXSQDD1HgxRAJBcfFAcUktXnrpJXnjjdesvXzQQwzC4r0gjh8/ztz36NFT2rRpY7aTCeIbOnoZlo+iFpA3wdxcOO+8vEumbQta50PQFO8AO6wPCC9mwVA8SLRQXDxQXFIH1A4NHnyntZdPoNYjq1d/4rnl17lgMcV4X7RrwRx5Nw7GgnhgrosmJPgbdazjnCE6O3fmFIoz4TG0q0F7Fw4HI5FCcfFAcUkdvGfohzIgDIWQq1atLLIIwz129dU1pXr16ib2giB+uPGXeKACgsw13HSImX1ypDcQzBo1angskto+hRMpx/j5TZs2WkfyxbZjx06m6SRFhoQLxcUDxSU1QGV4v363Wnv5LqFwUrwhLigGPHjwUKEAvy/s443tre81HdgXvlKE4e7yBoPE0CI/f/tCwSTIUMcdq5BUqFDRiGI4qclIg0Zdj32WPkSmd+/fBKzKJ8QbiosHiktqgI7Hw4c/au2JLF26PKovNhZ+nS6J+g9MYAxlrn4i0DkvEDZNi461VeVt0aEep1evXrRiSEhQXDxQXFKDSZMmycsv/9lsoyX8nj17zXY8UItDXVOKuqh84cvysFtAduzWkLrksKjHM5PNHxs3bvQI9RKzjfc7aNAgCgwJCsXFA8UlNfC2XDiYLXZAFDHaGIF/WE2YSElIIBIpLuyKTOIKih7tTJ8+3doi0QKLKStriIm/IPAPlxkhToHiQuIK2rig6E9BrQvHGsQOCAwC+8Dej4yQZENxIXEFV9UjRoy09vJBzQsFJnbgM4bI/PzzT9YRQpIPxYXEHdS0YKaKHQgMXWSxAV2bEX+5dOmSdYSQ5ENxIQlhwoQJRQTm6af/KHfeeSfdOVGCztEAdTSEOAWKC0kIcN34Eph169ZKjx7dTRYLZryQ8EAQPydnh9nOyGhp7glxAhQXkjBUYNBXzBs0e8zIaGFEhpZMaEBY5s5932yjyafTRjGT4g3rXEhSgICMHj3aWC6+wHyXBx8cZlrLQ5SCoQWUWr0P0AAyN/dbs62gw7G9IWQwtOpe0UJKrcAH4U6ZjBa0g8F4Z7VYbrihjfTs2dNsExIIFlF6oLgUDwJNpVQeeeQx6dKli1x33XWmQSQEJJTGkIkGQlSmTFnTVDPS8cbB2L59uyxfvqxAIGM9lsA+XiBaMCaABbPOguLigeJSfMBCuWjRIpkxY4ZfS0a5/voMz3cjXapUqVLIotGWLbq4A7t1oZQvXz5k9xEsBHtrGHtbGRW3UBpXIk1YZ+rj/eC9h+PC8tW4Er+zb99+EYkXYlurVq0yI6AhzsE+83iB+BvcpKFYpiQ2UFw8UFyKJ6h/mT9/ftCBW+Cmm3pIt27dTaEmWtAnExUiFSCID4THX1NNLKjXXHOtEUIMAfPXnRnDyeyzXfBzaLkfibWCDtULFy4sMrQtmXTo0FHuuutua49EQ9OmTa0t/0DMMRGW4kJxKZZgWNjHH39s4jKHDh00Q7ZCAe38dXY8XGhOuSKG6Jw+fVq+/vqUadXvy5VnFxu09N+9e3chi0iHhYXTYh+CtHXrViMqM2e+G9D1mCxgffXqdYu1RyJFx3OHwhNPPCFXXnmltRc/KC7EceiY486dO3tuXUwcYPny5TJv3rywXDhICsAMfizIuKpz0phgFRxfA9HsII7TvftNxg0WChBkWDtwM3700YfWUf/ANQWXHUQ5mKvOfmVsH/ccDshwQ6IFwGv6m0ZK3A/FhTiOOXP+WXB1j0woLLB16+ZnaSFesGXLZlm2bHlIrjNvIDj4fbAC0FQTMZBEuAhAKBYMRAQBdXtGG461a9fejEC2t9WH6B4+fFgOHDgga9asCUlMAD6Du+++W2655RbHiC1JPSguxHEgfjFv3gdFFl+IggbFEZjHoqtX6ghORyI2CpprIu25du3aJv6hwoPXCNeFABHByGNktWk6tC8hAfj9eG28LjKr1HrQEcfbtm018RsIzrlz50ySAtq9LFq00DwvVCAo3bt3NynLiRJTUryhuBDHgkUaI4694w92sDjDrVOpUmWpWLGiHD161Czo+/fvlx07tsvWrVusZ0YHBKBDhw4ei+KCmXd/5ZWVPa9zxlz5X3ZZaVNbk59BdsE8H++lVKlSZhtcvHjRPAcxlZo1f20EC+8b6bp2F5O6jZAMEKol4g+4vGCdIPjPlGCSaCguxBUgYAk3EDKxMN441Nn1WNSxWMOKwPNzc3PNz6ciSGiAu69evXqOSmggxROKC3E1EAy40bQyH5lWiGco/txRECm4miA2+B2wOPbu3WM96mxatmwlJUqUMNZRWlqadOnSVQYPHmw9SogzoLiQYoe2ivHHwYMHzT1ca4jtxNJVFSqwQoBmccEagQvNHi+xz9GPdaU+IdFCcSEkApC1ZnfLwXI6deqUtRca3kVvkQTa7c0rH330sbAq/wmJJxQXQlzOkiVLZNOmjWxgSRwFW+4T4nIQvAenTp0094Q4AYoLIS6ndOnS5t5eYElIsqG4EOJytPcaan0IcQoUF0JcDJIK1q5dY7ZD6YpLSKKguBDiUiAs06dPM33ImjVrnvCJmIQEgtliJOXQwkqAwkqkCfsiUKV+jRo15PLLy1h7hQePIbaBtjPJBL3HPvgg2wgL2vEPGjSIMRfiKCguxHVAPLwbQ4baDibW6ARM7W0GAYIQxcuKQBucFStWFMzPp7AQp0JxIY4GFsjx48fl2LGjcvDgIb+THe1oM0sFnZR9oULgC+8BZSpiIFQhQ28vNIyEFVS1arWoZupDVNatW2fqWRTMu2nbth2FhTgSigtxJL4WU0XFQ0UDQ8BAMmIO2kpGxQiuNnRODiSCsDbq1cPogGpGfAJV1cP9lZOTU2CpAIwewHgAxliIk6G4EMdhb2kCdDGuVau2aXfvlit1u/sO7fi/+uq4T4vHe6YLfmb//i+KjBqgqBA3QXEhjuPVV18xgepUXEzh5oNgwNKBleOva7MC4WncuLFkZLRk3zDiKpiKTBwNsr1SCbW6EOspU6Zs0rPOCIkXtFyI44BbbOHCfxnrBSAwfs0113q+E+kmCO8WSwZxI7i4YKUgIQDxGX+xGNSp4PzULQaLZufOnILPAMCSQ3PKunV9JygQ4iQoLsSRwH302WefmRnyvuIUmgLsHdSHJZComIyKh9bS6KCyYAF9vMerr64Zklj6Cujj52++uRdFhjgaigtxPBAXjDg+cuSI36C4L3Clb8dfSnIw7MWWwYTDjj0VuUKF/BqYSMUPQgah3bx5c4E1g/Pr3fs3jMUQR0JxIa4ELiaMKsZNa1DCWfhjgYoH0Ir+eBdRwqLbsGG9rF692uzjPdx556CUSnogqQHFhaQkmpVlx7swMlRQ/Iib4oSFHOe2YMGCAjEdNuxBJgcQR0FxIcSlQEBXrVplCk1hwTz00MOs1ieOganIhLgUCAnGGiO5AXGYPXv2WI8QknwoLoS4nC5dupj7zz/fa+4JcQIUF0JcTsmSJU28pWTJUtYRQpIPxYUQl/PDDz+YAL/O0ifECVBcCHEx+UH9lWa7QYMG5p4QJ0BxIcTFIFsMVgvcYg0bNrSOEpJ8mIpMigVYgHGVHwnIynJaDQnOZd68Dwq6KrPOhTgNigtxLSoYWhxpnxaJdjH2po+xRNvK6Ghjna+fKBGyz89HfQtawNBqIU6D4kJcAdq9QEQwdAtjhsNt84JF3z76OBzCnc+vr2XvKRaLqn58BmvWrC6wVvA6AwfeTouFOBKKC3EsvjoC29HeXt4WBChfvnxcGjrCUlKhye+E/GOBxRTMWoIIoBty9erVTRdn7IdSUY8RBDt2bC80WKxHj55y/fXXsyKfOBaKC3EcWLztfbMAFmKMAq5WrVrMLIF4AQtD2/AHs7T8jXDGZ7B169YiM10wz6V9+/bshEwcD8WFOI4pU940iyssk44dO5kxv6mwmEJ0IDinTp0y274EB/EcbwsIwooxx7RUiJuguBDHMX78OHMP10+bNm3MdqqB+SwQkQ0bNvi1agDEpnv3mxhXIa6D4kIcx+rVnxSaV9K0aTOzyNrdRm4CQnL69OkCN5m/gWdwkTVq1MjEcLzdYXisbdu2Uq9ePVovxBVQXIgjQRAblefeizCu4JGJhamSOmcl1MB4PNGRxzrADCJy4cL5QkF4byCYyCjzjrcoSGjAz6OlvqKuQrrIiNOhuBBHA3HZvXuXmU0faKEGKjzAPtLYnkXmC7s44fV8FVuqaACdlQ9CqafRrDYISdWq1aRKlSphubnwftBOf/36dQVii98Jd1mLFi3MPiFOg+JCXAUC4brQY7Z9okcb+0MFpEyZsibVWAUt1laVt0UH66d//9toxRDHQXEhKQOEB2gasGKv3PeFXaDs1o8dFQ0FdSoAi3o4Vkis2LhxoyxdusRsIx4zaNAgCgxxFBQXQlwKrJfp06cZtxwsmDvu+K31CCHJh12RCXEpsJiysoYYlxziUXCZEeIUKC6EuBgIDBpXgr17OUOfOAeKCyEuB5ZLiRIlCsWZCEk2FBdCXE5eXp65oXknIU6B4kKIi0ENzMcfLzbb113HmS7EOVBcCHEpEJZZs2aZrDHEXtA6hhCnQHEhxIWgpmfy5L+Y+hzEXDA0jHUuxEmwzoUQF4EeZitWrCgYoAaLhdMoiROhuBDiAmCp7Ny5s1ATy86dO0vbtu1osRBHQnEhxKFow8rPPvusUP80VON36tTZ0dM4CaG4kAJ0Vnsi0fn3Cpo9ouljcV044fY6cOCA57t/pMD1BRBXwVybli1b0gVGXIGjxYUkFrQSwXwUJ1BcFlNYJ8ePH5djx47K7t27C7odK82aNZcGDRpwSBhxHY4VF5J4sNB5L27x5tixwtapr0mNKjRunkapIHaic/QPHjxQ5PPGuV5zzbUUFOJ6KC7EkWgA23vcL0CLebjNateuHfbgrUShkykhnmj5j/PxN3cGoonhZmjjzzgKSRUoLsTx4OoecQgEt/0t0BAczGHBzBUdf1y+fHkpV66c9YzYYrfy1PoKZXgZhPDqq2ua90kxIakMxYW4Cl3UsaD7cqH5Aq4mTIlUMG748svLWHuBsY80BqGMNQb6mkhYqFatWlymUhLiZCguxPWo4CCWgSmUsCBAsJn70QJ3FlCx0kw3igghFBdSDND4h+KdRBAMHWkM4ulqIySVoLgQQgiJOWxcSQghJOZQXAghhMQcigshhJCYQ3EhhBAScyguhBBCYg7FhRBCSMyhuBBCCIkxIv8fxR29R7k8tLUAAAAASUVORK5CYII="></p>
</div>
<div class="specification">
<p>The graph shows the variation with <em>t</em> of the magnetic flux density <em>B</em> in coil Y.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the charge stored on C<sub>1</sub> is about 0.04 mC.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the energy transferred from capacitor C<sub>1</sub>.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why the energy gained by capacitor C<sub>2</sub> differs from your answer in (b)(i).</p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The switch is closed at time<em> t </em>=<em> </em>0. Explain how the voltmeter reading varies after the switch is closed.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Determine the average emf induced across coil Y in the first 3.0 ms.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>A student makes a parallel-plate capacitor of capacitance 68 nF from aluminium foil and plastic film by inserting one sheet of plastic film between two sheets of aluminium foil.</p>
<p style="text-align: center;"><img 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GWVSQkCgoAgIAgIAoJAPCAgRCweVklqFAQEAUFAEBAEBIGERECIWEIuq0xKEBAEBAFBQBAQBOIBASFi8bBKUqMgIAgIAoKAICAIJCQCQsQSclllUoKAICAICAKCgCAQDwgIEYuHVZIaBQFBQBAQBAQBQSAhERAilpDLKpMSBAQBQUAQEAQEgXhAQIhYPKyS1CgICAKCgCAgCAgCCYmAELGEXFaZlCAgCAgCgoAgIAjEAwJCxOJhlaRGQUAQEAQEAUFAEEhIBISIJeSyyqQEAUFAEBAEBAFBIB4QECIWD6skNQoCgoAgIAgIAoJAQiIgRCwhl1UmJQgkGAKBLViY3QO9Jhegwndqe1EweSDSsxegKEBOAVQWrcbsKa9YfSBQtABDOw1EfsFe3yxiEAQEAUGgIREQItaQaMtYgoAgUDsEkrpi5IpN+HT6ILSKOEM51i+cjrmfHIg4QhwFAUFAEGhoBISINTTiMp4gIAgIAoKAICAICAIWAkLE5E9BEBAEGhYBz2NG61ix+xQUVKhzRXW0WFEwBb1It39zyNFkoKwQK2bdjF6dOiO9U3+MnvUaPik7ZM2F8g3HqEVfAhsewJAu5nHkIez++DXMHtUf6cHY1Siq5HEbFg4ZTRAQBJo2AkLEmvb6y+wFgYZHIOlknDn0NFQtfQeFTLoqNuKtpV8CVSX4YjeTqXIUrikAhp2DrFau/1VV/htzbhiFP++7GEs2lqC49B+Y2Hk7Vq8ps+bTDoOmL8G83I5A5hSs3LYW0wa1s2xleHvVdnSe9A8Ul27H1g+no/2qSZjwzEeobHg0ZERBQBBo4gi4/u/WxNGQ6QsCgkADINACaWcNRk+DdAV2l2Ij+uHcc77C8ve+gNqbUuQMyB58quu+sAAq1r+G5764FBPvvgwZKfS/sVbIyLkNE4l4VfvpiKsn3YbsDH23WVLqWbj2yu7YUrAJu2RTrFr0xEEQEASii4AQsejiKdkEAUEgAgSS0vojJ/Nzi3QdRMl7a1Ay7DqMHngSSop3oRIBVBS+gxUYhPOy2roy6p2yqozO6KBIGJtT0CH9JO7UXBZtxw45nqw5bhIhCAgCdUJAiFid4JNgQUAQqBUC6niyOz5b9gFKApXYUXwA2YN/iayzBiNNHVkexO7SEu9jycA+fPGZvH6iVrhLkCAgCMQcAkLEYm5JpCBBoCkgYB1P0i7Uzg14a2lLpHdIQdLxnXAqSvDFrq14f9luj2NJAEnH4uSefL9XU8BK5igICAKJjIAQsUReXZmbIBDDCGjStQrPT52HFRmDcWZaC6DVqThv2G68OuMJvFp0psexJE2oLbIGD0JyyFEi7ax9FcMzltIEAUFAEAhFQIhYKCaiEQQEgYZAQJGu5li35kOgZyccr/5vRPd5HY8tawrwldfTkqquJLQacBOmDVyF2+98CVvUfV0VKFr+JGbQ6yqCH/OesYOorPwxaJGGICAICAKxgoAQsVhZCalDEGhyCFg7W+hoHEFaR5ZIRlr6CUjxwySpI7JnPI/ZPdbi8lPT1HvEJqzvitHj+xkRLZB24Q3IPTQDQ7qcjusWl+inMQ0PaQoCgoAg0NgINDt8+PDhxi5CxhcEBAFBQBAQBAQBQaApIiA7Yk1x1WXOgoAgIAgIAoKAIBATCAgRi4llkCIEgdojcODAAfzxD3/Ehg0bap9EIuMOgR07dmDGo4+ivLw87mqXggUBQcBGQIiYjYW0BIG4Q+CDDz7AxUOG4NtvK3DKKafEXf1ScO0RaNu2Ldq3b48Rw4ZhzZo1tU8kkYKAINCoCMg9Yo0KvwwuCNQOAdoFeXzmTJQUF+Oee+9FZmZm7RJJVNwjUFRUhPsnT0Zaejp+c+ut6NChQ9zPSSYgCDQlBGRHrCmttsw1IRBYsXy52gXp1q0bnluwQEhYQqxq7SeRkZGBl195BX379sXAs84G/X3IRxAQBOIHAdkRi5+1kkoFAYXA2FtvxT/eWCloCAK+CBSXbve1iUEQEARiCwEhYrG1HlKNIBARAnRP0P+bPh03jRqFYcOHo2XLlhHFiVPiIUAPayxdsgRTJudj5uxZyM7JSbxJyowEgQRGQI4mE3hxZWqJi8DgwYOxeOlSbN68Wd2sL09MJu5ah5sZ3R92Y16e+jv4V+FHQsLCgSU2QSBGEZAdsRhdGClLEIgUASJhd4wfj4cefhj9+/ePNEz84hwBImFjbr4Z906eDCLm8hEEBIH4RECIWHyum1QtCDgQoOMpOZ50QNIkOrLuTWKZZZIJjoAQsQRfYJmeICAICAKCgCAgCMQuAnKPWOyujVQmCAgCgoAgIAgIAgmOgBCxBF9gmZ4gIAgIAoKAICAIxC4CQsRid22kMkFAEBAEBAFBQBBIcASEiCX4Asv0BAFBQBAQBAQBQSB2ERAiFrtrI5UJAoKAICAICAKCQIIjIEQswRdYpicICAKCgCAgCAgCsYuAELHYXRupTBAQBAQBQUAQEAQSHIEjE3x+Mj1BIGEQ+N///V/ccN31CTMfmUj9IXD/A1Nx/ciR9TeAZBYEBIGoISBELGpQSiJBoP4Q+Mebb2Lyvfdh9Njb0aZNGzVQs2bNHAOafbNtOvnpyefw4cOmq2qbOrPNjqwjyW0zF+vdNtYDFKfH1j46j7arTCqv7W/7mv6BANXuHRsIBIJz4TympAKoH+A5kASg4iydyh4IBGvh+ceifGvVP/DTTz/FYmlSkyAgCHggIETMAxRRCQKxhMCsx2fhxRdewJXXXh8kYVwfEyuWpDfbXn2OdUuO0wRHW0nHfbNt6jgP28nGuchm6t02ImHEJ+nn8GEeSxMnTayaKRuPET5e59G+RK50LI9v1qTYn0VkFf00ajb71Ca6q+bbrJnd5oJiTH5TXo6jjjwSbdu2jbHKpBxBQBDwQ0CImB8yohcEYgABImGrVq3GTWNuxVFHHaUqYkLhlmRkXV1Kd+egviIiBqkydW5yxDa3nmtivemnCRnTHrp1lcjcYbUrxYTKHW/3ad46lomdthEZszHhcUkSu2tmSdYzOVN9SsBEjUia1WdflYMLiCG59+uv8f2hQzFUkZQiCAgC1SEgRKw6hMQuCDQCAvRlzrf+5jfYXbYHl+UMUySMiAt9SHKb++4STTvbvHRsI+lFLlhnxlLbi5CwjnOyn6k3daZej09zYzJG9QBJSUkRkTFr34rQYT5lzcd/R02NZO2EBUc1+9YRpSJtjI+1K+aHF8+9MSQdR+7auQMBOZZsDPhlTEGg1ggIEas1dBIoCNQPAkTCbhkzBs2SjsSlOcPQvHlzNRCRGPqhD0uuwOybbS9fjnFLjiOCxB/SmX1usy/5sQ9LN8HiXF7S7as3qYK0KCIypmtiwqVjdR51qBg8oqTxQ8ezj1HVrM0jSrNN89RJ1f1jqjCvCTWirnzfPhxxxBGNWIEMLQgIArVBQIhYbVCTGEGgnhDYsWMHfjPmFrRt9wv8asAgNQoRHCY+LMng1TZ1bp9IS6YcmtzoCLNvtt2khvOzD9u5T3bWsa+XrjZkTOchTFTL2hXTpJXvNdPHna7dPMKWCRYTL3MnzMdGc+LaVSMGfn29Zw8OHjwYA5VICYKAIFATBISI1QQt8RUE6hEBImHDhw7DL/udiczepymixRd8ljQ8t93StPmVyTFuu0m8vPJQnNuHc3iRK7aRdNvdfW8fmqdzZ0zXbt+E7x+nCZnFoVQp7jHNvrkTZrZVfj2Iwty0cVslj4FfdCz51RelMVCJlCAICAI1RUBe6FpTxGLIP1C0AEM75WJhUQP8KziwBQuze6DX5AJURIpBbWIizR2RXwCVRcuRP6QH0jt1Rnr2AhTxA3lh4jWuA5FfsBfAQRQtyI04NkzasKYNGzYoEjb4ggvR+7SsIAkj8sHkidvhJA/i5UP3W3npSedn43wkOZZ9WbLe9GEdSz8b5eAf9mVJ93vRxhP3bamyBfXu3Lqv4/S9Y5qY6Xy8S2bn1dnY39KbhNds03pQgIGH1W1UQceSbdu1a9QaZHBBQBCoHQKyI1Y73JpeVFJXjFyxCTV6RWRtYqKJbKAIS357H1Z0egjrXs9B+wj/2ZGUkYdlpXlWJfVPcvlFrVflXo8uaekOgkFFEAFhabatAoM27rOPX5/1bslxtFvEH9KZfW6zL/l5+ZAuEr25M8VjmlLvalE9hAEtIDPpME9EWgSOjiJ1HFOn0Jhg/dQwb9Q3dvJ490vNx+UXK/eKlZfvQ/le+oeDfAQBQSDeEBAiFm8rJvXWHIFjWyMlQhJW8+R1i+AXtf7m9glo06atJwkjAkAfJjfmiKaN9azjfk1lJPE1IWQ8PuWlODf5cvfZnyWTMc0P9S4Z2bSevZxHoGzTdXrHmOOqNqUy7v1SqFs1O9rkY91HxnOyq2j41vfff4/SkpKGH1hGFAQEgaggEKOXp6jMLc6THEJZ4XLMHtVfH6vR0dqQyVhYUIRKz5kFUFEwBb068ZEaO+1FweSBSO8+BQUVAaCiAPnde2DorKVYPetm9KK8nXrg4skvobBsL4reehKju5OuM3qN+iPWl1nvJHIcM/JYuZhfsA6LJmdbNfbH6FmrUVRp7Vp4xtRTfTxdS6rjxS4XYtqGKlQtugFZQVzouLIAC4M109wXoKDIPnB1Hk26EkexS+8Io7flX33dSLRte6yDaNEF3jz64zYPT3a/H/Yh6edTnb66HFwP5Qk3jp/Nra++T3joOfMRox7axsE7h8ZA74wxz7JrNmP4NRWkU21jbkzQeL4cZ0oV1wi/6FjyZykpjTCyDCkICALRQECIWDRQjHqOACoL/4Sbcl/HEWOWYWvpdhSXbsG7k1ri1bx7MK9wfx1HrMJnTyzEus6/xful27H1wzno+9FDuKLfpZixqQ8e3LgdxRtfw11YiBsfeAM7+TQoZNT38NAjb+GYkS+gWOWZjvarJmHCMx/5kMWQBD6Kutenjhe3vYn8zGQk585HYelaTBvUFpVbXsKd2b/De8fdg3e3bUfxtrfwwHHv4fbzb8DsOuPqMx0PNZGw1atXY+SNN4fshHmRJE5BNiZBLN3kwCu+rjpzfK9c4exk84sx9W6/cH03GWNfUzp97BrYh8c2+yFtUlgfTd+cJM0kbOzX0JLeHfZdpfc/zxq6FhlPEBAEao6AELGaY9YAEeVYv3Qxvhp2LUb2TVV3xgDNkTpgBK7I3I61n+4O3ilT22KSc+/AxJyuoH9HJ6VmYtDp7YDMMZg4rj9S6a8iJQ1nnp2GqrUfYyvvcIUM1hFXT7oN2RmtlEXnOQZbCjZhly95C0niqYhOfe7U5Vj/wjP4cOAkTOV5JqWiz+0PY07uXsx9YHlEN/O7s9akT+8Iu/OOOxUJyx46Qu1kECHgD5MDU5LN7HObY/zs7BdtyeN65Q1Xi5fNrQvX18TKCwunzsxh74QRxrwTpjwUptSiD83FagRvxjd3wdjOc1YxRhzbdZKG+03Hkt9W2Lu5DTeyjCQICALRQkDuEYsWklHN0w6Dpq/Fp6hAUcHf8c5++gLfcqz/00y8vBnoOTSqg0UxWQo6pJ8ELN2OHZUBZMTaaUnFRry1dC/S7u6myWZw5s6604L66Db4Ra2HDv0IImH0ola+gDsu8MaTklSB28ZVcSz7eOndNvYJJ817p6rz4/xUi74fS0f45fDSu3V+fT0G4aFvumdiRv7Otk2s7FzOG/X1u8VC/XQurQ/Gut4rpm7eJ+Kmb1ojZ7sdDrB6sNGxZJK8xLUekJWUgkDDISA7Yg2HdQ1GCqByyyKM7p6JIXnzsH4/bS/9AufNfg75mUBJ8a46Hv0lIy39BLUbVoOiGtC1fuoL7C7Fxqow06gqwRe76+d7+ugdYfS2/KSko3D+r4dERMKYgJmSqjf7kbTDzNjT5M5pjmm22Y+TcJ+lly/ZvPSmzmx75dKkq/r7xTiPvROmd8W4BtaTH3+UzajRb1eM/FVtVqCdkzM1jNxdtgtVcizZMGDLKIJAPSEgO2L1BGyd0tJrF+5+GB8OnIV1TxmvXaAb7aGGdCYAACAASURBVIuqgJ51yt5kg5OO74RTk4GNfggkp+Hk45sDu/0caqfnF7X2zjodvzyjf5BIUTZ1MTd2wPiCznr24ZFNu2ljPftFU3rlDu4WWQN57iQZr4Bw1+OOJzvraDxuc5y7b7+agjw0uTN9vNu8k6Zx9/ax6lBp7TrIV32s3S9VIyn4lReG1I71/7uqqgr7vymv/4FkBEFAEKhXBGRHrF7hrWXyyl0oLgLSznAeoQUq92Ofb8okpHTojPo6VvMdNmJDDNTX6lScN6wdSv65GWWOe9gqsaP4KyCjMzpE+T0XRUVF6kWt553/67AkjC7sTHi4zZIg5rafjHgZ6ujoHt9dm7tP/vypLpZ92Y9zeUm9KxbMbOGjPJWSc9mx9k4cEzddmqnX+VSsuStmUT3Oac9Ir4s1oA5uwN+0G9asmfwvvAEhl6EEgXpBQP4rrhdY65jUIgyfvbIY66zXRwTKPsBT9z+CVWGO1pLS+iMncy9WLHoTW9QN9hUoWv4kZiz6so4FRSe88etriz7X3Yx+ax/B1LkfWGSsAlsW5OP2Re0wbkoOMqL4XwS9qHXI+ReASBi9qNX8MNngizvbvPTsY9q4zXHVSfavTlaXh+3h8nj5eOkoB304l5ePaQ/193p1hTOfmVu39SiheruWYB3BhpMkmzWptuVn5uTQ+pR7yspw8MCB+hxCcgsCgkADIBDFy04DVNtkhmiHAeMew9TT/4VR/bqqd3T1nvwhTsx9DDNzO/qjkJSB4Y/Nxo14Chefmob0Ttfh+W/Pw8T7z/KPaUhLo9eXhJSu1+DxFQ/jrD2/x9ld6H1p/XFn8RmYs3o+JmS1jhoaRMLuHD8Bt9w2wfG2fLpYuz+s4ws598nP1LGepTuP2feKM+1+7ZrGcS2m5DaNYebjMU2dl68ZZ7bZl+O1TY+hd8gYWw9SpXA39dxWWeiXqpWlOZYykj3YCLYoSGnZn13qW9KxJH2/pHwEAUEg/hFodjh480P8T0ZmIAjEAgL0jrCXFi3ClddejzZt2oSQESYSLKlmbpsXdNaZ9nDzM2O9/KqzV/e/gkjt5Me+pnTrue/lY9rYHggEVF63ze6H2imGPuSj27q2QIDu+dI6ffsXt/W9YJ5j0fj0JUuU03qSktsBa86HrRq98I+mbvu2EpRu24ZD33/vmXbm7FnIzsnxtIlSEBAEYgsB2RGLrfWQauIcASJhq1atViSsdWu9w+ZFqPx0PH22m5Jtbsk+fno/e039q8tDdvqYfm6dV99LZ+Zx202bbvNuln2EyPtXHMsxbj3ZeZMy1Je9KZrHsKVDp12Cu2pWt94EHUv6kTAaVN60X2/QS2JBIOoIyFOTUYdUEjZFBOgdYfn5+di0cRMuyxmOo446ykFICBN90fe6r8kkEE4/jvPD1CQP1fmaOTiOd5tMG7fZh/qmH+nNPvuTZBvHkp9bx/nYh+Pdvmafc7Pk8XVuldExDscqi1GDM16TMJ2LSKRdq+nH9Sud8lITVbtipOP3iLEfS2Wrh1/flJfjhx9+CJs5KysrrF2MgoAgEDsICBGLnbWQSuIUAfWi1tFjsP+/Fbg0e5iDhNFFmX7MD/fZxn3ycetMm1cO1kXqx/4s/eKY6Lj9WM9x3Gc/kmQjvZcP68jP9OE+x5Okj+nDY5k5bB/mRZpc6Ze+OskVx+mc7O+s1xxDtWntmMjpwez5MSkz5sykTBVfT7/2fv11WCKW1bcP2rZtW0+jS1pBQBCINgJCxKKNqOSrFQL0rq2XXnwRp5xyCrr36IGMjIxa5WnooPLyctwxfgLQLAkXX5qtvgfSrIEv/iT5x7SbbbabMaad22yPtM9+NZHmGExOKJ704fo8Bvv55WE/U7pjeBzOQX2zzbE6jmrTGvYzJVk4vz5w5N0vslBbEzPbx/bXdE7nZrtbaqvTx9RFs71zx3/CHkveOnZsNIeTXIKAIFDPCMg9YvUMsKSPDAH6F/zZv/oVdu0qw/2TJ6snRSffdx9WLF8OehcX7TrF2ofI48UXDlEk7KxfDQySBLpI8w/VzG2Wbp3Z5zmSr9fH1Jv5vHKY8ZQu0h8zziuv17juGI5jvRnDbZLs59aZejOHu81x2j9oVQ2GkMfRPvaYQW92DH4XpY09x7LkGHMAttlRes0dvlHq0LFkixYtwmY744wzwtrFKAgIArGFgDw1GVvrIdVYCBDx2rp1KzZ+9hnef/99/OONlfj1RUNw5pln4tSePdXOWcuWLRsNL/W2/JyhOGfwBejUuYsiW0lJ+t81dGGmdvACbRAz0pk/NAEvP6+JsZ8Zw36mzdZxq/aSXyjPGXiXyqvvtpk+bCPpbnPffFKRYknPOrNPbdZzPi3pqUnrqUbjicjDh0OfpmQdPz2pxzKfpNR1OvMfBj8VyU9J0oDcVjaq23i6kzGIlizasgVfflGKH33uEcseNhQzH388WsNJHkFAEGgABISINQDIMkTdESBi9p///Aefb9qEf//73/jLiy+h7xm/xMBB5yCzdya6du3aYPfFrFv3v7jx+usx4qpr0LlLmoNYmSTLq01ImHq/vhsxk2j5tTkmuMHDiqA092yCSqOhX91gKILNcISMyAp/zDbrSLoJjVvn7rv9/frq9RGexEyTLyZaTNxoHG5rMka1hRI1d14vwqV8DCIW4mPgQuPW9UPvDXtv3VocqPJ+q/PRRx+NeQvmo3///nUdSuIFAUGgAREQItaAYMtQ0UWAjiyJmNHO2co33sDxxx+PrNNPx2lZWejWrRs6dOgQ3QEBEAm7c8IEXDZ0OI477ngHqTIJlrk7Rnp3n8mUGUPFst4s3NT5tXWsGcXt6sgX+7mlTa7Y4uYVJunya9uxOp9JqMjm7tskyfZnHfl7tTmHIkZqJ4x3s5wES9vtnTb9HjG3bygxU3HhCJdVl0nEVNt6hxljUFf59Z492Pp/m1H57be+qT7b/Dkac6fYtzAxCAKCgC8CQsR8oRFDvCFAx4WbN2/Gx4WFKPzoI+zevRtDLrooag8APPfsc3h67lMYfuVVaN26TZBcmceQ3GbC5O6Tnn8IX26zdGNOev74tXUe9mJpx7GmdjI8IfMjYKaex2XCxDaWJrkyffzabkLl9CPyVbvjSV1HKBFT+V0vcw0eR/KLXElaR5Jkqw8i9vnGjdi1c4ccS/IflEhBIEEQECKWIAsp0whFgJ5o3LJlCzZ8sgFrC97Bv//5L1x17TXo27evejLzxBNPjHj3YNbjj+Mfb67CgHPORZs2bUMIFBOpSCVVa/py35yFH/Fy6s0IlcWtUOOEKMMoiHiEfpw608X092tzPkVqDPJCelNHfSZmnMvsm77cZmIW6ud9PMlx9pGkTb7cR5m2L++cOQmXw873htXDfWJ0LLnmzZUMY4ikY8mXXn0FmZmZITZRCAKCQGwjIEQsttdHqosiArV5AIBiZjz6KN57730MufgyNG/e3EGgiBSZx468A0Zlc5uJE0n+ITu3WbqnSnr2YxvrtJ61LJ27YKYve9REEslwfpx902z6cpulmYN0/EN6brM0dUyw2MZ9Jlzky22nD93kz+N4H0/acXoHzSZlHKcfFPAaQ43lt0Nm6Xl3jHyj8aFjydLt21C+d69nup+3bo2PPvnY0yZKQUAQiG0EhIjF9vpIdfWIQHUPAJx88sm4Z9Ik7NyxCxdfluMgYUy+mGxRmdxmYuUnyde0cd+cqkmiuM1S+5veShNUmH5BpTWm2Xe3/UiDU+8kFibPYD+WlN9s83ikM3/Yz9RV12ZSRn42qeK8XseTbLOlzuFP2swalK9xnxg/IenWm/eJMRnjeddFbvm/zSgtKfFNcfMtYzDpnnt87WIQBASB2EVAiFjsro1U1ggI8AMAn3yyAX956SUcdeRROKVbd3Q48UQcn5oavDeMyI7XDxM0trn7TJLYztI9VdOPbayjvnHrGPXYRdUU7FgNM85t8+oTAXF/nDqnnd1NH7825SWb+ePWcZ8JFvW5bcaZbUWIXH5ax0TNPn7kOLZT33kk6eNLdVtjhBAuPz2DQ5Oo5ef7779HwZrVvtEtk5Ox6OWX5FjSFyExCAKxjYAQsdheH6muERBQ7wgbOgxd0jPQrfup+HrPbuzauRP0RvOq7ypxyv90wy+OOx4ntG/veHKSd8SoZG4zCSIZjpSZ0+QY0nGbpdY5vIMd08eMDTrUsEEExfw4+7bNdDN9uM2Sc3GfJP+QjdpMqFhv9qlNevpw2+3n1vORo5No2eN621U1IWP47YK59WoeVKcxH1V0LX/R315J0VZ8V1npmUGOJT1hEaUgEDcIyFccxc1SSaENgQCRsGE5Oeh7xpk4pWtXtdvUpk0bdP2fbooU0XHm3q/3KFK24eOPsGvHDpya2RudOnXGCR06oG3bY9URplkrESQ3SWK7n57sXrZId8K8Y+2dMx7fLZno8Pj+fcqlSRHVxGSMxjVj3Pm98po+7niz79VmXajkmuw6zXHstra74227fyuY2QKAc/hH1M5CT0r6kTDKeMVVV9YusUQJAoJATCAgO2IxsQxSRCwgsG7dOtx4/UhcOnQ4Tu7UGUlJdKm135JPF1r64Z0tkj/++GNwx2z79m0o3vJ/yPif/0GXtHSceOJJSE09Ac2PPlrFUSx9OA9Lc+7sw36m1G321rnc9kj6nMFPehEpU2e2mYwxEaOcbGdp6nhMspk/7MM66ofubjljyM5xob6BWt+w794986zF2p0LeY2FoY/GjhgdS3743rs46PMVX3Qs+ebqVfXyzjwFrvwSBASBekdAdsTqHWIZIB4QIBJGX9497IqrcEJ7+0WwJjGieXCf5VFHHYUOJ56EE0/qiDP6n4kffvgB+7/5BmVlu/DR+n/jk4/Wo0PHjhjzm3EKBorjn3C4cH7Tx7kbZlrsthlntm0PmoPZ450jW8dxJpGyrRoDt83aFDLd1DzdfqYDj0M68qO+6W/2zTbn8NKxjSTbWZo2s23bCRjvLwA3/cO2LSA4J8uwMWGM5fv24cijjgJ8iNgJ7U8QEhYGPzEJAvGAgBCxeFglqbFeEViyeDH+3/SHcEnOUHUzPg1GF9CafNifiBnd1J96wgk4Let05Awbgf37v/HMxzHhxvH2sWsz7X5tzu83JVNv7mxRPiZGZpvzaanJi6nz8nXr3H2Od+vNvtlmf5ZsY6kfYLDvY9N+TLT0vGxfzlK9DM7WTbiCB7XV56iJx+6yXaisqPANGXH55b42MQgCgkB8ICBELD7WSaqsJwQenzkTSxYvwcXZQ9Gq1c9do2jCQxds+rBkJ3ef9aYkH7pvLJJPuHwmWfLKZcaabfKtLtbMZ/GLoIpyeZExU8/O7lg9th3PftVJd26zz22WNc1Vnb9trztps3PVrlVVVYX935T7BtNLXC++5BJfuxgEAUEgPhAQIhYf6yRVRhkBuun+6aefxso3VuKSy3JwVPOjgyPQRb4mH9PfbNckh+kbaY5I/Lym4o5josU1eBEqtnlLTVq8bfWvpfnQHFh6jehnYz3PmfteORpaR7thzZol+Q7b4aQT5VjSFx0xCALxg4AQsfhZK6k0SggQCRt9883YtbMM5w4+X9+D47HjZQ5HF2j6sDRt9dX2HiuUJJp+zrazMtNmWlhvEjImJuRHdraZbTOHu10TP47lMbjvl4P1LNmfJevNObht3I+mtMe18PIqoAYD7ikr871Jn9KMzMurQTZxFQQEgVhFwP+fW7FasdQlCNQBASZhB7//AedfOESRMLqA+n38bH56zuNlJx3/sF9tpVf+cLki8Y/ExxzDyz8MlGaoanvFhzjFoILrdstolkrHkvT9kn4fOpakL7SXjyAgCMQ/AkLE4n8NZQYRIkDvCDt34CAcPHgIp/fpGzYqUkLBF+OwyeporE0tZox/jaEE1PSNLEfkkzNz+0W5fcy+2faL99aHztPbL7y29uOHz+tlpWNJejWK36dHr55o27atn1n0goAgEEcIyNFkHC2WlFp7BIiEDc3ORuZpp6t3fNU+U3Qi3Rd1dz86o/hlMYkJtd1PF/rFaT3V6j5GDB9Rf1auhWU0R6qPnJHWR8eSB6qqfN3z5FjSFxsxCALxhoDsiMXbikm9NUaA3hFGJKzPL89A5y5dahwfSQBdtPljtknn7rNfNGTNc9t12uN76WxrZK1o5IhspPr2qjmm0a3om/Jy9T66cFn79e8fziw2QUAQiCMEhIjF0WJJqTVHgEjYhNtuR1afM9SLV2ueQSLqikBjE5tI64+VOvd+/XVYIpbVt48cS0a6qOInCMQBAnI0GQeLJCXWDgF6UetD06Zj8IVDcMwxrWqXRKIEgQZGgL5c/tD33/uOeuvYsb42MQgCgkD8ISBELP7WTCqOAIGZj83EC88/j8G/vhDHHHNMBBF1c6F7pvx2VMLZ6jaq/dVAdc1T93j/+8xi5X6y6ubIdbKszr8+7HQs2aJFi7CvrTjjjDPqY2jJKQgIAo2EgBCxRgJehq0/BGY+9hhe+/truCR7KI46quH/xGtDvGoTUzsEmTCZ93SxLrKMjUlU3BVyLSzd9rr06yNndfXQseTBgwd93bKHDUXLli197WIQBASB+EOg4a9S8YeRVBwnCNA7wm4ZPQZffPklzvrVABx5ZO3/vOk7F43776OOAF3k/XbQ3INFWouZ04wx9XZub/LlRz789Ha+6luR5HD7mH2zXf1opof3XE2PSNq1Hz+S7FDvDdu1c4fvbhi9O0y+WzIyLMVLEIgnBORm/XhaLanVFwEiYTePGoX9FRU48+xf1YiEhbvAhrNRMX52Lz3p+Md3IhEavPKHC43E3+1jfgG4V263P/lUF2Pm8Yo37bHa5rpZRqvO8n37cMQRR/im+/7779G7d29fuxgEAUEgPhEQIhaf6yZVGwjQO8JGDBuGb7+tRK/M3gYJ0zshfMFkksB9I4Vq+unJyDa3dOeIZp/Hqi6n6edsOyNNm9Niz4/1jBX3WYbLwT41kZSPf9xxfmP56UPj3Zr66XM9blnT0b7es0eOJWsKmvgLAgmAgBCxBFjEpjwFImE5l12GY37eGqf2ylRQ8AWxtrjUNL6m/tXVFT5fzY7Z3ISKcnv9mDV5xZj20HZoTeHnEJqhNhoew0+aOd0+bLP1rImidAMZJjV9ndFXX5Tixx9+8PSiY8nrR470tIlSEBAE4hsBIWLxvX5NuvoNGzYoEkYErEtaeh2xCCUT/MZ5vli7B/DSu3XuvjtHpH2va7qZ269N+b1i/cZ1+/rlNfWcyx2rx/bClSMik+ZYZjuS6Nr767prGh9JTV4+dCz589atvUxK1/zoo5GZqf+h4eskBkFAEIhLBISIxeWySdHr1q5F3nXXo0fPTKSe0D4CQJwXVr7AsuQE7j7rSUZqc/tR363zyheJj66nenLjzkUkyYso8fy87O4c7OuU1ddC/pHl0n6R+Lp9uM+SSXRtanXG6B7nDc7WApP1XjE10ZWX78N3333nG3LVNVf72sQgCAgC8Y2AELH4Xr8mWf3KlSsx/rbb1ZORqSec4MCAL4y2dJgj7tjxwUuvivXTk5Ft7rY5KPnwj6l3t81cbPMiUqaf2aYYd1/rSB/6w2OwdMeafbPN/qaszk6+5OP28+qbOrNtjldd2x3Hfbf0Jm/VZdf24F9JLQgaHUuWlpT4Hku2TE7GhUOGRFaIeAkCgkDcIVD75/vjbqpScCIg8NiMx/DCwoU4a8BA/CwlRV3M1Wsg6AIY8fsm6LKpv7iaYumCrCWn0PZI8eJ4t7+f3u1n9iOPsWs0Y8w25aU+fSJ/VYb2d9fEfc6n+7avNQy7Ken0dZiCHfLx8nPr3H1KwDqWnJT7LLWvtpo69ndLngv7snT7RdKPJHbP7t3qb/m7ykrPlM2bN5djSU9kRCkIJAYCsiOWGOvYJGZBJGzF8uUYcM656sJV3aT5IuiW1cWx3e+C7JWPdRRrtr36nL86G/uZ+bgmbTOJkHfbzEF5zFyR2kw/bpvSrMkvv+lflzbnZ+mXy67JxsX0teO13e6bXq62lZR9g5ntwVwBkXXp3WF+JIwyXHHVlZElEi9BQBCISwRkRywul61pFU3vCLv1lt+guLgYWX364qjmzRUAdEF07mhV/5JUumbSxhnHMpLcd0t9XGW/hZ7t7jjqmzazzTaSXC/Hh9upMnOYbY51S9OH2vTxys82d7zZd/u4+9Ud44X629nJ5razztSzjiPZxpL03HZLjvHyMW3udrg8bl93PxhrGbjv9jP79G6wr3fvNlWONh1LDhs+3KGTjiAgCCQWArIjlljrmXCzIRI26sab8OVX/8Fpp/dR7wiL5AJn+1S/4xGJr+1jQ1ydjuxePnYG75YZY7bZ27kBE9yXUWa3P/XdOs7jJb38Q+PtMc1aQv1sohTpWOTnrsHdd+ficVkySbT77gjdZzvPgfte3mzzk14xkejoacmUVv5fSH/cccchIyMjklTiIwgIAnGKgBCxOF24plA2vSOMSNi+feXomZmJI4yvLOILIj8KyNQgqPcEyEnKwvvaJMLtZ/a5zZKH9eqTzk/PcSzdfqQ3dUwetD/P3uqFGYdr8JM8PktzTPdYZg2mn9nmPCxra6N4M5bbLN35Wc/STc5sPUeasmZ/J2ZtwbwmOGZqV3t32S5UVlS4tHb3yquvsjvSEgQEgYREQIhYQi5r/E9Kvaj10svUVxZ17daNrsJqUk7K4T1Pvhja0svP+2JrXz/ZrmPtXKy3KzFt3KYoapt9s4pwNtOP87DOzGfXqrxoRHZTsiZjOAI9a6fcdn5zbGdNpo/dNvNzXRzHfS8f1rEv9bntL4NRqsG1uv3NXDw3ty9nUr7csZyC+VhfQ0nHkvu/KfeNope4XnzJJb52MQgCgkBiICBELDHWMaFmUVRUhOxLL0NaxineL2rlC6E1a74gMlkzwWCbW5IP69if+25pX6Q1sWC7Vw4vHfuT5LY5ppfenceMc7Y5E8tQ8sP5zTj2Zmn6hPo5czJZoVjT16/tHoP7XpLrYJtXn20kzTFNPbfZzpL1WjrX08snqOO/OXPyzmRUjNJwDEu3G/d37vgPmjXz/19wh5NORIcOHdhdpCAgCCQoAv7/F0jQCcu0YhsBelHrkPMvUASs3S9+oYplGuB1YWOdWzpn6b5AOq3U43g/0mXbdazZ5zZJbnNOs8+jso6lW899zsF909/ZZg+WNF9GjXVaUpzXj9OLe6F5TB5i1sARkUgen3y57c5l9tnH9Oc2j2f722vt1rGvGWvOh+12nNa4+yredlYtLx928ZN7yspw8MABPzNGXH65r00MgoAgkDgICBFLnLWM+5kQCbt93G341Tnn4hfHHeeYD1/o3NJ0YuoRzocJipePreOsfFHXfdvOeh7RJHI2uQhmMQga5eAfsnObc3NMJNKMIUIRSiqoPv6JJKOqyDPGnd8cW0UZg7ttbCe9l40rYzv7cN+0u9tevqzT43KEvUZsZ6n9eC21NG2cgXVuyXaVx+qwj2kz21VVVThwoMpUOdp0LClEzAGJdASBhEVAXl+RsEsbXxN7bMYMLHr+BZzWpy+Sk5Pt4ukC73pRK10q6YUSdLFTr2fw8gl5tYWdJhinSIr9QlcalG1uqQmN7Ut2+vDrKPg1Eaae87GfCgjzyx3LrlwL9d0+pk3bdZQLMotcccbIpcGvgkFcAyvMvtn2spOOfUjyD/uadtaxv9vGepa0Rna9TtLHPiyZkOsxmHxZPTuJXatdDLeCknOyNIoI+rgbdJN+UtIRbnWw36NXT7Rt2zbYl4YgIAgkLgKyI5a4axs3MyMStmzpMvQ5o5+DhPGFjaXXBU5fQu2Lu6ePdWEN5lFkQMPj1AWzKSPb3JKMbh31Wcd2vz77sp37uiI7N/c5n1/fHa/9KY8ZUbM2xbrj3eN49d2jkA992LeufTOXOZZfXk3OnECwL+fykqaOgfCM4yLcYLHeR9Kx5IEq/x2xvLw8n0hRCwKCQKIhIDtiibaicTQfekfYpLsn4aP169EzszeOOMJ/h4AupX67YHSBNHemuE9Q2G2dwe7bNm8d76BxnO6TL33M8Zzj6LzswzaS/OHdM+6T5LzUdudmP7NOjjFzcQ6njqNt6d4ti4RDcG7OUl2f62NJ/u4YzhXOx4xxt7lvS86o14jnRXbbR9v0mNqfbc5dMreNcxtePIBt8hzHMKvmtxUV+OGHH9xqR79f//6OvnQEAUEgcREQIpa4axvTMyMSdhO9qPWLL8KSMLpImsSCJsU6luZENW2yfZz+Nrmia6jOqyPMXNw2JeXRb+TnOD0q+WibPrbkNknTppyMX2wz/d0xPL4RFpKT85gYeemcOcyef5vzmB5unbtv+lKb7G4f1rGeJcd62dmHbaavbut1MP14fC9f9mNaZXIqtrE087COpcNmDWTaeGxTlu3aFZaIZfXtI8eSJmDSFgQSHAE5mkzwBY7F6dE7woiE7f16LzJPywq7E6bqt66S5gVOX3ZtskPHR0G7l7+nTqNDcRzLUh9pcX6+yNv+1DLjuK89bBvnY1+W7O/um3puc05Tcl7WmXncOi8b+5iS/ViaNmqT3vy4+2zjeNPObbfN7LMPj+Xuu/ObflQa+7O0SZZdN9u8/b1ycBYFgCqBc/D4puRjTOXo84teW3Ho++99rIAcS/pCIwZBICERkB2xhFzW2J0UkbChl2WjdZu2yOjatdpC6aJHuz0s1YWOz9boako269iSkrEfS1OnL6mciyzc1t8lyTEkldUYl20mQeNdKLc/x6okrppYxz4ca/Z5vm6dGUttjuU6/HQcx/7cj0R6xXjpOBfbTOlue/XdOjNfOJv20+ul/TSptpYwiBHZzDxmfs7BdofNSsQ2m9KFJ2icwy2/KS+v9h8e55x7rjtM+oKAIJDACAgRS+DFjbWpEQmjF7V2SUsPeT1FuFrpIqjIiUW4+KLIhMWUlIeJGccpHedQV1IXubOetmNCjiqAbwAAIABJREFUY8fpTLrPxKeZ40vDuRYag+twt6lPH7bzOJZaCc5j+njpzBhum35uHfW9xmM/L8n5amvjeJJm2yufqWN/lmQz2+6+aaM221VDranW6T7/Nv24bUX41BuaWxWmgoI2Tm8QZEMVbO79+mv89NNPwb67kT1sKFq2bOlWS18QEAQSGAE5mkzgxY2lqdE7wgaedXaNSVhwDiEXWntHgi+GkR5PUk6OobR2O5Q4uO26Ht514Qu5UzrzO33ZRmOa45p6brN0+5He62PmNO2sj1SasdQ249w27pOP29fUmTazzblVsDEW+3jpnTbCkdeQa9BRZm5n29tujqXatEa20lJ5r5vtFoxglUPu2rnD9yWuLZNbyrvDHGhJRxBoGgjIjljTWOdGnSW/qPXMXw3AMa1a1boWupiq3R268tbhePLwYb2rxceMeseILqD6iJIL1ONRj48w+YJv74opq3WEyXGmdO9wcT+cj5nTy5/tZg6zTXXzR8+Ne5FLM0e4KPaLRJo+1OYfym+2zb5fDPvbJMzMYZMlzqXnYOptjJjS81jOGF5z9uJMWjruCTNwt6wO8fWePWGPJQ9UHUDv3r0dMdIRBASBxEdAiFjir3GjznDevHmY+8Sc0Be11qAqvkAqUmLRJYcueOx4WFMp474xtx8Na5Ib3da8zt+XouzjTJ2DLtB6Eu58ypuNrvF0rCZ2OtqZw52LazLj3D5mHnfbjHfb6trn3KbkNuWmNvdNyfpIdJzHlHZbL4DOw8SOrKFj22MZxErVZ/uHxFl5WB+U1toGc3r46azO30TEDh486FQaPTmWNMCQpiDQhBAQItaEFruhp8ovag15W35tC6ELoHEDPaWhS7Hj/WLWRZHIijqqtIiQ8uUdtWCUnYEuqnqTjXe/tGQ97aJxW++QUSl6dK23b/inrEyWVB3GhZps9GG71Q2rIyON4f6YOXgct0999LkWP0ljks3LznrT5qXjur1sdizjYo9FfxFs5zp0LlPv1+ZR1QRUR+VyES8zr/dYRh6rSfeFffVFaajB0shXGvlCIwZBIOERECKW8Evc8BOkd4T9/uHfY83q1WHfEVaTyuiCx8RDkQ660DPJYoJGCQ0/YlZ+JE1fW+2cRK40d7MJD49Hac02H1I5daGzMe1mmz39dHoadh2h43MGLc081K6PjxfhYB1LHpf6/OOlY3/2YUm+3PaSpp0JF/nZetUM5rD17MPEjcepzp/jnPeKBVfGGDu4PapThvwu37cPP2/dGv/dvz/ERormRx+N/vISV09sRCkIJDoCQsQSfYUbeH6Rvqi1NmXRRVeRDiJGVoKgzrooKiLiRdKsWArTMdRy73LpXTFKxYSG8+sLv/PeMn2vGZEOpz/PTdVq1aVG87iXzO3DfiRpbPNj1mTque3Oxf5sr6l0j899lpTPq006t551rDf7Xjqulf14LO2rMbfbus/kzIzVbbMev7YxF+vvR8Uaa+CuU9XEg7mwMNSqWV6+D999951bHexfdc3VwbY0BAFBoGkhIESsaa13vc62vLwc48aOC76otV4G06xHkykagO8HY301JI0vppq0UALnrpiz79wJs0471bTs3TMiZ/bF3SRDNJbZ1+Vq8qeSWL/cPmwLpycfngv7R1u683OfJY/H/XCSbKad+146nhv7mH1Ntuy5e/mwjqWOd8fo6p0+oTWqWAPrIDU25qOOwA3CpjPbv+lYsrSkxFa4Wi2Tk3HhkCEurXQFAUGgqSAgRKyprHQ9z7OmL2qtTTl00QySE+PYkXKxPii1Uh9fMkmrZldMu6nDTM9dLp2bEvPlmKWO4TmRn/KyLs5ck2mnuZgf04fnSXZ3LncM9d25TB+vNudkW7h402a2zXFZz5Jt3CfpbvvpzFivGNOuSRnlVlo1BsewH/tQ379tYOjaDeN8Slprxjp7DCNeD+T4vWf3bvwsJQXfVVY69Nxp3rw5MjMzuStSEBAEmhgCQsSa2ILXx3T5Ra0dT+6EE9q3r48hgjnpIqhoTpib9s17wyjQJDmhbfLQpEjbdN/e8XKSIa13HlHqMehiTC3vjzkuebj7fjrO5uVv2qhtEgS2RSL94qrTs52lWQPpWG9K1nvpON70MduaSPE8dX6ThPFcOcbOxzFa8jqF+ukFdOgNXMlKtmBea0DWWd0QQe8O8yNh5HzFVVeGxIhCEBAEmg4C8kLXprPW9TJT80Wt9U3CaAJ80WPpOBZyX/z5oqkD1fw5jqRu846KclI694WafVnyzoodzzmYHBgXa2sc7ctEgMd29u38/nrGgH3dUk3S+uW2cT8QCFjzPAyzzXaWkeQiX/5wnFuSvTpddT7eJExRI0duMw8TbF2jjTmvn1m3atNa2UqVl/Mxy1a5+O+KpDF/DjXl999/j6937zZVjjYdSw4bPtyhk44gIAg0LQRkR6xprXdUZ8svav1l/zPRpm3bqOYOl4wuhmqHiJy4TRdE87jSbHvsQJk7TM42JbVv4tdpnUeNujb7ONLePeP7xaAITlJSUvBizvMxx1IjedzAb+p5rqTjNuXgvmr4/GI/L7MiFF4GQ2f6+LXJnWxs95Kmzt326rt1Jgkjm/2ji+U+12JpLT+nj+ZOdg6OCR1T07ig3ppn0F+nDdZidUMEPS2Z0qoVKisqQmykOO6445CRkeFpE6UgIAg0DQSEiDWNdY76LBcvXozpDzxYpxe11qkoa/dCkQ2fNl1Eg8eYRK9MP4PY6Au9JlY2UXL37eNETXDoYq599Dx4L8UmY2p8D6Jlj6Ejuc/+jIseRxMd1pE0/TjWtHPb9GNdpJJizY9fn/VuSbGk4x/us3TruU/S9HGTMN2nvMpL5VcBrvF0PsaOc+oYzm9KShicsVV30G5iYdRX3W4Yxe8u2+VLwsh+5dVXkZCPICAINGEEhIg14cWv7dTpRa1/efnlRiNhfLFWJIQmEeGumGPHzLVLpjeZnDth+t1ifNHXaJnEh+8XI3Kgn5xkRDUZo2M/2hUzY4IeERA0mifFesVzHpbkQx/GhvWcg/uRSHcOM4ZtfpJ8yWbazbaf3Svm8GE6QjXzMbFTWYLjcCxLWg8exyZupON4227HmOPoDGTTI4XalMEDb9aTpGPJ/d+UmypHm17ievEllzh00hEEBIGmh4AQsaa35rWeMb0j7Km5c7Fs6TL0+WW/sN+bV+tBahJo7WIoEuLTposp71uF+IVcSNlTnXKGHFFSaW5SxGRMjaNf5m/NIHIypmM1keL8po4hYRv3SbIfS7apuVodstX2Y8Z6tf10rDcltblP9XCfpVPnTcICASehcuezyZaeMedmCLjPeKh4629H6Ywa2cZ1qV0zO5FjLpzPlDt3/AfNmvnfhtvhpBPRoUMHM0TagoAg0AQRECLWBBe9NlPmF7V+UVoatbfl16YOjlEXSSZGpHTvivEFVTMlm0DRDhPbON6K1RdxTcZs0sN9NYSD+HAtNEQgACQlaQLH12reUaOdMcrH5Ihq5z5Lno+d037fGPt72VhH0vQz26YPt81aWOeWZk1+bYphG0mzzflYb9rCtf13wrxJGOc3SZjOzztgqspgbVxzsAaDFGpPY07u+bn6PEcvuaesDAcPHPAyKd2Iyy/3tYlBEBAEmg4CQsSazlrXeqZMwvZ+vRe9s06vdZ56CaSLv0Wo1I6FNQgRDb7QKtJh+ZHZtLn73jtcTMacOTm/zqGJmrvNZMwmZ6HjmzVQTiZJ7jrZxtKMozZ9TJvZtsxBQbZwH7fd3adY1pE025zXS886lpzH7lMunZt0Nrly6rXN9rP7XJddkzOHnndwPAsHFW/Nw8/GtTp2xniyLllVVYUDB6pcWrsr3y1pYyEtQaCpIyBErKn/BVQzf3pH2LCcHPz8522Q0bVrNd4Na+aLryIsNDSRGJJEwkjQRdZqe9mUDzEvg1TocJNwqbSUzXUfmDehUsl0CYpQ6H7ksSb5ovlR39Rxfi9JfvRhXMw227ziTJ0Za+rNXGab/VmyjfteknSm3u47yZaTQKnMKs4/lvNqqfNSnMbEHacIlYGX8tfuatEVDTSImqZwzlzs7pZ0k35S0hFudbDfo1dPtG3AJ42DA0tDEBAEYg4B/xsYYq5UKaihEeAXtXY4sWPMkTAHFryTYSn1BVhfNrntvoiqPseZF1vVDiUElFpfyM2LvGsMI1+or8oQJBLarnPS0aX5Pi8ei2tnm6lnHUvyNducn2Low7mqk5Z72BgehyWP5ZXbHDucvyZddp1eJIzjzZx6bF4TZTHm6uybcdpijEdrZ+Dk8DX+Pgx2TS6+n91lZThQ5b8jlpeX5xsbDUOgaAGGdsrFwqKD0Uhn5Qigsmg1Zk95BUUBrdLjDER+wd46jEN5lyN/SA+kd+qM9OynsOLZXKR3n4KCigAQ2IKF2VkYumALrGHrMJaECgKxh4DsiMXemtS5IvrOx5YtW6qf2iYrKSnBlSMuVzfkH3PMMaj89tvappI4QaDJIfDfb74JO+d+/fuHtcemsRzrF07H3M9uwMVWgUkZeVhWWkdSGSjCkt/ehxWdHsK613PQXm0PjEX2TdYgwr5i889BqooaAkLEogZlbCSi+7l+mXU6rrr2Gkx/6KFaF3Wg6gBO7twFOcPkrd+1BlECmywC761b6zv3rL595FjSC51jWyNFzmi8kBFdgiMgRCzBFnjpkiVqRiXFxfjggw/Qv5b/8j66xdFISUmRx+sT7O9DptP4CNTtWHIvCiYPx6jPrsa8e4GXbngEb9MJaLdrMfWhcbgmKxXeXOYQygrfwF+efgRz15RpELpdi/xJIzF8UAZSlKYCRQVL8fwjM/DyZkqajK65EzFx5DAMyjikx130JYAHMKTLfFy9YAke6PAahp8/H6cuWIJpg9qpLIGyf+OludMxddGnAFJx7vgHMfHm85DhwbLoaHP4+Q/gM4rccAOyFnXE1QtexPWl92DIo2mY9+EUDNLF6ZoRQEXBAzg7bytunH0l8BrPpxeunjYZY7Nb4/NnH8WEJ9agisa+83E8OK4/Ur1BsXKKEAQaFwH582xc/KM6elFREZ6dN0/lvOfee3Hf734H2iGTjyAgCMQOAuece27di9nwCG5/Bhj99hYUl27AyjFH4OVhYzGncL9H7gAqC/+Em3JfxxFjlmFr6XYUl27Bu5Na4tW8ezBPxZDPQky49Z9In/0Bisln22pMPGIZRv12KYoC7TBo+hLMy+0IZE7Bym1rg8TLHDCwcznGnZuHl3EDVm4sQfHGeThr0/0YPvFv2OlxxKiONre9ifzMZCTnzkdhqXdecwzd/hBz//QxOk/6h57Lgl+iMP8KnN3vUWw6exo+KS3BJ/8YC/zxTjz4ty/l3rJQAEUTQwjEBxGrLMLbsx7BIr7xVN282QO9JhfA+xvcCOGDKFpg3PBZLeg19a82YYM73D95Mu6dPFmNm5mZiSEXXYS5Tz7Z4HXIgIKAIOCNwEWXXlKnezeDWZNzMO3BG9EntTmAVsjIuQ0Tc/fiuaWfePw/sRzrly7GV8Ouxci+vGPWHKkDRuCKzO1Y++luBHAIuz79J7ZknIEzM1rpYZLaY9ADK1C8Ig8ZEV0pDqJk1WKswghMvPsyvQOW0g1Dcy8AVi7G6pJoPjjQEVdPug3ZqtbmSM06C1nJyeh5928xVs0xCSkZfXFWRgXeXb8NlUHgpCEIxB4CcXA0GUDF+kWY8EQJ7qrRt4G0QEbeIhTX8T7S2Fsy74pWLF+Otscei8GDBwcdxt12Gy4eMgQ5Q4fKFwsHUZGGINA4CLRMbomrr7kmOoNnZKK7ImGcLgUd0k9C1aPvoPDuARjAaiVpN2stPgUdPf4d7+z/CUA51v9pJl7eDPQcSk7NcUKvM9B16nw8/7cMnIef0GHw2Z7HiY7UZifwBd5f9jGQMRgdgseQSWg16AF8Wmo6SlsQEARMBCL6d44ZIO3YROCuCXfg3vvucxRHT07SDtnCBQsceukIAoJAwyNAD8D07t27fgeuKsEXuw+5xgigcssijO6eiSF587B+P50R/gLnzX4O+ZlASfEuVCIJKVlj8crqaeizfyVmTBiJIaemIX3IZCwsKIrBHaWTkN7BcfOYa87SFQTiB4EY3xHjGzOfB906Ou38bpiZOx/vPniCRrjsY6ya9SIeVDdmAsmD78TsSSNxrtqupqPGUfYNn62Ic9INq4vx1H0P6ZtRkwdj3JN3Y9R5fLOqa+EqN2HhhFGYiZF4bvqN6JP8PvL7jcXG387BfUe9gyn5L2IL3dLqGFfncN6wat70am37q3+d+t0YSz70bp11WLJwFqapm171DbnOm2vteumeDq8P7ZCZu2RePqITBASByBAYfcPIyBx9vHp26+5jqV7t99+4IzI5DScf3xzYbWjp9RB3P4wPB87Cuqf49RAAKgqQX1QF9GRfOs4bgGz6yZuOQFkh/v7yH5CfNwrF6mZ89hMpCAgC0UQgxokYbWtPwbsLgLPzSnDX6nkYmdFCveCPQKhaU4ANlzyK90ufQUpgJwoe+A1G3Q68+texyAr5x9Ih7Fw+CRdO2Ibs2UvxSU4GsOUl3Dn0etz9/17B3JzjnLgGSdhY/HX2NehKW+3qhrQqfPbgHKyY/SheKZ3uMW4S1A2rgx/Bj7c8jne30RM7FdiyYBIuz96AaWseQXb7I60bYz/HFcs+QHHXVgDX/1tg5bI8ZFR9hHm3T8HnVz6NT0p7IIVIZMEM3JT3AMA4OCuWniAgCNQzAn+evzCiEdyEjb7SaN6C+bV+ijlk0KLt2FEZQIb6ByZZK7Gj+CskDxuFLNKZRKxyF4qLgLSh3RxPDwYq92NfSGJbkZSaheybrsX6Z8ZiY+k+BHCsbfRqJZ2MM4eeBjzqrE0/GTkDmLoUS/K6+jzV6ZVQdIJA00Agro8mk3PvwMScrvrR66T2GJA7FD03/xOf7XJvzdMG03asnr8KCMYkIaXrhbhmWHOsmv82Sswneio3WjthBgkz/h6c46Yi65zeSA6Ouxfrnp6FVRljMDH42HQrdM2bhjnDCpH/9PuoiODG2MCuTVi7+SScdVaa9Wh5c6QOug+vly7SZNSoR5qCgCAQ2wg0P/ro6JEwmmrVYsx49G8oqqT/cdE/9PJx+9IsTLv1TPCeexCRVqfivGHt8Nkri7GuTP+/MVD2AZ66/xGsCr7833pYacgUrCjiR6AqUPT2OyjEBci7oDMdXqr70HTeg6is/DE4hG60QNqFNyD35L9jxsx3UEalBXZi3aJl+KzbLcgfkSEkzIWYdAUBQiCuiZj3En6F4h2hz8gESj7A8g1AWvoJFrGhaH0Tq/OpoC/x1px8TFuThrsmjdA7Yd4DWdokpHTojDRY41ZsxFtLv0Ryz0443oGudTPt0ndQWHGkvjF2A90Y+x4Klq+z/odqD5R0Qg8M7PYxZi58A+sL3kBB8H+Oto+0BAFBID4QGDZiRHQL7TYUV2Rtx4xfpiG9UyYuf7c7Zq94ANnt6SlK96cdBox7DFNP/xdG9euqvkao9+QPcWLuY5hJr6NQnxbIuP4xvDqmNV7PztRfNdQpE8Nfa43RiybhUpXXIlqHZmBIl9Nx3eKSkNdCJKWeh/vn/wlX/zQHZ3fpjPQu52PGT1fi1fljkBW8gd9dn/QFgaaNQIwfTTbC4lQV4OUNObh68IeY+fibON+8p6IG5VQtopcTegQkpyn+q2+MzcRb763EjKn6XjN6KWPwHrCUvpjw1+XoveZ/seIRerqJ/unaC1dPvQPXjxhQs6eZPMoQlSAgCDQMAi2Tk3FZ9mXRHax5Os7MycPIYXd45nV/9VBSal/kTl+B3Oku90Frkc2qpFRk5dyBP+d45yQ3IlpTV27CVI5B15CvOPIdKxjjaiR1xcgVm2Dffed+4p3shUG751OYrQZh2uebnIlD8jrN0hMEYgUBIWLulUi+HvNemYIBu5/HxvMfwfS/ZWFuTscabh0mo2cE90OEvzG2HZCSgUE59HMjpgXKUPi3l/HHe2/A8OL5eHf6oNAjCPdcpC8ICAKNjkDz5s1B7/WTjyAgCAgCXgg4Ds+8HBJFl5TWHznBR7V5VtZ9EZ1ysZBfFmuZkjJykD++PVbd+yzWVZg3kHGsj7Tuxyj552Z9j0TQbT8KZw1HevYCFHmk4xtjs5P3WjfGBgN1Q/1r9TpcM6wjqj4rxW6PHK4I6QoCgkAMIHDFVVfGQBVSgiAgCMQqAnFAxPgeLIIwgKrKqpD7EiICN6kzfn3HNThp0Sw8XrBT5QiUvYcXX/kcXcePx3B6GtPxaY2sm+/BOLrx9NmPavAenXYYcOsdOHvtI5g69wOLjFWgaPks5D8BjJuSg4yk6m+MRdECDO2UjfzlW6yx6XUW7+Ktj4ALbjgXaXGwcg44pSMINEEE6Fhy2PDhUZy5132tUUwvqQQBQaDBEYiLy3lS2gUYP/JbTDu/B3pd+6rzCceIIaOnDifi2aVX4qdHzscpnTrjlH5z8NM1f8Kz4/saN/AbCVMyccWYgfjqid9b38dm2MI0k9pfhkdXPIyz9vxe37DKN70ufQq3Z7UGUP2NsUkZ1+APS2/Asa/loXenzkjvlIbe2a/j2DGzcP9loUel9GZ9r095ebn68m8vm+gEAUGgfhGgb7vIyMio30EkuyAgCMQ1As0OHz58OK5nIMUrBMbeeisuuOACZOfkqCee+OWPk++7D926dcO1ubk1Qoq+QHz6tIcw8oYbaxQnzoKAIADwe8Tu/t09GD1mjEAiCAgCgoAvAnGxI+ZbvRiCCNDXG9HXHO3YsSOo++CDD1BSXBzlo5FgemkIAoJAGAToJa4XX1KjL8gNk01MgoAgkKgIyFOTCbKyHTp0wMzZs/CHp59WMzpw4ADu+93vMOuJJ0DfOSkfQUAQaFgEOpx0Iui/S/kIAoKAIBAOAdkRC4dOnNku+PWv1Q4YlT33yScx5KKL5LH5OFtDKTdxEBhx+eWJMxmZiSAgCNQbAkLE6g3ahk9MO18PTtdvbFz5xhsYd9ttDV+EjCgICAIKATmWlD8EQUAQiAQBOZqMBKU48qEntOiI8rjjj6/zkeT/fb4JC+c/F0ezl1ITGYH//ve/OLp5c7SI8aP2yspv1TLIsWQi/zXK3ASB6CEgT01GD8uEy0RPTspHEIgVBD75+GM8MWs2fj/jURx//PGxUpZnHSeeeGKd/yHkmViUgoAgkHAICBFLuCWVCQkCiYsAPQlMD6G88OKLciN84i6zzEwQaFIIyD1iTWq5ZbKCQHwj0L9/fzz08MO47tprHa9qie9ZSfWCgCDQlBEQItaUV1/mLgjEIQJCxuJw0aRkQUAQ8EVAiJgvNGIQBASBWEVAyFisrozUJQgIAjVFQIhYTRETf0FAEIgJBISMxcQySBGCgCBQRwSEiNURQAkXBASBxkNAyFjjYS8jCwKCQHQQECIWHRwliyAgCDQSAkLGGgl4GVYQEASigoAQsajAKEkEAUGgMREQMtaY6MvYgoAgUBcEhIjVBT2JFQQEgZhBQMhYzCyFFCIICAI1QECIWA3AEldBQBCIbQSEjMX2+kh1goAgEIqAELFQTEQjCAgCcYyAkLE4XjwpXRBogggIEWuCiy5TFgQSHQEhY4m+wjI/QSBxEBAiljhrKTMRBAQBAwEhYwYY0hQEBIGYRUCIWMwujRQmCAgCdUVAyFhdEZR4QUAQqG8EhIjVN8KSXxAQBBoVASFjjQq/DC4ICALVICBErBqAxCwICALxj4CQsfhfQ5mBIJCoCAgRS9SVlXkJAoKAA4H6IGOBogUY2ikXC4sOOsaql05gCxZm90CvyQWoiHSA2sREmjsivwAqi5Yjf0gPpHfqjPTsBSgKVB+ocR2I/IK9AA6iaEFuxLHVZxcPQSC2EDgytsqRagQBQUAQqD8ETDL2wosvokOHDvU3WLQzJ3XFyBWbMLImeWsTU5P81fkGirDkt/dhRaeHsO71HLSP8J/+SRl5WFaaZ2VvAJJb3TzELgjUIwIR/mdRjxVIakFAEBAEGhABk4zt2LGjAUduwkMd2xopcrVpwn8AMvVwCMh/GuHQEZsgIAgkJAKRkbFDKCtcjtmj+utjNTpaGzIZCwuKUOmJyl4UTB6I9O5TUFBhnL9VFCC/e2f7SFH1e2DorKVYPetm9KK8nXrg4skvobBsL4reehKju5OuM3qN+iPWlx3SozmOGQOoKJiCXp1yMb9gHRZNzrZq7I/Rs1ajqNIa3zOGj/x4Eq66a1sfp7OkOl7sciGmbahC1aIbkNWJx6XjygIsDNZMc1+AgiL7wNV5NOlKLF1BIMEQECKWYAsq0xEEBIHIEAhPxgKoLPwTbsp9HUeMWYatpdtRXLoF705qiVfz7sG8wv2RDeLrVYXPnliIdZ1/i/dLt2Prh3PQ96OHcEW/SzFjUx88uHE7ije+hruwEDc+8AZ2GrzOmfI9PPTIWzhm5AsoVnmmo/2qSZjwzEc+ZNEZ7d+re33qeHHbm8jPTEZy7nwUlq7FtEFtUbnlJdyZ/Tu8d9w9eHfbdhRvewsPHPcebj//BsyuM67+MxKLIBCrCAgRi9WVkboEAUGg3hHwJ2PlWL90Mb4adi1G9k2F/h9lc6QOGIErMrdj7ae74cuNIqw6OfcOTMzpihQASamZGHR6OyBzDCaO649UGjAlDWeenYaqtR9jK+9wheTuiKsn3YbsjFbKovMcgy0Fm7CrjgVGpz53weVY/8Iz+HDgJEzleSalos/tD2NO7l7MfWB5RDfzu7NKXxCIZwSEiMXz6kntgoAgUGcEvMlYOwyavhafTs/C7oK/Y8Xy5Vix/DnkXzwM0zZ8X+cx6y9BCjqknwQUbccOX/JWf6NXm7liI95auhdpZ3TTZDMYEON1B+uUhiAQfQSEiEUfU8koCAgCcYaAScbKy8sBBFC5ZRFGd8/EkLx5WL+ftpd+gfNmP4f8TKDk/7dzPyFRBFAcx39BuBd0AAADgklEQVTtIWKRiEWQMEpbBy+KUkGKUQe7FSRGF9FL1E0kgrpU5s20LaPyEBJFSRFU5C3slBeta4IsrtAfQo2C0GWPu7G6hyLGg9HuY9/36uw4731+gj92hkkt/uOtv6jidTvXvg2zSfV/5ssuf9RsZoONMwv6tFx4Jm6Dj3EIgXIS4PUV5ZQmuyCAwKYF8mXs3tiYYrGYlE3qxcVBzRwZ0dTob69dyD/IPp+RGjd9GdcnRqpq1BCVZsMUonHtqdoqLYd9gJ8jUH4CfCNWfpmyEQIIbFIgCIL1M9OLSs3rr1to2fRP/Qj93YXba6HHS30goorqWsVLOcb2BrV3Vmrh3ZyW/niGLa2vqS9SUKtq3nNRyoS4dgkEKGIlQOeSCCBgXKBQGD48e66pwusjskvTGu0f0mTorbVtircdVWNmUk9ezq3fukwnNTE8oqeh5xTXIRJvVUfTd02Mv1Zy7RmyFc2/uqPr45+LNEhMB3rOquXtkAbuThfK2IqSD6+ob7xSvVc7FPBfqUhZcBkrAvzJW0mCORBAwJBApQ73JjSw/73OtNSvvaOr+fKMdnUndKN7d+ickaBTw/e7pOHjas6/H+zUY62e6NOlpmjoOUU9EAl0MnFLpzWqYw1x1dX06NFquy70txVpjIgq6rt0c2JQbd+u6dDe/PvSWnU+dVC33zzQuX07ijQHl0HAjsCWXC6XszMOkyCAAAIIIIAAAn4E+EbMT9ZsigACCCCAAALGBChixgJhHAQQQAABBBDwI0AR85M1myKAAAIIIICAMQGKmLFAGAcBBBBAAAEE/AhQxPxkzaYIIIAAAgggYEyAImYsEMZBAAEEEEAAAT8CFDE/WbMpAggggAACCBgToIgZC4RxEEAAAQQQQMCPAEXMT9ZsigACCCCAAALGBChixgJhHAQQQAABBBDwI0AR85M1myKAAAIIIICAMQGKmLFAGAcBBBBAAAEE/AhQxPxkzaYIIIAAAgggYEyAImYsEMZBAAEEEEAAAT8CFDE/WbMpAggggAACCBgToIgZC4RxEEAAAQQQQMCPAEXMT9ZsigACCCCAAALGBChixgJhHAQQQAABBBDwI0AR85M1myKAAAIIIICAMQGKmLFAGAcBBBBAAAEE/AhQxPxkzaYIIIAAAgggYEyAImYsEMZBAAEEEEAAAT8CFDE/WbMpAggggAACCBgT+AXYAoSqTx8A4wAAAABJRU5ErkJggg=="></p>
<p style="text-align: left;">The aluminium foil and the plastic film are 450 mm wide.</p>
<p style="text-align: left;">The plastic film has a thickness of 55 μm and a permittivity of 2.5 × 10<sup>−11</sup> C<sup>2</sup> N<sup>–1</sup> m<sup>–2</sup>.</p>
</div>
<div class="specification">
<p>The student uses a switch to charge and discharge the capacitor using the circuit shown. The ammeter is ideal.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">The emf of the battery is 12 V.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p style="text-align:left;">Calculate the total length of aluminium foil that the student will require.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p style="text-align:left;">The plastic film begins to conduct when the electric field strength in it exceeds 1.5 MN C<sup>–1</sup>. Calculate the maximum charge that can be stored on the capacitor.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The resistor <em>R</em> in the circuit has a resistance of 1.2 kΩ. Calculate the time taken for the charge on the capacitor to fall to 50 % of its fully charged value.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The ammeter is replaced by a coil. Explain why there will be an induced emf in the coil while the capacitor is discharging.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest <strong>one</strong> change to the discharge circuit, apart from changes to the coil, that will increase the maximum induced emf in the coil.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.iii.</div>
</div>
<br><hr><br><div class="specification">
<p>A negatively charged thundercloud above the Earth’s surface may be modelled by a parallel plate capacitor.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2018-08-14_om_06.28.35.png" alt="M18/4/PHYSI/HP2/ENG/TZ2/08"></p>
<p>The lower plate of the capacitor is the Earth’s surface and the upper plate is the base of the thundercloud.</p>
<p>The following data are available.</p>
<p><span class="mjpage mjpage__block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="\begin{array}{*{20}{l}} {{\text{Area of thundercloud base}}}&{ = 1.2 \times {{10}^8}{\text{ }}{{\text{m}}^2}} \\ {{\text{Charge on thundercloud base}}}&{ = -25{\text{ C}}} \\ {{\text{Distance of thundercloud base from Earth's surface}}}&{ = 1600{\text{ m}}} \\ {{\text{Permittivity of air}}}&{ = 8.8 \times {{10}^{ - 12}}{\text{ F }}{{\text{m}}^{ - 1}}} \end{array}">
<mtable columnalign="left" rowspacing="4pt" columnspacing="1em">
<mtr>
<mtd>
<mrow>
<mrow>
<mtext>Area of thundercloud base</mtext>
</mrow>
</mrow>
</mtd>
<mtd>
<mrow>
<mo>=</mo>
<mn>1.2</mn>
<mo>×<!-- × --></mo>
<mrow>
<msup>
<mrow>
<mn>10</mn>
</mrow>
<mn>8</mn>
</msup>
</mrow>
<mrow>
<mtext> </mtext>
</mrow>
<mrow>
<msup>
<mrow>
<mtext>m</mtext>
</mrow>
<mn>2</mn>
</msup>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mrow>
<mtext>Charge on thundercloud base</mtext>
</mrow>
</mrow>
</mtd>
<mtd>
<mrow>
<mo>=</mo>
<mo>−<!-- − --></mo>
<mn>25</mn>
<mrow>
<mtext> C</mtext>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mrow>
<mtext>Distance of thundercloud base from Earth's surface</mtext>
</mrow>
</mrow>
</mtd>
<mtd>
<mrow>
<mo>=</mo>
<mn>1600</mn>
<mrow>
<mtext> m</mtext>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mrow>
<mtext>Permittivity of air</mtext>
</mrow>
</mrow>
</mtd>
<mtd>
<mrow>
<mo>=</mo>
<mn>8.8</mn>
<mo>×<!-- × --></mo>
<mrow>
<msup>
<mrow>
<mn>10</mn>
</mrow>
<mrow>
<mo>−<!-- − --></mo>
<mn>12</mn>
</mrow>
</msup>
</mrow>
<mrow>
<mtext> F </mtext>
</mrow>
<mrow>
<msup>
<mrow>
<mtext>m</mtext>
</mrow>
<mrow>
<mo>−<!-- − --></mo>
<mn>1</mn>
</mrow>
</msup>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable>
</math></span></p>
</div>
<div class="specification">
<p>Lightning takes place when the capacitor discharges through the air between the thundercloud and the Earth’s surface. The time constant of the system is 32 ms. A lightning strike lasts for 18 ms.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the capacitance of this arrangement is <em>C </em>= 6.6 × 10<sup>–7</sup> F.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate in V, the potential difference between the thundercloud and the Earth’s surface.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate in J, the energy stored in the system.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that about –11 C of charge is delivered to the Earth’s surface.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate, in A, the average current during the discharge.</p>
<div class="marks">[1]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State <strong>one </strong>assumption that needs to be made so that the Earth-thundercloud system may be modelled by a parallel plate capacitor.</p>
<div class="marks">[1]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>The electrical circuit shown is used to investigate the temperature change in a wire that is wrapped around a mercury-in-glass thermometer.</p>
<p style="text-align: center;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAo0AAADJCAYAAABG+wgeAAAgAElEQVR4Ae3dD1xUZb4/8A/YLb1Lama7Dmq55oLtldYC6aaUqAXarZuLm66uij+4aZv/1lZB0MrKVNArV6+labAqpKnBS7NSKQha7Q9C2eJN4WLXPwj2yrVENtNd5vxe38PMODPMMH+cGebMfM7rxcuZc57znOd5P8Pw9TnP85wQRVEUcKMABShAAQpQgAIUoEA7AqHtHOMhClCAAhSgAAUoQAEKqAIMGvlBoAAFKEABClCAAhRwKMCg0SERE1CAAhSgAAUoQAEKMGjkZ4ACFKAABShAAQpQwKHADQ5TMAEFKEABClBAQwK1tbVqaXv27IkePXpoqOQsKgX8W4A9jV5tHz2aa8vw1qpkhIeEIET9CceI9E0oKq1Fs1evzcz9RqC5FqVvrUJyuPEzEIKQEenIKypDbbPeb4rJglBA6wKHDh1CbGwsXn/9dfUnPT0dTz75JC5fvmxVNfluPoBVmdtQa/gV1NfmITEkBuml563S8i3QhNr31yJzy3HwGyu4Pw8MGr3Y/vqzuzE3fjb2dpqOqhYFsrqRohzHaw81Y8/kcZiZd5SBoxf9/SJr/SkUzR2HyXu7YGbVFcNnoAWXXhuJC3tmI35mPo4zcPSLpmIhtC+wZ88ebNy4EdnZ2erPpk2b1EqdOXPGqnIXUJG7CAuqfrTaz7c2BZoqkZu8AlUtNo9yZxAJMGj0WmOfR9naZciLmodFc4dBZ5LuioiHf49FS+/C1sXbUNHE/7d5rQk6PGM9mspew6y8u7B0USpidTcaShSKsIhEPLNoHqK2/jf+VHGhw0vKAlAgEATKysogt6TNtwceeABHjx4138XXFKCAmwKmUMbN83maPQH9eZw80mDnaGdEpOyE0rAMI7uyCewgBcDuqzh3sg6NdmoSGpGCA0olskZa/pGzk5y7KUABBwKHDx9Gnz59LFKFhYVZvAfOozR9NEZlVwHFqYjsZH5L+grOff42ViVHGYYTRSF51QGrYSRX0ViVj/QR4YY0iUjPKzVLI/nHqENQNhmHJoWn4a230hAe8musKioyyz8R6Vsq0NhUi/eNaUOikJxzCI3m/QkyxCUvHSOMw5xkeIv5EKemUqSHhyNx1Vs4YMpHhkLlo6rxPGrfzzENjwlPfgUVjVfNTBzUR/IeOArZjY0oTr0LncIzUWro7NA3VmBLeqLZ0Ks8lNY2GfLWo6k0E+EhiUjftMJwfXNrsyLwpWYEGLF4q6lC+yNxRhJ0xamI/3+r8BbHr3lL2o/z7YwBib9Fim4XUuNnYNVbe8y+UP242CwaBQJaoCdGZu1HSVo0kJCLmhbz/7gdxdZ369B/0SF1KElLw2r0fncmZmyoNAwluoqzRc8g+rEP0CurCi0y5OjSfyKyfC7i5+7GWfNAr+w9HOyxALXKFTSU/R7395B5p7ux4L8rDflfQUPJUFRMuw/hA1/G0QdXoF5pwaVj84GVT2Hx7lOt4webjyJv5jhMLr8dWQ0yxOUKGrJuR/nkeDy2qsJsiFMjihdsQmn/DNQqCloatuD+inTEhI/Ay0djsaJeylqNpdiAsYvfMZTVifp0HYms4yVI0+mQkHsMLYbODv3ZIjwZnYrSXs+hQR1+dRzrIw9hcnwmis6aB6XFyD+oQ0ZtC1oadmB6LCcmafrXSx4jyM1bAheVmuLVylQd5FGNhp8EJS23UCmpueitizJfvxJoUS7V7FdWTh1k9hnQKfFpG5XCkhrlkl+VlYWhgLYF5HvWeissLFTkx3L7VilJi1aQkKvUtLQeaanJVRIQraSVfGuW9LJSk/vEtXQXS5Q0nU5JyD2mGE5rTavuN55ryFuXoZRcNKZqUS6WZCg66/xt5ddyTMlN0Cm6tBLlomI4TzdTKay/YlYuY35PKLk1lxVFzQeGc4zJ2tZRUQz1MZbN1vXldIv6GN+b19tW3nJi636LslvX2Vg8/qtJAfY0ejXkl/GL87Cl4QoaKt9FYeEbWDm1Admp4zAqchiSORHGq/r+kXnr+MX5W6rR0lCJ3YWF2LXyYdRkT8e4UZGISN7CiTD+0VAsBQXsC1TXob75H2iq/AD5jeEY3K8nLP54hoUjMqoB+Qf+AuPNWfuZuXLkAioPFKMx6l4MMo2JlvNDEdZnAKLwNWrq3V2HQ+9+fZr+ggP5VdAN7odelhDoE9kfjfkfoJLj9V1paM2ktWhuzZRacwW9EbroR5CUNAkSPCiXjqEwLRxbU1/EzlrO3tNcc7pZ4FBdNB5PSsJv5m9Bg3IRNYUZiNyagbk7a7mMhZumPI0CvheoQvao2wzj+AzLaHW6C6nF9kYvm5ewPyL7WI+xND9u9brdsfGStgFHTp43fH/oEBUZDhdyN1zM/fo0Zo9CN+M4S/XfLohM3WVVCb4NJAEGjV5qzXbX/AobiLGpE5CAg9hx8CQDBi+1QYdnqz+OvMRwhKeX2uh96IqIsVMxJQEo3vEx6szHQnV4wVkAClDAvsATyK25bFg+y7iUWuu/DVkj0dX+ia4fCe2JfoPD2znPRq9nO6ltH3K3PoYxjupScpYOnORpWzoQ9jJo9FIrhg4YigkJjm5XxGFCXD/TbQ594/vIHDELRY3/8FKpmK1PBUL7IW5CnINbNf+MhAlDMQCNqMgxLgIvsx6LzGZj+rTUvBgFKGBTIBRdYx7CFN0xHDr6jeV/9psrsGrEACTmeXrx6x6ISUyArvpzHLWY8axHc30dquFiz6VFva6jPl3vRuKUcFQf+spylje+R9WqRxGSmGdaNN3iknyjeQEGjd5qwtAIjF+zHA/nz8XsVUWoMv3Cty5vkDFjGa6unI/xEZ0BGPZNSsbyMgaM3moS3+fbGRHjn0Puw3sxefZqFFU1mv7QqEtVZMxF6tWZWDY+Aqjbh2ffHoy9l1qgXNqNf6v4T+Ry/UbfNxmvGCQCYerYu9bK/ojmZie/d7vGYc664dg36zmsqTD8PjcfR9FLz2IBWn+XPftHNRRdYydh6cPlmJW5ybBUjh7Nx/Mxe/JmRJr+hrjZbM7WRx2z+c+tF/mhGc36noifk4kx+55H5hrj8kBNqC3KxvwFwMplSYjwLISbFeRpnhZgs3pa1JRfKMIGJuNPVZuR1OMzzA+/yTAG5iZEr/0GQ559D3vnx5qNP+mN8Vt3YeWdpgz4IhAEwgYh5U/F2JvUDZ/Nj0Ynw/ifTtGv4NshGajZOxfRYaFQ12z8cJ76GmH9cW/sLYFQe9aBAn4q0BkDxjyJjKuLEdmpP8btrDP9h679At+I3knLUFYwHOfSDb/PNz+BPbfNQOW2ma2/v+1n4PpR+Q55pRAFw08jXf070gk3//4rDC8os/ob4nrWgJP1Ce2PMelTcFXWafxJCnbW/YjQ3mOxpmwNhp97EeGdZGxnN8Tv6YHZlZvwTHR3dwrDczQgECJzvjVQzuAo4j+qsGrgJvT/8zok6WRNL27BJ3AVjaXLMe2NKORtSkJv/rcu+D4CrLHbAiEhIepYQ/MMioqK1LdJSUnmu/maAhRwQ4CRiRtoPIUC3hEwBIxb+mHNK2MZMHoHmblSgAIUoICbAgwa3YTjaRTwqIA6Luo57Ok1F5v/ZP6sco9ehZlRgAIUoAAF3BbgzS+36XgiBTwloEdTxVbMyt6Frc/EGcYHDUBy0RlPXYD5UIACFKAABa5bgGMar5uQGVCAAhSggD8IcEyjP7QCyxDIAuxpDOTWZd0oQAEKUIACFKCAhwQYNHoIktlQgAIUoAAFKECBQBZg0BjIrcu6UYACFKAABShAAQ8JMGj0ECSzoQAFKEABClCAAoEswKAxkFuXdaMABShAAQpQgAIeEmDQ6CFIb2VTX1+P2NhYHDp0yFuXYL4aEpDPQnFxsYZKzKJSgAIUoECgCDBo9POW7NOnDwoKCrBy5UqkpaXhwoULfl5iFs+bAvJZ2LVrF5588knIfyi4UYACFKAABXwlwKDRV9LXcZ2IiAhs374dgwYNwujRo2F8lup1ZMlTNSogn4VNmzZhzJgx6Nu3r/pZuHz5skZrw2JTgAIUoICWBBg0aqS1unTpgqlTp6pBwr59+9jTpJF281Yxk5KS8Ne//hWffvopJk6ciNraWm9divlSgAIUoAAFVAEGjRr7IMjtamNPkwQOW7duBXuaNNaIHipujx49kJ2djaeffhqTJ0/GunXr+FnwkC2zoQAFKECBtgIMGtuaaGKPBIz79+/H0aNH2dOkiRbzXiETEhJQXl6OpqYmDB8+HEeOHPHexZgzBShAAQoErQCfPR0ATS8zq+fNm4exY8eq/8qtbG7BKSAB45IlSyBjHxcuXAjpjeRGgWAR4LOng6WlWc+OEmBPY0fJe/C6w4YNU3uaJEvpaeLyPB7E1VhWgwcPtpg0xeV5NNaALC4FKEABPxZgT6MfN447RZMJEbI0D3ua3NELrHPksyBLNcn2/PPPQ8bDcqNAIAuwpzGQW5d18wcB9jT6Qyt4sAxcnseDmBrPisvzaLwBWXwKUIACfibAoNHPGsQTxeHyPJ5QDJw8uDxP4LQla0IBClCgIwUYNHakvpevzeV5vAysoey5PI+GGotFpQAFKOCnAgwa/bRhPFksLs/jSU1t58XlebTdfiw9BShAgY4U4ESYjtTvgGtzeZ4OQPfTS3J5Hj9tGBbLbQFOhHGbjidSwCkB9jQ6xRQ4ibg8T+C05fXWhMvzXK8gz6cABSgQXALsaQyu9raoLZfnseAI6jdcnieomz9gKs+exoBpSlbETwXY0+inDeOLYnF5Hl8oa+MaXJ5HG+3EUlKAAhToSAEGjR2p7wfX5vI8ftAIflQELs/jR43BolCAAhTwMwEGjX7WIB1VHPPlefr27YutW7fi8uXLHVUcXrcDBbg8Twfi89IUoAAF/FiAQaMfN05HFM3Y03T06FFMnDgRMtaNm+sCFy5c0LydLM+zf/9+NDU1qc80l9nW3ChAAQpQIHgFGDQGb9vbrTl7muzSOHVg6dKluPXWWxEZGYmhQ4eivr7eqfP8MZF8FjIzM7Fx40ZMnz4dy5YtgwTE3ChAAQpQIPgEGDQGX5s7XWMuBO00lSmhrIP57LPPmt5/8sknWL16tem9Vl/I8jzl5eWQYQyjR49GcXGxVqvCclOAAhSggJsCXHLHAZws4eCrTVEUX13K5evIrcl77rnH5fN4gnsC/vxZkCEL0ovKzTsCsbGxasa/+tWv0L17dzz00EOIiYmB9Ppya1+AS+6078OjFLheAQaNDgRtfQk5OIWHg1hAehrj4uIsBKTn8cUXX7TYxzcUsCUgt/4rKyvVQx988AFOnjyJU6dOoaKiQg3U7777bowbNw4PP/wwg0gbgLa+r4uKitSUMl6bGwUocH0CDBod+Nn6EnJwCg8HucB//dd/Yd68earCr3/9a7zxxhuQpY24UeB6BGRIgASSb7/9NmpqatTAMTU1FRMmTLiebAPqXFvf1wwaA6qJWZkOFmDQ6KABbH0JOTiFhymgCvCzww+CtwROnDiBnTt3YsuWLepEq6effhozZszAnXfe6a1LaiJfW79zDBo10XQspEYEOBFGIw3FYlKAAhQwCkhwmJGRgePHj0OCIrmNPWDAAIwfPx4SUHKjAAUo4A0BBo3eUGWeFKAABXwkIKscSK9jXV2dekUJHtPS0rg0ko/8eRkKBJMAg8Zgam3WlQIUCFgB6X00Bo+yPNLtt9+OHTt2BGx9WTEKUMD3AgwafW/OK1KAAhTwmoAEj5999hlyc3PVCVnSE8kF2b3GzYwpEFQCDBqDqrlZWQpQIFgEZFa1PA5U1npkr2OwtDrrSQHvCjBo9K4vc6cABSjQYQKyILjcspZeR1meRx4FyY0CFKCAuwIMGt2V43kUoAAFNCIgvY5ffvklPvroI9x33328Xa2RdmMxKeBvAgwa/a1FWB4KUIACXhCQsY4ff/wxunXrhqFDhzJw9IIxs6RAoAswaAz0Fmb9KEABChgE5Ha1PFlGHkco4xwPHz5MGwpQgAJOC9zgdEompAAFKECBgBCQcY6yluOIESPw4YcfYsiQIQFRL6mEPOvdfJMF0CdOnGi+i68pQAE3BRg0ugnH0yhAAQpoWSA7Oxv9+/cPyMBRy+3CslPAnwUYNPpz67BsFKAABbwo8NRTT6m5B2KPoxfZmDUFglaAQWPQNj0rTgEKUACQwPHzzz9XexxPnz4NGffIjQIUoIAtAU6EsaXCfRSgAAWCSGDjxo145JFHOKs6iNqcVaWAOwIMGt1R4zkUoAAFAkxAJsfIjOoxY8YEWM1YHQpQwFMCDBo9Jcl8KEABCmhc4M0338TFixf55BiNtyOLTwFvCTBo9JYs86UABSigMQEZz/juu+9i27Zt2LBhg8ZKz+JSgALeFmDQ6G1h5k8BClBAQwLy5JiioiLMnz+fi39rqN1YVAr4QoBBoy+UeQ0KUIACGhJISEjA008/jSlTpvBxgxpqNxaVAt4WYNDobWHmTwEKUECDArL4tzyn2riWowarwCJTgAIeFmDQ6GFQZkcBClAgUAT27duH9957j+MbA6VBWQ8KXKcAg8brBOTpFKAABQJVQCbGGMc3njhxIlCryXpRgAJOCjBodBKKyShAAQoEo4CMb5w0aZL6E4z1Z50pQIFrAgwar1nwFQUoQAEK2BBYsWIFzpw5g+XLl9s4yl0UoECwCDBoDJaWZj0pQAEKuCkgt6k3b96Ml19+GbxN7SYiT6NAAAgwaAyARmQVKEABCnhbgLepvS3M/Cng/wIMGv2/jVhCClCAAn4hYLxNzafF+EVzsBAU8LkAg0afk/OCFKAABbQpYLxNLU+LuXDhgjYrwVJTgAJuCzBodJuOJ1KAAhQIPgG5TT106FAu+h18Tc8aUwAMGvkhoAAFKEABlwTWr1+vLvpdXFzs0nlMTAEKaFuAQaO224+lpwAFKOBzgTvvvBOLFi3CnDlzfH5tXpACFOg4AQaNHWfPK1OAAhTQrEBGRoZadq7dqNkmZMEp4LIAg0aXyXgCBShAAQqIwNq1a9W1Gzkphp8HCgSHAIPG4Ghn1pICFKCAxwVkUswjjzzCSTEel2WGFPBPAQaN/tkuLBUFKEABTQjI7en33nsPhw8f1kR5WUgKUMB9AQaN7tvxTApQgAJBLyCTYp5++mnMmjUr6C0IQIFAF2DQGOgtzPpRgAIU8LJAdnY2zpw5gx07dnj5SsyeAhToSAFNBI0hISHoqB9pnI66tlyXGwUoQAEtCOTk5GDevHl8UowWGotlpICbApoIGhVFQbD+uNmuPI0CFKCATwUmTJiAvn37Qp5PzY0CFAhMAU0EjYFJz1pRgAIUCCyBdevW4dVXX8WJEycCq2KsDQUooAowaOQHgQIUoAAFPCIwZMgQdQke48LfHsmUmVCAAn4jwKDRb5qCBaEABSigfYENGzbwudTab0bWgAI2BRg02mThTgpQgAIUcEegR48efC61O3A8hwIaEGDQqIFGYhEpQAEKaElAbk83NTWBz6XWUquxrBRwLMCg0bERU1CAAhSggIsCmzdv5nOpXTRjcgr4uwCDRn9vIZaPAhSggAYF5LnUQ4cOxcKFCzVYehaZAhSwJcCg0ZYK91GAAhSgwHULrF+/Htu2bUNxcfF158UMKECBjhcI2qDRG0956fjmZAkoQAEK+I+A8bnUc+bM8Z9CsSQUoIDbAkEbNDr7hBmRdSWt2y3BEylAAQoEoIA8l1q2tLS0AKwdq0SB4BII2qAxuJqZtaUABSjQcQL5+fl8UkzH8fPKFPCYAINGj1EyIwpQgAIUsCUgT4qZNGmS+mPrOPdRgALaEGDQqI12YikpQAEKaFpgxYoVuHjxIm9Ta7oVWfhgF2DQGOyfANafAhSggA8E5Ekxcpt65cqVOHz4sA+uyEtQgAKeFmDQ6GlR5kcBClCAAjYF5Db1smXL8Pjjj+PChQs203AnBSjgvwIMGv23bVgyClCAAgEnII8YHDRoEH77298GXN1YIQoEugCDxkBvYdaPAhSggJ8JvPnmmzh9+jTGjx/vZyVjcShAgfYEGDS2p8NjFKAABSjgcQHj+Mb33nsPGzZs8Hj+zJACFPCOwA3eyZa5UoACFKAABewLyPjGDz/8ECNGjFATPfXUU/YT8wgFKOAXAo57GptrUZqXjhEhIWh99F4UklcdQG2z3m4F9GeLkBoeg/TS81Zp9GiuysGI8FkoOnvV6ti1t/raPCSGjEde7Y/XdvIVBShAAQoElIAxcJw/fz6X4gmolmVlAlWg/aBRfwpFc8dhcvntyGq4oj5Or6VhAwZXz0f83N04aytu1J/C7ueeR16jLbJQhN0zBlOi9uO1A1/D1unAj6g7uB/VKb9F4oDOtjLhPgpQgAIUCBABY+BYUFCAhIQEzqoOkHZlNQJToN2gUV9XgtfybsKU5AmI1d2oCoTqhmHuonmIyluGtWXWPYlNOL75RaR93RND7XmF9kfijNGo3vEx6mxFjfqTOLjjLKb87kH0brd09i7A/RSgAAUooCUBCRyPHj2qFvn222/nOEctNR7LGlQC7YZloREpOKBUImtkTxsoDThy8rxZb6Hces7F7xd3wYrM3yDMxhmtu25E74eSMKW6CG9/8b1VKj2ayrZi8dXfYHxsD6tjfEsB3wi0DsMwDsdw/18prSfy8k2teRUKdKyATI4pLi5Gbm4uXnzxRYSHh2P58uU4ceKESwWT9R/Nf5qbm9HQ0IDa2lr1p76+3qX8mJgCFLgmcB0TYeIwIa4fTFFncyU2zH8D/dcVYuwdJdh07RptX3W9F+OfAR7b+TmmR49EV1OKC6g8UI6oKbm4J8yUs+koX1DAFwKKovjiMrwGBShgQ2DChAmQnx07dqCwsBAvv/yymupf/uVf8P3336sLg//jH/+A/Hz66adtni7zxRdfWOQqAWRJSYm6xI8ckOBxz549ahrp4fzVr36FKVOm4MEHH7Q4j28oQIG2Aq4HjTJmMSsH1SkvIM805vB7VG1Yjnf/7VXsTboDobVtL2S5pzvu+fckRMV/gMpF8RjZtTVA1J/9CG8U3oMZ5f2vBaOWJ/IdBShAAQoEgYAxeJSqSuBXWVmJGTNm4NChQ2oPflNTE6qrq1WJu+++Gz/88APq6urwySeftNGpqamx2DdgwABID6Q8zvDs2bMYOnQog0YLIb6hgG0BF4PG1jGLs77+DQq2PWoYc3gVZ4sW47F3H8TevTHqbWlbQxWtLx86YBRmjMnHGx+cQbwEmjIB5sCb2DfuKeT0bh0/aX0O31OAAhSgQPAJyK1rmSRz5coVnDlzRv0Rhfj4eNxwww04d+4cevXqpQaNP//5zy2AJJj82c9+hp/+9Kem/RJwyr6BAweirKwMly5dMh3jCwpQwL6AC0FjE47nzcPIxcDS0nkYaZgYoz/7Dp6bdRLP7F2KaFduKYf2xUO/ux+zskpQNzYFEZAJMH/HM8vuNbtdbb/gPEIBClCAAsEl0LdvX1RUVEB6Cm+55RZ07twZXbp0wT/90z/h73//u4oh+8w3uY0dFhamppf98l42OUeGokREROBvf/ub+Sl8TQEK2BFwbuCgvhEVObMNAWMOUgYaRyG29g7mNb6LBTG3mAb9d4pMRTGqkD3qNoQk5qHWZtdjKLrGjsUzV0twsO4HNH+xD/l4DP9+T3c7ReVuClCAAhQIZoHLly+behQl6JMew2+++UYNCn/yk5+oND/++KMaBF68eBHyIwHht99+C5kAI7e5pVdSAk4JGKUXUm5TWweawWzMulOgPQGHPY36xvexeFIylmMaCssWIinCGDBKtp0RkbITSorlJWRx7jGRr2JwyX47M68N6cPuxr9PAWYfrEDfmv3oP2MjBjgXxlpekO8oQAEKUCDgBc6fPw/pbezTpw8+/vhjtb4yQcbYeyg7/u///q+NgwSL//u//6vul/GPp06dgl6vV8dJys6uXc3/rrU5nTsoQAGDQPtBY3MFVkvAWJOEwsNLkOTxsYadMSBxHPpMfgHLztyPZxf15QQYfjQpQAEKUMCmgASHN998M2688Ubce++9ak/j//zP/7RJKz2JcttaNul5vPXWW9Vxi9LL+Je//MWUXm5zSzoZF8mNAhRwLNBOv96PqN25CgvKGoHGVzCuz02m28/GtefC00vR5Pga7aYI7f0gfhd7FXhqLGINs6jbPYEHKUABClAgKAUkuJMgUG5L//Wvf1UnvghEbGysOs7RiPLdd9+pazPK+ozGXkYJGI2b9DZKwCizraX3Um57c6MABRwLhChclK5dJQmQSdQuEQ9SgAIU8IlAZGSkGuDJDGrZZPZ0aGioOi5Reh8PHjwIZ2dPS3oJQmX29Jo1azBnzhyf1IEXoYCWBdgnr+XWY9kpQAEKBJGA/AdeAkaZ8SxBn0x+kWV4brrpJnTv3jqJUoJI2Wfc5Ja2vJcJMTLhpWfPnmhpaVHHM8ojC2WMJGdPG7X4LwXaF2DQ2L4Pj1KAAhSgQAcKyK1jCRRlprP0DEqgKLeff/nLX6qzou+44w5069ZNnUVtLKb1xBYZ09i7d2/11rbcrpbAMTExEfL0GMlbFg6X6xjHQRrz4b8UoIClAG9PW3q0ecfb021IAn6HtLk/bRwe4U+twbL4QkACuD//+c/YtWsXvvzyS/U2tPQkyiLcSUlJapB49OhRtSgybvH06dPq65UrV+L++++3KKIEiXfddRd+8YtfWOyX/GRxb/n9kqfMyK3thQsXqvlbJOQbClDAJMCg0URh+wWDRtsu3OtYgJ8dx0ZMQQFrgaKiIqxYsQJTp05FXFwcBg8ebJ3E7nv5nVu8eLHF8ePHj2PixIkOg0F5JvXrr7+uPpt6wYIFGDZsmEU+fEMBCgC8Pc1PAQUoQAEKdLiALL79wgsvqAtvS+AoazH6cpNxktnZ2Wqvo/RYbt68GRI8yn5uFKBAq0A7S+6QiAIUoAAFKOB9gSNHjqg9gWPGjFEDN3cDRoaXC1MAABV8SURBVDnPfKFvKblMgpHleZzdpIdx9+7dmDZtGiZPnoy0tDT1aTLOns90FAhkAQaNgdy6rBsFKEABPxeQ8YT33HMPcnJyHN5CdlQVmRDz1VdfmZLJ2EiZ5CLrMrq6SfBYXl6Of/3Xf1XLtW7dOnXNR1fzYXoKBJIAg8ZAak3WhQIUoICGBCRgnDdvnjqD2RNjCOW29ttvv20K7uRRgwkJCbjvvvvcUpHZ1DLxRoJH2WQW9tatW7kYuFuaPCkQBBg0BkIrsg4UoAAFNCYgYxhloov0MLp7O9q6yjL+8J133lGf9CKzpmWJnvXr11snc/m9BI+zZs1Sb3NLuYcPHw4JUKUnkxsFgkmAQWMwtTbrqiEBPZprS5GXnnjt8Z3hyVj1fi2azWvRXIvSvHSMCAkxpItC8qoDqG3Wm6e6ztd6NJVmItx0DeO1zP4Nz0RpkyeveZ1F5ul+LSABnfTgyTI3nuhhNK/syJEjUVxcjOrqavzhD3/w6NqLPXr0QGZmJgoKCvDpp5+qs7Klt5QbBYJFgEFjsLQ066kpAf3Z3ZgbPxflvZ5DQ4sCRbmCht2xqE4eh7lFp6CGZ/pTKJo7DpPLb0dWwxV1vbmWhg0YXD0f8XN346zHY7hopJV8q15H1raz+GlYhpF8drymPmMdWdj09HR1SR1PB4xSJ+kVlEW7Z8yYAZlY443NONN6yZIlkJnWY8eOVZfq8ca1mCcF/EmAQaM/tQbLQgFV4EfUHXgTeXgMyan3Q6f+lt4IXWwqFi29C3mzXkNZkx76uhK8lncTpiRPQKzuRvXMUN0wzF00D1F5y7C27Dw9KeB3AjImUDa53eutTdZ2/N3vfufRXkZbZZXryExrWZpHZlnLj6z36NvtR9TmjUeIsbdffxx5iQOQmHe89T+XbhdG7nYUIX1EeOtdjMQ81Hr8P6LtFc6qXu0lNR1rQu37a5G55XrrbsrQD1+44+K5ajBo9Jwlc6KAhwQ6IyJlJxR7vXeNdTh57ipCI1JwQKlE1sieNq7bgCMnz1v90TiP0vQYhCSuQNGBHCSHG24vj0jHlqqzaKo9gFXJUa1/IMKTkVPRaHW+jctwFwVcEJCldWQWclZWlgtn+X9S6THdvn27OtNalunx7UxrB98X7vLpa7Fz9izk91+HernbcSAFET6NGNyoV1MlcpNXoKrF3Upr4Tw3XDxYLZ9+BDxYbmZFgeAVSBiNuAGdHdQ/DhPi+sHmL3jxWvx36R1YVNsCpaUeJfcfwbSYPhj4ch0eXFEFRbmIY0tvwMqxL2P32asOrsPDFHBOQCaNTJ8+HRs3boSMDQy0zXymtTz7WmZaS/Co+ckyPbvjZptfJIHWgqyPMwL8KDijxDQU8AMB/dn3kLX4GFJmjMIAe7+5+lPYnZWD6pTfItFeYKmbhmcXjUVEWCgQqkPMQ9HQ4QksXZRquM3dFRFxwxDV+Ck+q2kyq3kVskfddm1ijnFijPG2mFlKvqSAtYDMkpaxf648FtA6Dy28l+BRHoFoXFDc0UxrfWMFtpgmvNmayNaE2tK8a7eJQxKRnldqNtnNnduV1hPtwjEiPQ+lta2/7/raPCR2ugupxY1ozB6FbiExSC+1MdylqRTp4XLuWtNdivD0Uqi56BtRtcVskt6IdOSVmk/ksy5DCEIs0ljXy0F6KcvAUchubERx6l3oZPpeuorGqiJT+eRRk5bXMU70G49NpWUO2kLyyr/WFjYmJ1q2p6Vr28+vdR0lhbE8Vuaqtew7Yzkc4braoG2JHO2x96fH0Xk8TgEK+FKg+Sg2Zy7D19NWY+nYO2z3IKIJxze/iFlf/wYFSx9Fb4//dtuZCGPvNrovfXgtvxaQ29Iy9k/WZAyWTXpTZdymcaa1BI/Wm/5sEZ6MHovNmIGaSy1QLm3HcIuJbE04njcP8ZPL0SurCi2KgpaG59CrfC4iH1uDKrdWSdCj+Xg+ZppPtGupQlavckyOnIRVVd+3Dn1pOYbcBB10aSW4aHcYjNSoEWX5X6JHxiEoLd+gbHoMusokvScT8FipcZJeCy6t/yXKJ5tN5GuuxIYZaSiP/E9cUifWXUHDs/+M/FGLsbP2R2sqwFH6riORdbwEaTodEnKPoUX9XgKaq17BpMf2oNPMYtVPnVSoXucZbKj63uw6uzD9pWLcnLrLMKlwNXq/OxMzNlQaVqy4irNFzyA6pgCYXYpLSgsulY60mJzY2p6pKDVNYDyO9ZGHMDk+E0U279p0xoC40UhoLMaByguGslxA5YFiNMJ8iJEeTZUfIB8JSIy51azMxpdutoHxdFf+Vbi1KwDI54cbBVwX8Nhn51K1kjt1kKKbulk5dqnFTkEuKsdyUxSdLkXJPXbRTppvlZK0aAUJuUqNKZsW5WJJhqLDE0puzWXTeS01uUoCopW0km8VRTGmMb43JeMLCjgU+OGHH5THH39c+eKLLxymDeQEZ86csareZaUm9wkFugyl5KLxF9L4u2b4fbxYoqTpBikphScVYwo1E3W/TknIPaa0KFb5tBxTchPuNByzuqT6tvV7QJdSqNRbZGr1/aDmo1N0aSWKvW8URS0HrNJY1cFUBMN+Q31bv2Msv3dMSdUXlvVynF5RWstjdJFMDHW1roOFkbG81t9vzniYpzF/bV4TO2UwJrEoi3zdSvtFK5OmjlV0pu9q8zwsXa6nDYxFcOVfj/dFuBKwOptW7U423grz8b9Sxo6+vrNOTBd4AvrGQ8iZORGLMR+lr0zBQLmlbL3pG1GRMxsjFwNLS3OQMrCrdQq+p0CHCezatQuyRE2g35Z2BNxmAXP9SRzccRCIGoA+pt/rUHQduQwNyk6kRNzY2rvUeBeGDfqZ5d2FsHBERgHVNQ2W67Y6KoQcb/oLDuQ3IGrYLw0rMxhPCkOfyP5AdR3q3erBNOZj6CnTDUC/Xq2rOrQeCUVYnwGIMvSqhYYPwsPxB7E49x1UlL5jujVuzMX6X1fTt57fEyOzKtGQFYNzpXvUBdmLijYhfdRIpBb/YH0Jq/eWHvq6j7GjGIiKDEeYKWVr/uokoWZxrYJucD/0sviabs2nMf8DVNpayza0H+Im3IviHR+jTg+o16lOwLSZjyDK2BZqmwFTEu+Gc9/uzrWBqRouvLComgvn+TSpxXpw1uvDBfh7n0LzYn4kcBWNpS9gVPgTeLvXCyizEzDqG99H5qho3Pd2b6wrY8DoRw3IogCQp6fIZJCFCxfSw2WBqzh3sg6N7ZzXeOQkzrm4DI7+3EkcaTfT1tUZ2rmsc4cal2NUt04WnS6dIlNRbDw7LBbz95ah4L7vUPjSdIyK7IaQNuM1jYkBuJpePVVuxW9Bcng3RI56FZ99L1g/ReL6IuQmuBl0mxXJ1svWMaBmDz4I6YLI1F22khr2GW5RF+/Hwbof0FxfhxNTHsJ9MQ9gQlS5ettabTP11rSLE8gctUE7pbJ3SBNBo73Ccz8FAlNA3zoOZ9QS1KSsQ8HypNZJK9aVba7A6knJWF6ThMKCJUiKcO7/oNbZ8D0FvCWwdu1aNWAMxNnS3jK7lu+N6NVvAHTXdrR51bZXq02SNjtCe/XD4HYzte4hbJOFczsSclGjPpjA6kEA5uMjwyIwMulJZH3YAKWlAZWFD+Pc4lGIf6msdTKN9ZVcTS/LBs3NwPtjClHfcgBZKb9BUtLjGBn+A2qq24ucrS/s7HvDeEpbnVntjP0OHTAUExLOoqb+JCoPlONO6c0M7Yl+g4EjJ8+g9uB+VE95CDGuPkDBmTZwtmqGdAwaXQRjcgp4XUC+6DJXokyGmOeNQ59O5v9rldeGGXQ7V2FBWSPQ+ArG9bnJ4n/0MqTCNIvR6wXmBSjQVkAerycLXcvjArnZEFBvS8a1uR2szlwOCUdiXi3CYh7CFN0xHDr6jeWaqc0NqKm2vlVq4xq2dnW9G4lTwlF96Cs0WvRSNqO+5mur2+W2MnC0rwdiEhOgq/4cRxvNl+yS/wznYETIeOTZmugSqkN00jQkT4mGUz2ozqQ3Olnditdf+h425oK3W7HWwM66d9Iw+1nqdO4Xdly/R9WqRxHS3uLoaoB4Bfm5WcjN721YLk0ch6M6fxWW55914da0VMPNNmhXwHDQlQGQTEsBCjgv4LGJMM5fkikp4BcCMvllyJAhSk1NjV+Ux18L0dJQrGTE36nEZxQrDTIppaVeKclIUBC/WqlUJ70ZJ7hNVVZ/1tA6GcYwMe5aGquJEdYTK9pUvkW5dGyzMlU3SJm6+mDrdRXDdfBvysrK71rPUPNxZyKM1OOkUpgik/fWKZ81XFEn012qKVTSpK4rP1MuyR51sl2CklZ4TH0vE+5a00QbJv5Y1stxesnUbBLQ3y4pl1oMk1PilyglajkUpaXhoLJ66iBFvp9bJ/nYmwhjeX1FuaI0lCxR4pGgZJTUq21haj9jneoLlRQr15rCDCXe3LVNe8gOYxlgMTGqtc6W+xTriU82JyNJlo7bwGZRHOxkT6MzkTXTUIACFKCA0wL79u1DfHy8OgHG6ZOCMGGo7mEs3bYN01pWIVzuKHQagpdaJqNy20xEq5NjumJgSg7KCobjXHo0OslE0Jv/iJrha1Czd64hjatwoQgbOAWvlK3B8HMvtl43ZCB+XzMMBTXbMD+6u6sZtk0fegeS1hSiYPhppIfLXZBOuDl+D26bvQPbnolVJ5KERkzG5soZuG3PE7hZneBqTPOazWXFnEof2h9j0qfgqqzT+JMU7KwLQ/wfXsXm2I8xSi1HCPos/AR9k19FYVp023K3u+dG6EZmYFvlZLS8NERti07hq9Aybdu1OvUeizUWrt0Qv6cHZlduwjPtuoaiq9qrDOjMbkO39m7q3Ov9daIN2q2unYMhElTaOcbdFKDAdQjILWL+el0HIE/VpMCFCxfUp6HI4tYcy6jJJmShKWBXgD2Ndml4gAIUoAAFXBVYsWIFCgsLGTC6Csf0FNCAAINGDTQSi0gBClBACwIy8aWsrAxjxozRQnFZRgpQwEUBBo0ugjE5BShAAQrYFkhLS4M8Y1qev8yNAhQIPIEbAq9KztVIxpt5euP4NU+LMj8KUEArAsXFxbjtttswbNgwrRSZ5aQABVwU4EQYB2CczOAAiIftCvCzY5eGBwJM4PLlyxg+fDgKCgo4YzrA2pbVoYC5AG9Pm2vwNQUoQAEKuCwgz5ceO3YsA0aX5XgCBbQlwJ5GB+3F3iIHQDxsV4CfHbs0PBBAAvJ8aXnqy/79+zljOoDalVWhgC0B9jTaUuE+ClCAAhRwSoDPl3aKiYkoEBACDBoDohlZCQpQgAK+Fzhy5Ij6fGkuseN7e16RAh0hwKCxI9R5TQpQgAIaF5DJL0uWLFF/uMSOxhuTxaeAkwIMGp2EYjIKUIACFLgmIM+XjoiIwODBg6/t5CsKUCCgBTgRxkHzcjKDAyAetivAz45dGh7QuIBMfunbty/4fGmNNySLTwEXBdjT6CIYk1OAAhQIdgGZ/MLnSwf7p4D1D0YBBo3B2OqsMwUoQAE3BeTJL/KMaVlmhxsFKBBcArw97aC9eYvRARAP2xXgZ8cuDQ9oVIBPftFow7HYFPCQAHsaPQTJbChAAQoEukBOTg6mTp3KJ78EekOzfhSwI3CDnf3cTQEKUIACFDAJyJqMu3fvRnl5uWkfX1CAAsElwJ7G4Gpv1pYCFKCAywJyW3r69OnYuHEjuCajy3w8gQIBI8AxjQ6akuPSHADxsF0Bfnbs0vCAxgSWLVuGrl27YtasWRorOYtLAQp4UoC3pz2pybwoQAEKBJiAzJauqKjA9u3bA6xmrA4FKOCqAHsaHYixt8gBEA/bFeBnxy4ND2hEQBbxlqV1CgoKOPlFI23GYlLAmwIMGh3o8g+/AyAetivAz45dGh7QgICMY5wzZw7GjBnDNRk10F4sIgV8IcCJML5Q5jUoQAEKaEwgNzcXt9xyCwNGjbUbi0sBbwpwTKM3dZk3BShAAQ0KHDp0CFu3buXyOhpsOxaZAt4UYNDoTV3mTQEKUEBjAjKOMS4uDjU1NVxeR2Ntx+JSwNsCvD3tbWHmTwEKUEAjAjKOUSa+HDx4kBNfNNJmLCYFfCnAoNGX2rwWBShAAT8VME58kccEDhs2zE9LyWJRgAIdKcDZ0w70OQPWARAP2xXgZ8cuDQ/4oUBaWhq6d++OzMxMPywdi0QBCviDAHsa/aEVWAYKUIACHSiwbt06fPfdd5g3b14HloKXpgAF/F2AQaO/txDLRwEKUMCLAhIwfvnll1i7di0nvnjRmVlTIBAEGDQGQiuyDhSgAAXcEGDA6AYaT6FAEAswaAzixmfVKUCB4BVgwBi8bc+aU8BdAa7T6K4cz6MABSigQQGZJf3888+rYxh5S1qDDcgiU6ADBdjT2IH4vDQFKEABXwpcuHBBfZ60zJJmwOhLeV6LAoEhwKAxMNqRtaAABSjQrkBtbS1Gjx6NBx54QF1Wp0uXLu2m50EKUIAC1gK8PW0twvcUoAAFAkygqKgIK1asQE5ODhfuDrC2ZXUo4EsBBo2+1Oa1KEABCvhQQG5Hp6enq1eUwLFPnz4+vDovRQEKBJoAb08HWouyPhSgAAUASJB46623YsyYMdi0aRMDRn4qKECB6xZgT+N1EzIDClCAAv4jcOTIESxZsgQRERE4c+YMg0X/aRqWhAKaF2DQqPkmZAUoQAEKADLR5fXXX1f/XbBgAccu8kNBAQp4XIBBo8dJmSEFKEAB3wjImouff/45Vq5cqV6QwaJv3HkVCgSrAIPGYG151turAtLrI5v8UefSJl6lDsrM5Rb0wYMHsXXrVsTHx4PBYlB+DFhpCvhcIERRFMXnV9XQBUNCQkAiDTWYHxR12rRp2LJli1qSn//85/joo484rswP2kXLRaivr8dXX32FyspK7N69G+Hh4UhKSsKjjz6KHj16aLlqLDsFKKAhAQaNDhqLQaMDIB62EDh06BDi4uIs9k2fPh2vvfaaxT6+oYAISE+0TFYx37799lt88803aGhowOnTp9Vbz48//jhiY2MRExOj/jBQNBfjawpQwFcCDBodSEvQyI0CFKCAtwTk1rL5Jo/4GzhwIMLCwtCvXz/07duXQxzMgfiaAhToMAGOaXRAz1vTDoB42EJAxjJGRkZa7HvppZewePFii318QwEKUIACFNCaABf31lqLsbx+LSBr423fvh0yllG2//iP/8Af//hHvy4zC0cBClCAAhRwRoC3p51RYhoKUIACFKAABSgQ5ALsaQzyDwCrTwEKUIACFKAABZwRYNDojBLTUIACFKAABShAgSAXYNAY5B8AVp8CFKAABShAAQo4I8Cg0RklpqEABShAAQpQgAJBLvD/AaYT1u1g4/UqAAAAAElFTkSuQmCC"></p>
<p>A power supply of emf (electromotive force) 24 V and of negligible internal resistance is connected to a capacitor and to a coil of resistance wire using an arrangement of two switches. Switch S<sub>1</sub> is closed and, a few seconds later, opened. Then switch S<sub>2</sub> is closed.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The capacitance of the capacitor is 22 mF. Calculate the energy stored in the capacitor when it is fully charged.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The resistance of the wire is 8.0 Ω. Determine the time taken for the capacitor to discharge through the resistance wire. Assume that the capacitor is completely discharged when the potential difference across it has fallen to 0.24 V.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The mass of the resistance wire is 0.61 g and its observed temperature rise is 28 K. Estimate the specific heat capacity of the wire. Include an appropriate unit for your answer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest <strong>one</strong> other energy loss in the experiment and the effect it will have on the value for the specific heat capacity of the wire.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">A small magnet is dropped from rest above a stationary horizontal conducting ring. The south (S) pole of the magnet is upwards.</span></p>
<p><span style="background-color: #ffffff;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAgcAAADHCAYAAACN1vCmAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADEmSURBVHhe7d0NdBRlmi/wf4LrONmAqLCSCMoFFtAD8pGIzICX8GEizrjkJKJXRhIuGZB7QRxYSPjQVa6AkHDJijjjiMklwOAoJgcXXSRCDAu4GhM+lCMkiwwDTKIHQYQsOq4kt57qt5LuSnWnE9Ld1dX/H6cPXZVOd6e+3qee9yuqUQMiIiIihcGBjZ09exZXrlxRS5569eqFn/70p2qJiIio4zA4sBEJBsrKyrBv3z689tprmDRpEvr3769+6ikvLw/33HMPUlNTMWbMGAwfPjygwUJUVBR4qBARRYZo9T+F0IEDB/RCPi0tTV+ePXu2njEo+d0zGPl3X2GLFghIMJCXtwWfRA3EA79+Wi+oS0pKkJiYiI0bNyImJgbr16/HhQsX9PcgIiJqLwYHISQFeXZ2tl7wL1y4EBUVFcjIyMDQoUPx06ufYe2UhzDns3Eou3xVDwYaL5djSfe9eHzAFKypuoiePXsiOTkZGzZswPnz53Hp0iU88MADerBBRETUXqxWCBEJDKQgl2AgKyurRZXAj1VrMDDxXcyq3IEFCbFqreZSGXIGjkfx/EocX5CA69Rqw+HDhzFz5kzk5+dj1KhRau21Y7UCEVHkYHAQIjNmzMCQIUMwZ84ctcaTKzgowqiC1/Hy9EFwCw9aJW0XpIpiy5YtXtsstBWDAyKiyMFqhRCQwvvcuXNeAwNx3bDJyJ0ObMoajM7xmVjzVglKympQr37ui1Q3LFq0CG+99ZZaQ0RE5D9mDkJAGhLW19frVQo+NdShascBHPlwA7JyS9XKQcjIW4Ols+5H/1jvsZ1UW9xyyy0ddrfPzAERUeRgcBACEhykp6e3sbD9AXVVu3Hggzcwd+H7GJC3HTsWjPBa3cDggIiI2ovVCiEwYsQI/f/vvvtO/98/1yMu4UE8vOD/Ykt2PMpf+TdU/6h+ZKG8vFw9IyIiahsGByEgbQJEQUGB/n9LX6MsJxFRKYWoaVCrmtyAG7t3BvrejM5e9p60aZDMBBERUXswOAihI0eO6OMctMwg3IwRj/wKSaVP44nFm1FV94Na/wPqKoqwbu31WJyTgn4We6+0tFQfWnn//v1qDRERUdswOAihdevWoWvXrvrwx9IOoTlIiEZswlPYUb0Vs7vvxkPxP9Hr/KOifoKEl7/DpB0bsXzcbR47r6amRg80nn76aRw6dKhDxzggIqLIwgaJHU16GPxrLeIfTECcj9DLvYGfFOwyl4KMlLhixQo9WLjjjjuaqh+sSCBRXV2NTz/9VA8samtr9e6LEydObBpQqSMbEbJBIhFR5GBw0KHqUbXmISS+8gtUHl+ABPPwhW6sClvpYVBZWak/tm/fjk8++QS//vWvcdNNN6lXuEgQIWTI5UGDBuHuu+/Wh1w2Y3BARETtweCgQ11bcGBFsgpm3bp1w80336yWvGNwQERE7WHDNgc/oq5kFqJkVMANORirFUpSMMVnvoyPqsqQnzlYX46KSkFOyfGmEQMb6qpQsiYT8er1UVHxGJvj3phPXnPA7fcHI3PVMmTG90NmyRntp2dQktlP+5xV2JCT4vYeJaipN7oMyFgDJVjT9B7un6ECg4XlwBcLkfg3Y7Gmyp/xDH2T4Y/ND38CAyIiovayb4PEuvfx7ol78fvL/4XLxzbi/vfn4GeJq3Eu8z1cbfwGlXl/g9z0f8KbNd9rpf5xbJzmPoPhX1H78VLcvjkDD/3zflyS96uvwNopk5GHBTimveZq7SsYeuwtbKrTP61J3aYPcOLeF3G58SouVy4EcufgyTdr0KD9q696GVMSn8VnY17Xfi6zJJZi6pe5SJzyMqrqY5CwYIf2vZKAvnmo/K8PPCdMIiIiChM27q0wGlOzHkT/2OsQ2/9ejBkcB2Q8gSf1VvpdMWRsEvriHC5c/lH7KwZi+q5a1BZlYqA+pPD1iEscr/9O3ZcX8Z9awX6pYjvWlo/G8qWP6q+JjhuFp5bOQ7Lrw5olP4qs1IGI1T4ldthETNVeULr3c3yFC6h48w8oT56HpdPUREixgzBN3qP8D3iz4oL+60REROHOxsHBzejaWVXaR/8tuvaIQd/Bd6C7a40FSfn/q95yv6RkA3LGj0NWqZEWuIL/OPjvqOs7AkP63KDWaW/bozeGajGHhx5dmwcXUp+ra/gapw7XapFCFgZ0MqouotBpQBZKcRFfXmzLaIdERET2ZePgoA0a/oKyJQ8hPvFFfHxR2gf8HVJ+V4KCZHPJf+3isvfgW6lS8HicQFFaL/UKIiKi8OaI4KDhxC6sfuE8svf8AaunP4y0tEkYF38F1Z8ZmYMY/P3wnyHuiwocOfm9Wqf93pencNjU5sCr6G7oPTQedZt3o/JSizGNiYjIRHpb+fNo2zwzFAyOCA5c1QO1qNh9CHVSbtcfR8mK1chtKvij0WVEKuYn7cfTK97Acel9UH8UG1fkw5gIuXVqSOO6jXh+1R7X5zTUoSJfekg8gkJpGIkbEN9nAHDlAr69wgCCiJxN5nE5fPiwXp27fv16fZRWmVjOqHYdMGCAX4+YmJim35H3kIe854EDB/TggYLPGdUKXUbjN9uX4vaNyYiX9gCdn8LHAx5HXsYg4P1KHJM7/dgRmL91GxZiDe7s3El7zT+ienAyktRbtE6GNJ6NrZWrMeLftYBAPqdTPFIPD8b6yhcxrb+0ZbgOt/4sHYsHbMT4G/urLpJERM4gBbUU2lJ4S0Eu87gMGzZMn+jtySef1Adok8HbroW8hzzkPUePHq0HD/JZM2bM0AMQCRhkwDgKrIgeBKmhphATB/wWQ/e8h9Xjuqm1wSEHe6A3fUd+RjC+LxHZizFq6+7du5tGZrWLSZMmIS0tDSNHjtTHf6GOFSHBQQMulT2NgeOrMG1PoWvSIql6eP4ppFc8gModTyFB7wIZPAwOiMiOjIBg27Zt+pwv4eCee+5BRkYGkpOTGSh0kMjJHMiESJv/GQum5aJcXxGHpOzVWPObR5EQd72+JpgYHBCRnUi6/u233253hsCYB0bu5EWfPn30tgQGqYIwJoUT0l7hypUragk4evSo/v/x48dx8eLFdn8PyShIoJCUlMTRZK8B51YIEQYHRBRq0ktg586dWLVqVZvaCkggMGTIEL29QWszyF4LyWKcPn0aJ0+exEcffdTmgOGll15iNqGdGByECIMDIgoVKXS3bt2qNyL0h5G2NxoIumcAgk0aRUqgsG/fPr+rPWQGWwloGCT4j8FBiDA4IKJgk0xBQUGBX0GBBARz5szBuHHjApYZuFZtbR/BIMF/DA5ChMEBEQVLW6oPVqxYgQcffBBDhw5Va8KDBArvvPOO3t3Rn79x1qxZbJPgA4ODEGFwQETBIIMUPffcc3pjQ28kS7Bo0SLHNOKTxpXSPsHX3yyKi4sxceLEkFaT2BWDgxBhcEBEgSTZgvz8fCxdulStackICpxaQEr7BKlu8NWQUXo35ObmsqrBhMFBiDA4IKJAkWzBzJkzvabXnR4UmEmQIAGCr3YJRUVFmDx5MrMICoODEGFwQEQdzZ9sQSQXglLdMG/ePK9Bk2QRpM2CXRtgBhODgxBhcEBEHUkGFZLeBd7q2aWl/ty5cyO+4JMASno3ZGZmqjUt7dq1Sx8fIZIxOAgRBgdE1FHkjljGILAiVQjLly+P+MLOTIKpZcuWea1qkAGUsrKyIraawRmzMhIRRShJg3sLDCRb8N577zEwsCAZlA0bNug9FqzIWBCSaZEukpGImYMQYeaAiK5Fa+0LpNCTWQupddJgUaahtqqSkcyLTFMdadUxzBwQEYUZCQzkrtYqMJDCrLq6moFBG0g3xtdff13PtJhJ40XZlhJARBJmDkKEmQMiag8jMLCqK5ehgdetW8fueNdg06ZNXhsr7t+/H6NGjVJLzsbgIEQYHBBRW/kKDCK9AV1H8tXAM1ICBFYrEBGFgdYCA+nGyMCgY0jhL1UzUkVjJkGDBA9Ox8xBiNg5cyBdfMyztm3fvh2pqalqCViwYEHEpNeIQs1XYBBJqe5gk2uhtDewGjRJggcnD7nM4CBEfBfc9aha8xASF/4t8iq3YEFCV7Ve/Ii6kjmIz+6HyuMLkHCdWm2hvcGBXIgGDhyI06dPqzUtnT9/njOaEQUBA4PQ8hYgOL0XA6sVbO1dLFzw/1BV36CWg0NSk88//7xaaumZZ55hYEAUJAUFBQwMQkgKfwkCzFUMRi8Gp46DwODA7srzsOCVStSrxWCRsddvv/12tdSsR48e+M1vfqOWiCiQpOW8uYpPyPC+DAyCx1eAkJOTo2d3nIbBgZ31fQp5y4ejfOH/wStVF9XK4PCWPZgxYwazBkRBII3erLrUSeNDjngYfEaAYCZZHRmMymkYHNhaT4yd/U/ISzoYkuoFc/aAWQOi4JB6bpk90MzolUChIQGCVOeYyWBUpaWlaskZGByEQJtSULGJmLVmIZJCUL1gzh4wa0AUeHJ9kAmBzA3gZIAjGceAQkuqc6zmY0hJSXHUKIoMDkJg586d6pk/ohGb8D+xJq9t1QsdVQdmZA+YNSAKDplO2NwAUeq6V69ezXEMbEIaIq5YsUItNZP5GZzS/oDBQQj06dMHkyZNUkv+6IqEWUb1wmv494v/pdZ7d/DgQcuDt62M7IE0umHWgCiwDh8+bNnOYMuWLTz/bEaqfczXcZm4ySntDxgchMDQoUPRvXt3vSWy35qqFxYjPatQrbRm1Fc+/PDDas21ycjIYNaAKMDkjnPmzJlqqVlRUZGjB9sJV3LjJNNlm0n7Awnywh2DgxB59tln9QPL/wDBqF74hVq2ZgzYIQU6LyhE4UOqE6zaGci5TPYkDRSt2h8899xzYV+9wOAgRIxuMfv27dOHJfavIYtRvRCnlpvJQBwSbPTq1QvLly9ni2aiMCLnv1V1gtxEkL3JzZgEce6kekGCvXDG4ZNtQIIEI4MgB9q4ceP04KE1EhAcO3YMe/fu1VNZ0s1pypQprJskCjPSE8jcCFHuSOV6QPYnGVu5MTM7c+aMX9dyO2JwYCNSTyV9aHfv3q1HngsXLtTXjxw5Uv9f1NbW6nMeyJ2G8ZoJEyYgMTGRQQFRGLKaHljuRDds2KCWKBzITV56erpacpHrc25urloKLwwObErqqyTqvHLlCk6ePKnWArGxsejduzdiYmLCNiIlIhc5z8eMGdOirYHTZ/xzItmXjz32mH7T5i5c9yWDAyKiELG625QuyEuWLFFLFE4k+zts2DC15BKuWSAGB0REIeAta8Dp0MObDISUl5enllzCcQZN9lYgIgoBGSnVHBhIo2IGBuHN3HNBbNy4UT0LH8wcEBGFwIgRIzyCAxkiWXoecYjk8GeVPQi3tgfMHBARBZn0UDBnDWSwIwYGzmCVPTB3VbU7BgdEREFmlWaWMUrIGSRDYHRFN0gmQcamCRcMDoiIgkgGzDHfRbKtgfNYBXvvvPOOemZ/DA6IiIJo+/bt6lmz5ORk9YycQibYM8/aaDVRk10xOCAiCiLzZGtSP80Bj5zJPGmWtDOR9ibhgMEBEVGQWDVEnDx5snpGTpOUlKSeNZMeKeGAwQERUZBYFQz33XefekZOI+1IZMRLdzJJXjhM58zggIgoSKRgcCcFB7svOpuMgml28OBB9cy+GBwQEQWBjLtvZlVwkLMMHz5cPWt26NAh9cy+GBwQEQWBjK9vZlVwkLNIZshctWBulGpHDA6IiIJg9+7d6pmL9FJglUJkSExMVM9cpFGqjHdhZwwOiIgCTEbGM8/zP3HiRPWMnM4cHIjPP/9cPbMnBgdERAF27Ngx9azZoEGD1DNyOum1YB4QqbKyUj2zJ87KSEQUYFLHnJmZqZZcIuXSW1NTg6NHj6K+vl7/X3Tt2hUDBw5Enz59MGDAgIioXpHREZ988km15JqFs6KiQi3ZDzMHREQBZhSKBvOkPE4j1ShSGMq01DJ9cW1tLWJjY/V2FvIwemls3boVMTExWLlypR5EOJl5FExpd2DniZiYOSAiCrCoqCj1zKWoqKjF0LpOIIP7bNu2Tc+SyGRSqamp6Nmzp/qpNfmdffv24be//a1egM6dO7fV3wlHEvxIlsSddGmUORjsiJkDIqIAsmqV3rdvX/XMOeTvlIJdsiTnz5/HnDlz/CrkpUpBJp56/fXXMXLkSPTq1Sts5h9oC6v5M06ePKme2Q+DAyKiALpy5Yp61qx79+7qmTNIYJCWlqb3wMjNzW3X9NMSJMh7nDlzBvPmzXNkgCBVKu6OHz+untkPgwMiogAytzcQTpqF0QgM8vPz9f+vlWQbSkpKHBkg3HTTTeqZy8WLF9Uz+2FwQEQUQNJK3525S1u4W7ZsmV6FMGrUKLXm2hkBwujRo20/WFBbSLWJu7y8PPXMfhgcEBEFkDlz4KSsgRTgIhCNKyVAKC4u1oMPCj4GB0REQSR9/J1AehmsWrUqoN0ypZri3LlzjqlesBr4yq6ZEQYHREQBZO6/L4P/OIF0P0xKSgp4JkSCj40bN6ol57FqsGoHDA6IiALIPKeCU8h4BlOmTFFLPjTUoapkDTLjo/TxHvTH2BwUltXAszWGNWnLcOTIEVsPGOSvbt26qWf2x+CAiIjaRKoUXnvtNT8G8LmIqrUzkDjnGMaUfasPGd3Y+C2ql/TA3seT8NCaCr8CBBlMye5zEfijPV08Q4XBARFREMl8AuFOxiLwq63Bj1/gg1feRd/5/xsZA7uolV3Q//6pyJwaj/JX/g3VP6rVPsishk4dXtmqq6sdMDggIgoimUsg3J06dQq33367Wmrdlc+O4kR9g1oS3TBudSUaTyxAwnVqlQ+9e/fG6dOn1RIFA4MDIiJqExm7IT4+Xi35cN1gPJY7G9g0DXd2HoLMNVtRUlKOGo9AgeyIwQEREQXI9bgtbS2qKt9FccGDOL3wV0hPH4sBnTshPjMf79dcUq8ju2FwQEREbSLTL8s0zP65HnEJDyJt+mp80NiIq7WV2L4tD/e/Px/JTxSgilkEW2JwQEQURHbt194W19IGIDouAZMeno+XtixGXPm/4IPq1reHNNprSxuHcCKBlh0xOCAiCiI7T9PrL5lWWeYFkC6N3jXgUtkSxEc9gsKa79U6QzRibrwZMeiOmzu33iJRZi900rDT7iTQsiMGB0RE1CYyvbJMP3zw4EG1xko0uoxIxfyk/ch64lkUVdVp4YJLQ90BvLTuj+i1eAYm9rtBrbUmAcjSpUv17ozhLpwmkWJwQEQUQE6bhdEwbdq01kd/jB2BBTvKsWd2d5Q9FI9OaoTETgmv4uqk32Pr8vsR10opJAGIjKkQTgMIeRNOVUoMDoiIAsicDpcUuRMMHz4c5eXlrQ9OFNsf4x5egKJaGR1RPWqLsCAtodXAQLIGUn3h1ABL2HVIZQYHRERBdPHiRfUsvEnVwvLly5Gdnd1K24P227lzpx5cyfwKTmA1GqJdMyIMDoiIAmjkyJHqmYvcbTtFcnKyXngXFBSoNR1HMhIyJfTcuXPVGue555571DP7YXBARBREn3zyiXrmDMuWLcOmTZuwfv16tebaScO9xx9/HPn5+ejZs6daG/4++ugj9cxFpry2KwYHREQBNGjQIPWsmZMmEZLqhZKSkg4LEA4fPoy0tDQ9MHBKdYLBvN/tPHYDgwMiogCyanB27tw59cwZ5O5+7969OHLkCGbMmNGu4EfaLUiAMXPmTLz66quOCwyEuXeHX/NThAiDAyKiALJqcPbFF1+oZ84hGYQNGzZg4sSJepXAypUr9SxAay5cuKAHBWPGjNGrE9577z0MHTpU/dQ5rAImq6ySXUQ1Sr8SIiIKGGnRL13yDNJvPzc3Vy05j2QBpKeBFPoyB0NqaioGDhyofuoi63fv3q3/n5GRob/GSe0LzEpLS5GSkqKWXM6fP2/b3goMDoiIAkwKyczMTLXkEimXXskMHDt2DF999ZVa4yJzCsjQwU4dFtlMMiky0qNBxm7Yvn27WrIfBgdERAEm6fVhw4apJZfq6uqIKRgJGDFihEdPlRUrVmDJkiVqyX7Y5oCIKMAGDBignjUzd2sj55K2FOYurHafK4LBARFRgBkTFbnbt2+fekZO9/nnn6tnze666y71zJ4YHBARBcF9992nnrm89tpren08OZ80vHQn7Q3s3viSwQERURDcfffd6lkzaahHzmZMHuVuwoQJ6pl9MTggIgoC6btvHku/1SmPKezJlNNmo0ePVs/si8EBEVGQSH9+d3JHyaoFZzMHgBIghsMgT+zK6Cdvw4FaTcHpTuZut9sUrTIql/Qx9ubWW29F9+7d1VIzGQbWrgN2EIUDqy6Nu3bt0mc3JOeRwO+WW25RSy4vvfQS5syZo5bsKyKCA/eC/cqVKzh58qRaco3Sdfr0abXkYq4fIu+kYY25r7b7FLXGQCeGXr166S23iSKVub+73QfDofaTCanS09PVksuhQ4eYOQgUica+/vpr/fmpU6dQX1+vP3fvN8wC3v7cAwuZncyYhKRPnz6IiYnRn3OQGHIambnwySefVEsuHBDJmWRIaPdqhXAKBG0XHEjLzjNnzjTd4UvBb6Tuy8vLHTcXOvlH+ojfdNNN6Nq1qz5Gu5GRkCDCyeOxk/PIgDiSQXNn99HyqO0OHDjQouFhUVFRi3YndhWS4EBODin8pdA3Cv9vvvlG7/cb7qSxSVJSklpqnXsKvqO4B1Stcdp2N4IHo90EqzHIjswTMQk7T8JDbSdTV5uvreG0jwMaHEgQIOl/yQBIw7w//elPtiqIjLtRg1VDPaspNSOpYZ5VQ0yZi948iYq54aWdsjxG4CD7skePHnrGgUEDhZLVXWW4NFSj1sl10zxkdrhlhzosOJCNIfX/8v+RI0eCHgS4F/Tud+PuhTtb24eOe5Dh3k7EvUFosAMKqf+TxmGSaZDjhAEDBZO5Plowe+AMVpmhcGtX0q7gQNoFyB8qGQFpBBjIxn9Goe/eYM0o8FnYO5cRTBhZCveqkkAebxIwyOhl0t3szjvv5PFFAcPsgTNZZQ0WLlyI3NxctRQe/A4OpIpAJo+QMaI78uJstFiXAl9S+kZLdd7FUWuMtitGJsLordLRx6cEC3IRD4fuRxRemD1wHqu2BuHYG8VncCBdBt955x29r+a1DvMpkZNx9y8BgNz1s5U5BYrR60UChy+//FLPOnREtYXUGz744IMMFKhDWGUPwvEuk1yctD8tgwMZxWvr1q3tugMzGn9JvT+DALIb96DhWtrHyHG+aNEiTJw4kRkuuiZW2YNwGSiHmsm1ZcyYMS1uQMJ1DAuP4EAulhIQtOViKW0CZCpSmXFMMgNMh1E4kmNfsgvS60IGKfE3w8Agga6V1d2mVGe9/vrrPKbCyKZNm5CZmamWXMJ5/Ao9OJCIp6CgoMWoXVbkoE1LS9ODAWl0wYOXnKitbWzkvJCR75glo/awat1eXFysX2vJ/uR6YR7YSoRz+xE9OLBqQOHOCAjGjRvHix9FHAmeZdrVvXv3YunSpWptS5JFkPY5PEeorbwVLlIFxuPJ/qzK0LAP7oqKiqRawfKxYsWKxurqaokfiEij3Qk0aid9oxYIWJ4zsv7KlSvq1UT+k+PKfDxpN2Y8nmzOqgyV/RbuotQf40FaV86dO5cRK5EXkk3YuXMnVq1a1aJ9AqfgpfaQY+qxxx5r0TiRYx/Yl9WYBiJcGyG6i1b/N5EDUbpdMDAg8k7a2kjKUKoRpDrBXWVlpXpG5D85pqy6vElbMGm0SPYiwdzjjz+ulprJ5ErhHhiIFsEBEfnvz3/+c1CHfCZnk0JF6qrN5s2bp7dLIPuQ7Lr53Jfee5MnT1ZL4S3afNcjUar0u5V0CRFZk7sG6Z1g7oImEhMT1TOitpOMlBQy7qQQkqoFOe4o9OTcNzdAlLL02WefdUwPvihpBJOenq4WPckBOm3aNIwaNUqtIYpscvcm4yBIn2arjIH07GH/dLpWMjrtAw88YHlnumHDBrVEoWA1LoXYv3+/o8pKvSujREG+xjiQiCgjI0PfIBy1iyKNXKilHcG2bdt8dvmV84RdGamjeGvsxgaKoeMtMHDiPmkaIVEuat4yCO7kAijVDpI6veuuu3ghJMeR1K20Nv7000/9nldE7ugkpcjzgTpSaWkpUlJS1FIzBgjB520sCqdmczyGT5Y/ft26dW2aU8E9WOjdu7cjWmlSZJHMwLFjx/DFF19g3759bRo+XI7//Px8Vr1RwHjL7DJACB4pG6UtiLmax8nViB7BgUHSWRKx+jOcshWJpIYMGaIHChIwcPplsgs5yaWHwVdffaVP8dzemRrZHoeCyWp4ZcEAIfC8BQZOr0a0DA4Mkl71Z9hYf8iGlNkaBw0ahB49euhBg8zYyImaKBAkwD137pweBMhkSn/605/alBGwwmHEKVTkWixd56yOYQYIgSPXERnLINICA+EzOHBnBAoylai3ltrtJXdhN910kx44xMbG6v8LZhzIG4nmr1y5ok+9XF9frwcAFy9ebHcmwBs5NmXGxREjRjAgoJBigBBc3hofRkJgIPwODszk4iyz1klkJTPX+dNoq72M4EGmhI6Pj9fXGQEEsw/OIhdAmWxGGHf+UvjLdMqiowt/Mxk6fOTIkejTpw9nHSXb8RUgyLG7bNkyHrMdwFtD0EgJDES7gwMzOWilhffJkyf1u7iKioqABgxWJO1rNIg0shDi1ltvRffu3fXngo0mg0ca+3399ddqCU2FvJA6f0NbGsF2FLmYynHSt29f3HHHHcwMUFjwFSDIjRR7zbSfbNuCggLL9naRFBiIDgsOrBh3gZL6/fLLL/WCIdB3fu0hhYQ798DCIHeSMTExaqmZE6s+JBtkxUjhuzPS+Qb53WAHha2R/WtknWQ/ynNmmyicybVVggCroFoKsVdffZVj0rSR3Mjk5ORYBl2RFhiIgAYHvkghInXGkmmora3F6dOnbVmwXCv3bIYdfPPNN5YHf7iTAKBr164YOHCgHtixlwxFAl8D2MkEQDJ4HbXu8OHDmDlzpuWNa6RmY0IWHPhipKJDUedM9mO0OTEX/oJVRBTp5I7W1xD4rGbwzlc1gojkdhy2DA78YVRZCPd0t3uam4GEfRkFvnCvxjEamkoVDi9oRP7xdecrZKZH6YZLzSRTLeNHeMtWR3rmJWyDg7YyN4wz15+b685FKBrJhQur6hJp5e/OvZ0GC3uiwPJVZy7knM3NzY34bJvcWMqopt7G7pH2BRz1NIKCg45iDjLcWTXYs2K0sQgGc4HtjbcGl4Kpe6LwIePQZGZmqqWWVqxYgVmzZkVko1ypglm1apXXDItkNFevXs0GyxoGB0REDtNaylxI2nzy5MkRUZ8uAxpJJtjX9mDViycGB0REDiTpc5lm3FcWQVLoixYt0oe2d+Ldsj9BARttWmNwQETkYJJFkAKytS7MMgSzzLAb7oWkBEU7d+7Uq1d8BQUSGC1fvhzJyclqDbljcEBEFAHkLnrevHmt9uCSO2mZcXT48OFhVeUgQZC/swlHUpVKezE4ICKKEMZdta9Gee4kmyCTD9l1nhGZ46esrExvaOgrS2CQv2fKlClscOgHBgdERBGmrUGCkF4OiYmJuOuuu0JW9SDfW+bw2b9/f5sm/GNQ0HYMDoiIIpQUtjIVf2uN9sykvl7aJ8iIpTJwWaBmx5WqAukiLv8fOXKkTUO/y3eUaax/+ctfMihoBwYHRETUpjp7b9znOBHmGXG9MYbH74h5dsK1zYTdMDggIqImRjZh7969XkcRtBsZ/VHGKGCWoOMwOCAiIktGoHDo0CG9a6C/7ROCQbIUEyZMCGkbCCdjcEBERH6R3gGff/45KisrUVFR0e7Uf1tJ+wEZqEmGg5c2DhzSPfAYHBARUbtIZkFmxzXmlfnoo4/09e2dEVeyAcKYqTWQjR3JNwYHREQUML4mq+NsrfbF4ICIiIg8RKv/iYiIiHQMDoiIiMgDgwMiIiLywOCAiIiIPDA4ICIiIg8MDoiIiMgDgwMiIiLywOCAiIiIPDA4ICIiIg8MDoiIiMgDgwMiIiLywOCAiIiIPDA4ICIiIg8MDoiIiMgDgwMiIiLywOCAiIiIPDA4ICIiIg8hDw4aagqREhWFKPNjbA4Ky2pQr16nvRKXypYgXn6WUoiaBrXaURpQX5WPsVHxSCk8ri11JD+3X8NxFKbEa/vgERTWfK9WdrSvUZaTqH1GIP5OInffo6bwEc9ri/6Ix9icQpTVXFKvE04+Li+h5v18ZMarvz8+E2ved7++doQQbb+GOlTkZ7qubWGz75qvx/E5ZdresR/7Zg7Kc5E1Ph1Plfw5cgqP+kq8siAP5WqRiAKlTrvEZGF80hKU/OUHtc6ppCBahaTk+dhUp1bVbcLCZCdcX7W/rfwlpM7fpO1R6kj2CQ6SC1B9tRGNjfL4FtWla5ERdxSFc36P8kty+Eajy7iVqJWf75qO/o6qEPkBdVWbkfNQKhaWB+oQt9P264Zxqyu1/VyLXdMH2jhCJeeI0y4xx3BVv75oj8vVKM3LQFzdy5izbr+6c3PocdlQg7dWb9QKz0GYXnxK2wZ/xdni2doW0a6vv9+DEx0WHYR2+8Vl78G3vKZ0GJtuwy7of///wtLlk7UItxS7Ki9o66zS4qZUmaRoMvPxvkeq0P01KcgpOYQqPc1opJ/c0juZy7Aqc7D2s0TklH0N1Nfg/TVGukoeg5G5Zhdq6l1nU1OVSPxvULhrnfoM7TX5B1DXoH1uyRKM1X/uO4XXULMF0xIzkFs9Ftnzk9Vad0Zq1HfKrKGuAkU5Keq7qs8tqdK+i/5T62oF979R/55HIVvbk2k7j81BUVWdl+9hpBbVNjRcKkOO/L7+2Vbpxwbtq+zCGn37y+do+6qoQn134/XNVR3N234JyvTg0dhGps8lshLbH/fPX4zlyXGo27wblfoxZHFctnIN0Lm/ZuwSlBz/yFQ1Z7yv9rurlrnOI/24/dF0zMt692tFc5VI/D8WYpeROtdek1+hnX/1x1GizveW1z039bWo/ky76Yh7CL+a0Eu76F+PuEHDMVj9WNdqdaIdz2v52f/AjeNf0LMGdbnjcaP+Xme8bG95P+1aVlaInLHyt5q/j6ZpOyTiHwvfQr763vGZL6Oi7nvtbylRv2txHHgw/93yHbyUAz+ewsdFOa6ywvx9dL6+sz/7RVb42g9eaFF0SF2tLmjUisNGLaxvrNbC+mZXG7/ds7gxTvuZFhE2fuu27Hrt1cbLlWsbk2TZ/Gh6r782ahGy63eaHn0bk5IStP/jGrU7Ce1d3d636ZHQmL2nprEy7xdu64yH8Xtu373FY1DjlIxU03tObiyo/k6+VAtXqzc2Ts/e1FhZ+21jdcFk7bXNn+HynZf1bq4eayxIjnP7POMxqFG7W/D8O43tc/VUY/H0QRa/Iw/j+1ptQ3n8ojGv8hv9oz017xfXfhPGexjf/1zjnmz3faD91tnixulx5s+Ia0zK+7jxctN3l/1yTnu1sT3kNcb3VO8Zt7hxz7eWW4gikq9zxzgOjePKfFx+0+o1wPIcivt5Y9LP5Vw0HZser9GO07MfNuYlWZ2zxu+5H+emR1xqY8YU0+e2uIZ6Yz4fNU3XD2/XKTue11bbR37vtPX2/va8l/2p/U3TixvP6l/Y23VUe82UjMYpHn+L2/Yzu/xxK/vWqtwxHsb2Ed6OQeM7+7NfWtsP1sI4+xKN2IR5+MBIE2oPbQNA2wDAZydwViK6hpPY9fsSPZ2WUfAZtI2Aq7W/w89Q63oLs7jZKD77VzRe/Tc8M7IvEha80/Te2gZXqbg6fFZda4r+krF4z1loFxNoO1JbPoqt79+G9fp7HYN2sGnrTqL6rHXuILp/JgpWT0VC3PVqjdkN6D/9Te07+EiZNd0dLIZ2Erl9789QkHaH5e80nNiD3xce1X5nOgqOfau99iouH9uIDPm6BmMbGtum6TXvYu2bB7WY1kzbL8MmYqr7HVnTfhiNR0f3tvgu3+PErj+isM5Ie2rf+7L2vTNuQfna7ajQPiS2Zz/tTqcKm3d9qn1mPc5Wn1S/ux9v7D+FhkufYtfmKmBwP/SMDePDmmyka6vXgJbn0F9Ru0W7ZfjQunpQu6BDK4RwtWYJRt72Myz4oLb5/a+eghZoaK+yuFYkPYc9tdr5d/ljaIWOdpu8He/fsMz1XtUF2hVIY1z3fPoBdWUv4PH0l1GXtBArH+nvOh+jB2L6Lvkub2J6/xv0V3qy43kt18U/QitktX2ibVu9WkG+/09dP9Z4bG8cxptr39VWZmDtx7X697laW4rF2vasK1yJdeXumYk4JC0uRe1V7XpXuRZa4Yu6rQdxw3r5O76DFpTIGouyQIkd0fZ9K8fOnue0z6pT20fbxpcOtvKdL/ixX1rbD9bHTPhfRetrUFZSgpKSDVj8+BxtA6j1wi2dlvnwXYjVVkXH3YdpU0e7fm4SNzUNE27TCujoGMTGyKaRVEy59t7a+xc+4zqhXC/1FJeACYlx2sa8AZ1vjnGtanqvbug9NF5fF1BdhuOR+VpgUvcCxt/YyZU2KnwLJR49Ptxpf9vZE/hMexY39Vd4eGAX7Zl2Aeh/L8YMbo4OGk58iDdKtb+67mWk9/yJ9r6d0PnOaXrDpuZ0rEl0b4x+VNvGqkrIeI+47Fl42OrC03AK+9/Yrz05isL03ugkaa/Og5G1SbvoqveI7vdzPGqcAGcO6RcMLZLHlDg5Qc/gL5W7sbkuDsmP/hz9wv+oJtvwdQ2wOoeuR1zSo/rFuqUETP3Vf8dt2vEZHRsL15VCUsZva+//FgoXz0S6BBoW4kbch0S5eYjpgpv1ewi39+rRG0OtPq4FV2AwZfxzKJdg5ndZSGhLIB1257X79o7Bj/p7yb7KRNYIuV5r65vKg1ocPvW1tkcN8RgxYRjioqMR0/lGba9q3KplevTupwckvrVx37ofO3UncOrL73HJn+/c2n7xYz9YafPmDp4f8OWpE9qJqO3glLshp50n7cSUbn+dk/D8x+e1IH8Mnnl7C7L9Okn8cRFVa/4BnQe8gI8vam8/ejHeVhGqPcldzr/gcvUHKC7ehoJsIDdrMtLHJ+GhNRVeAoRA0SL6h2dp+0LuCD5C5f73UOp1P/qp6QQ4hoo33tZOGO39snKQNTVBu7C8jTcqjrlFykR+aPgapw7XalfeZKQk3qxWugvwNaC+AmvGDsSA5z/UPqkbRj+zGXuyE9QPO5opMCjLx3Q9mGkLntd+C+q+DcB+0dh0e2sHckUBVjy9zceJewEVb/4B5bgFfe5NRuq43rhcuQ8VzWE9EBuPAXIXXLcDRW997koD1u3Dxs0SRbWiKZ3z97g35ZcY1+8/Ubm7yjpzYBty55+EtLSHMX31LpVudEtRedBeq6f0tM2z+Q9467hUEGjbvXIP9kq2RWm6K2lKm6o0mTxqV2JcFy+HUJe7kaKf4C8gp0Db3l73o6Ypu9Jc/dP8OZVYPa6b9rMb0G/0A9rfsx2LF2p3b/r79UdiSrLe4nzh4u1A8gMY3c8qJUpkIn3jX3wBT8sd1tQJSLQ6jlu9Bng5h8rfwGbJtvnUgEsV27G2XPv8PvciJTUJ/S4fwe4KL1We10RupF6+xsBACdvzOhpdEidgqhQHm4tQIA06tbXN5cFw3D+kRwcViG3bt5bHTlw/9O5xg//f2dd+8Ws/tGSf4KA0CwM6SStKefwE8ffOwSapI1n/BJK8FUA6I1Wi/c74HUBSX7VeE90HKU+kaZH+UWzKGozO2nt3il+Jv9w+QL3AD0Y6vVNPjN/7A6S6L/j86K1gtE7Vt5/r0WlAlhZBxiFpfipGWGzD6P7/gByJZusKkXXnjW7bXb1AdBmNuetnayeq8Rrj/eMx1mdG4mZ1gn+I8g+183t5ho/92A1Jc5dgelzzfmr6nLH5qFL1qEYKUqfXQV7XdHHWzgZWKZAPddol5k5XSlUeneJxr/SNj5uN9XNH+77D8nENiO43Hk9IXbL7OfR8DW5vw4WirjAdPbVrX6f4TOzFf+v47GRDDd5cosZPMZ/HRit+vwc/C+PzuqnqdRPm3xuvHwud4pPxgrZhkhY/hV8N66pe2HH82rfux44EcPI3G9vV7+/sa7/4tx/MbHspjcvIw7Y9xXjRS2M6vU/tM1tQnK26/ukNNrbhd1OHaxvyUxz8D4nErsdtaStRXrxYb1Diek0hFo/pLku+dUnCM+XFyFYneVzGenz85j9j6uA41FUcwX+02vAnyPTvuwcFxvbQJSN743ZsnT9Cb2/RkmzDra7+3vqy9vptf0SeR32p2ob6uBNqVavvK7RIPSlD7yoGP9KC0bel4sXy95CXIY12hBbUZG9C5dbZzfWiRgrS7YLRfGFhlQK1hXYXlfdH7ClfiTRpG2TFn2tA9B1Ie3Fb03VIf82WbIzx8pbNZNyRRc3XJvk+a7fhzd9laYViLSoOnuywqsCmdkMdIpzPa6l63YrqPQVN+7TpWrb8fsR12MWjbfs2bn4B3lvrdg3Wvs/GaUbDc3+/s+/94td+MIlqlNyCU0k0PHEcsvTGGXtwfPU4dGn4M0pm/BLphT9B9p73vKZUiIhaI/3yJ+oZuoSm60nDX0ow4550aLch2HN8ufeqNyIbc3ZwgB/wl5L5uMeql4F0zftkrfe7BiKi1jTdbLRsiS7d6D7ZkKa3licKNw4/bK/HbalLsaM4z6PvvlRZFO9YilQGBkR0LaLvQOryjShuqpoTUmVRjB3Lf8nAgMKWwzMHRERE1FaMa4mIiMgDgwMiIiLywOCAiIiIPDA4ICIiIg8MDoiIiMgDgwMiIiJyA/x/5idpaGjovFwAAAAASUVORK5CYII="></span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">While the magnet is moving towards the ring, state why the magnetic flux in the ring is increasing.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">While the magnet is moving towards the ring, sketch, using an arrow on <strong>Diagram 2</strong>, the direction of the induced current in the ring.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">While the magnet is moving towards the ring, deduce the direction of the magnetic force on the magnet.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>A capacitor consists of two parallel square plates separated by a vacuum. The plates are 2.5 cm × 2.5 cm squares. The capacitance of the capacitor is 4.3 pF. </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the distance between the plates.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The capacitor is connected to a 16 V cell as shown.</p>
<p> <img src="images/Schermafbeelding_2018-08-13_om_13.59.46.png" alt="M18/4/PHYSI/HP2/ENG/TZ1/07.b"></p>
<p>Calculate the magnitude and the sign of the charge on plate A when the capacitor is fully charged.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The capacitor is fully charged and the space between the plates is then filled with a dielectric of permittivity <em>ε </em>= 3.0<em>ε</em><sub>0</sub>.</p>
<p>Explain whether the magnitude of the charge on plate A increases, decreases or stays constant.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>In a different circuit, a transformer is connected to an alternating current (ac) supply.</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_14.19.37.png" alt="M18/4/PHYSI/HP2/ENG/TZ1/07.d"></p>
<p>The transformer has 100 turns in the primary coil and 1200 turns in the secondary coil. The peak value of the voltage of the ac supply is 220 V. Determine the root mean square (rms) value of the output voltage.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Describe the use of transformers in electrical power distribution.</p>
<div class="marks">[3]</div>
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">Three identical light bulbs, X, Y and Z, each of resistance 4.0 Ω are connected to a cell of emf 12 V. The cell has negligible internal resistance.</span></p>
<p><span style="background-color: #ffffff;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMQAAAC2CAYAAACGTCKhAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABSPSURBVHhe7Z0NcBVVlsdPKMvyM6uoW74AKpIiaMVFISooFg9kg5QrUmGdLR0JmcAWu5hyNtSED2sHcVdWlkeFGgSZKQwF4scwVEJwZnSSgSwUcQowgMxYRlJIoSRhLBUwQR1wkrv9b/pmrs/3+vV73f1yu3N+VFfo25281/fc/zn33r4fOcKAGIYxGWT9ZBjGgAXBMAosCIZRYEEwjAILgmEUWBAMo8CCMLlAp5qeo0n5q+jgX60kky5q+/1qmp2XQzk5OO6g2asaqO1cr3Ud/IXaNv6AcvIqqK7jgpWmkvw6/iajFywIiOHABlr85DLabaVcpJe6mlZQtPh3dOPaVuoWgno6q2nIb39E0R/XU0efJi6j/AkPUfGpOvpFw3Hjt+LoPUHNW5spMquEpgy51EpkdGVgC+JcG/1+1b/SA+u6acKsYitR0kE7N/+KTpXOo/8oGUVXGSmDIg/S4p+WEW38JTUc+8vF2wwGjZxOixbmUePWP9CxOEX0HvsDbW3Mo1lT/4FyrTRGXwa2ILrfp1/+aTL9Zt0C+qd7h1uJkmFUsvkYic0lFLFSkjOYiqYWU6Txd9SsCIXoLB1+s44ai+fTnOj1VhqjMwNbEJESqtk8m0Zd5TQbTlNLQyOdiuTTLTeq1Z9BlBstpeeLD9GWN/9I56xU6jpEv6o+RMX/ch/lc+U0ELCZHNNL5w5uof9eeZ7K186jaG5c1g26labOe4iOVtfTgS7Um4w2SMtO2kJltOifR3JGBwS2k0N6O+rpx49spJtq3qCfldycIOMupSFTSmgWNVJDy2nj/GI0oVlTqChePIy2sKVSYkSGtjpa8uRCOl5WTSvKCs0GdkJyx9APFtxIWxr+SGfb3qT/XXkrPT/nPm5MBwgWhC1d1Fb3n/RIwbP05+mb6fXn/5Eitjl2Dd01vYTu2FJHL9f92mhMP0QT8i+zrjFBgAWRlAvUUfcMRWduIorV0LrK+1OI4SKD8h+kedP2UNWSk7Rw0XQayTkcKNhcyehqpjUV6+iU8W931b10tfmmWh75NLvupHVjHIOG0ZQfPkKRSDFNLRpsJTJBgWfM9SMQl132p7rOeA9HCIZRYEEwjAILgmEUWBAMo8CCYBgFFgTDKLAgGEYh5XsInuboL6neQzD+kCzfHQkixS1MhvCLuf7BLl+5ysQwCiwIhlFgQTCMAguCYRRYEAyjwIJgGAUWBMMosCA0ht9BZB8WBMMosCAYRoEFwTAKLAiGUWBBMIwCC4JhFFgQDKPAgmAYBRYEwyiwIBhGgQXRj/DQDP1gQTCMAguCYRRYEAyjwIJgGIXQCKL31EGqWzWb8nLkLj95NGnRRmpq67LuYNyBbYlX0yQjb/Pm1FEHdh7uA9uPVRh5P5Weaeow7gwwIgUObul/uveLWDQiIqWbRGt3j5V2VDTGSkWEHhaxljMX0xiXnBEtsYeNMlEoymtPCCunRU97rSiPREQ0tl90W2k6Y1emQyGIb1tiYgRFjYIfZ44vd4mFERIjYi3iWyuJcUnPCVFbXigo8pSobT/f54woWi1apDPSnAEiiEJRWvOnQHiooHMxIpCIlK8X214wIkakXNS0fmld1Z/QC6LPaxnflSKlIratVtTuOsri8I3zor32KaM6auR3XPUpCNiV6XA0qgfdTCUbGqmlfhvVzPozVT02k2Y+WEBX59xBs1c1UNu5QDfzNORSitw7maYZiqDIRHr43kh4emcsYSTFwS0acl50tvxWbDMb1cFp7AUGGZHvi4qoUXUKUvsB2JXpkApC8pnYtXCsoBEx0cKtao/4UrTWlFu9d59aVadgOR27Mh2CSPc5NS0qopypG6ntezWjy+jvbriaaMRguppfQXoA3kXU0L/PeZsKYkvp38b+PQ2ZUUVry6+j3VX/RT8/eNa6L8BYwkiKg1v6mR7R3VItovBSC18RLZ3nrXSj2rR/rSiNFIslu9oD1ejTliRdrD2djWJJgLpe7cp0CAQBDFEc/T+rzYCej4tHpDQmals6WQxeEP/+4TsoTikAVSe7Ms1bajEDDt5Si2EcwoKI47333qO2tjbrjBlocJXJ4ptvvqHVq1dTfX09vfrqqzRy5EjrChNPMocxbNgwuvzyy60zfbEr0ywIg3feeYcqKytpxowZ5s8gGDWbtLe3U1NTE+3du5defvllevTRR7/nMM6cOdN3bcqUKTRhwgS68847rat6wYJIwunTp2nFihWmx1u5ciVHhTjgKDZt2kRHjhyh0tJSs5AXFBTYOgwpnrq6OvMcvzdt2jStnIxtmYYg7HBwSyBpaGgQd999t9i8ebP4+uuvrVQGnDx5UsydO1cY3l40Nzdbqelz9OhRUVVVZebz4cOHrdT+x65MDzhBfPHFF6aRYGwYjPkutbW1ps3x0ysgBohi+fLlWjgfuzI9oHqZEMavu+46GjdunNl45irSd1m7di298sorZEQIKikpsVLdg7bEnj176OzZs/T000+bHRi6MiDaEKjXPvfcc+b/n332WRo6dKj5f+ZvLF68mPbt20dvv/22r/X9BQsW0LFjx2jr1q391q6wK9OhjxCICugORMNuw4YNLIYEIDJ8+umnNHz4cKqpqbFSvQeNdKNNQvfcc4++kQIRwg4Ht2gJ2gdoJ6C9gHYDkxg0mlG/R90eBxrTL774onXVO+TnoMEOYBc/PscJdmU6dIKAUdFzhMxHTxKTHDgK5JPaueCHKOLFAPA5SOuP3qcBIwiOCumBQp+o4KOwIh+9EEUiMUhwDZ+TbUIvCBgQXXrIeGQykxoZHZB3iUABdpufdmKQwHll22ahFoRufdxBAd4fVUs73IjCiRgA7JftKBFKQahRQae3oEEB+eakWpmJKJyKQQJBOL3XC+zKdCC7XRsbG2nixImUm5trvvDRdRCZrmCI++jRo2nw4MFWSnLQTY2uawx6RLdpKuRASfyO0y5uvATE+CctsISRFAe3ZA14NB524R5UlVJVl+KBB0dZsIsU6UYGCSI8erayhV2ZDowgeDCed8CpZFLNRIFHeUhU4DMVA4A9s1nOAi0IZDAMCA/CUcEb3NTZExV8N2KQuP39dAisIPwYecm4t6kqAC/EAOD0suXwXAuivw5EhWx5DZVE3yVsh1sghNtuu00YjXNPbJToO/p5JMNRL5NxX9YPw1v022C8RN8nTIeOGBHCtHmi7+v1YYe23a48V8Ff3Iw0lV2r6P42orjZbarzHIe0MBRji4NbmIDhpoMiUZsBb73xN930/qGcZav30K5MD6gZc8xFMO/hs88+s86ck+ylW0VFhfmiL9M5DljswRCZFgsRsCAGIEVFRXT48GHrzBmp3kC7EUVra6u5BJAOsCAGILfffrs5d9opTodjZCoKDL+BSLXAqjolxcEtTADByzknb6vTfc+AdgDaE3iv4AT5ljqb81fsyjRHiAHK/Pnz6fXXX7fOEpPJQD20A9asWWOu5Ie52qnAogbLly93NNAwK1jCSIqDW5gAAs8Mz5+st8ntG2gZKexm3aX6Dn5hV6ZZEAMYDJhMNDnHq+EYqUSBdMxpyTYsCCYpqOurQ8G9EoMkmSjQfsHn9MfcdxYEkxQ5txpC8FoMEvkZUnj4+zjPZAi6F7AgGFtQh4edMVjPazFIpAi2b99u/uzPEcwsCCYlu3btMm2NKOEXBw4cEEOHDrVtaGcDFgTjCEQKWbVB3d9L5IxHHRaPsyvTvIMQ8x3UTWSWLVvmegEHLDSN9xI6bUpjV6ZZEExC8FIuFovRDTfcQGVlZTRmzJi0Bt9hZY+33nrL3HYAK4vrtIsQC4LJGAgD22ph/zi8UR41ahQVFhaa16S3RxQwqlh04sQJMxJgnFReXp6W22kBFgTjGlSlMCoVo2Q/+eQTs+Dv2LHDvGa0DSgajdI111xjDtLD4EGnQz36AxYEwyjYlWke3McwCiwIhlFgQTCMAguCYRRYEAyjwIJgGAUWBMMosCAYRoEFwTAKLAiGUWBBMIwCC4JhFFgQDKPAgmAYBRYEwyiwIBhGgQXBMAqhmTGHKY6ff/65+X/M7b3yyivNCfKA96vzFkwfBdiF6KuvvqJbbrnFPL/++uv1WcXbhtBOIcXKDs3Nzeak9nfffdfcyRLcdNNN1NXVRWfPnjWXZccE+blz59IDDzxAkydP1nq+r45gEYGmpibau3dvX15ee+215hzq3Nxcc441wCodmF+NxQUmTJjgegkbvwiVILAzDfYUwNpB2K3mscceczSpHV5t37595l4HAOK5//77zf8ziZFL0QDsNDpu3LiU0Rbi+eCDD2jbtm105MgR7ZagAbZlGoKww8EtWUMuxosVq93sKYC/g2XgsSp1tvcmCALIE+QN8sjN0pb4O7AVbObnEpnpYlemAyEILKuIfQRgIC8LsFxesT8X3tUN5AXyxMslJ2Ez2A429HqJzEywK9Pa9zKhsYxN/MAbb7zhaQO5uLjYrEKhCuZk+6ewgzxAXiBPkDdeAZvBdgC2hE21xRJGUhzc4hvYV2D48OFm+PYTeK2JEycKo11ipQw8Zs+eLQoKCnz34JWVleay+/0ZKezKtLYRAo3nRYsWUXl5udk4QwPPL2pqaszNzD/88MMBGSnwzGhojh8/3swLv4AN0Sv4xBNPZLzJu+9YwkiKg1t8AfVNuf+Y3GzDj4YZ9ipABILHwuF1/Vl3ZDtKPj/ywo/9G2A7fI7ckAWNbWnfbGNXprUUhNx/TA2rfohCFYMEDUB8Tn/sfZZt5FZXakeFH6KIFwPA5yCtP7bVCpQgkFHokUiUUV6KIpEYJLjmh5fUDXhodcNFiZeiSCQGCWwMWyeygZ8EShAI4QinyUAG4zu56X61EwNAOowY5ighnUuyPIjfKDET7MQgga2zXUUNlCCSRQcVJxmdjFRikKAghDlK4NlSFXY3EdmpjWSUyCaBEUQ6mZOJKJyKAUgPGVbwbE4iYCaiSNc2sLmXL1xTERhBwGOlE6LTyfh0xCDB/amiVRDBM+HZnJKOKDJxVOna3S2BEQSMlK6ncGKATMQAsm2obIFnSne4ihNRZCIGAJunI1C3BEYQmX4WDAxDJKoCZCoGAE9q18APKnimTCIfCi5slEgUmYoBwDa6lDNtBIGMdNO4SlTw3YgBuP1OupJpwQWJCr4bMUjc/n46BEIQ8D5uvbEqALdikGTTc2ULt8+kCsALMQDYPlsNa9eCyObhFghh/PjxoqyszLUYQKLvGIbDLRACBumNHj3aE8+e6Dv6eSQj5eA+456sHIZ36JsC6hYMVPOSRN83yIeOwPYoA4m+rx9HMkK16gZGbWJk7M6dO+mSSy7pm0eRKVqOxvQIN8+GUauVlZXU2NhIS5cuNaeXYuqoGzD3XQsMtWgBqjduvk58mwE/cY70TPGiXaMjyJdM6+uJ2gxetNdgey+quG7RJkJgErqR0RnNppKRYc2aNX2T2fET50jPdI4DlrPByhJhA3M/8GzpIiMDZtSpizpUVFSYCz5kOscB0QW212EhAq2qTDNmzKDW1lbrzBmJxCBxKwqs1FFUVGSdhQc8k1xbySnJxCBxI4qPP/7YtL0WWJFCCzDqMZ1JI05DdabVJ1QNwjjiFdUdPJtT0ulazaT6BJvrMilLK0Gg8EGjTgphuhmP+2BUp6JAIcDfDyt4NjxjKtIRgwQF3Klt0rF5NtBKEACZmWqcTSZeCEjP6KQgoDHt5L6ggmdL1WGQiRgA7AL7OIn2sHW6kdtPtBMEej9ghGSFPVMxSJyIItV3CAN4Njxjst6mTMUgkaKwK+ypvkN/oJ0gADxLIu/iVgwSO1Hgb2P8kp1gwgKeEc8an59uxSBJJQrYWKfoALQUhPQc6ohMr8QgSSYKfE4Y3z0kA8+qDnH3SgySZKKAbfE5XtnTK7QUBJAZBsN4LQYJQjUadFIUsjCEsWcpGXhW6Ri8FoMEdkMkkqKQziiTIeh+o60gALri8vPzxeOPP+6bJ5GFYPv27b4UhiCAZ4ZjwGA9v55fiuC1114zf+rSzRqP1oIA1dXVYuzYsb4W1PXr14uRI0f2RYqBCJ79rrvu8jUPDhw4IIYOHar1LETtBQFgJHgwr70Kog7C+ECNDPFIL4488Toiw3Zq9VRXAjHaFRubGMail156iRYuXJj2sINEYCiCURUzd7/Zs2cP7ypkgDxAXiBPkDfII7fAVrAZbAcbar9JjSWMQACvJfcvQO9Iuo0y/D48FBp4A6VrNVPi8yndiAHbwEawFWzmdcTxi5RbaukIBo9hvzN4nc7OTnNg2KhRo6iwsNC8PmzYMPMebMJoGIKOHz9ubqeF7aEMI5FhZN5OyyGIEjt27OjLO2yrdeutt9IVV1xhbrKIAZTw/OD99983V1Cvr6+nvLw8mj9/vrmvnw6jWJ0SSEGoyD3NEJrjN/+LRqPmOYQyYsQIGjNmTKCMoxNwMIcOHaKPPvrILPhg9+7d39vsEpujYDRtEHYjTUTgBcEwXhKqKaQM4xYWBMMoBF8QvR9T3Zw7KCevguo6LliJkl46d3A1TcrJo0mrDtA5K5VhkoI2RNDpaa8V5RESkfJa0d5jJYKeVlFTHBEUrRYt3eoFJjM+EbWlI8wXbImPeaK281vr3mASCkEIcV601z4lIlQoymtPiItFX6Y9LGItZ8wUxg96RHfrJlEaiYjokkbRGXC/ExJBGPScELXlhYIiT4na9vNW1DCMFNsvuq1bGB/o3i9i0fBE4fAIwqCv6lS6TLxQaoiDq0r+0ueEykVN65dWYrAJlSD+Vk1CfZarSv6SqJoafELW7XopDZn+I1owwvhvaTn9cGz4FhnTA/TeraMnZ9ZRwZJqen7GzaHpv+f3EEz6nGuhn/8kRrujVbTqmQcpEqJSxIJg0qO3g5r+56dUdXQa1ayfQ2OvClcRYkEwaXCBOupfoCdf6KTytUupbFSulR4eWBCMY3o7fkNLK8LXblDh0a6MQ/5Kp+oqKG/mL6zzREQp1vJr+snYq6zz4MGCYBgFrjIxjAILgmEUWBAMo8CCYBgFFgTD9EH0/5sAW3TVWJIJAAAAAElFTkSuQmCC"></span></p>
</div>
<div class="specification">
<p><span style="background-color: #ffffff;">When fully charged the space between the plates of the capacitor is filled with a dielectric with double the permittivity of a vacuum.</span></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">The switch S is initially open. Calculate the total power dissipated in the circuit.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">The switch is now closed. State, without calculation, why the current in the cell will increase.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">bi.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">The switch is now closed. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{Deduce the ratio }}\frac{{{\text{power dissipated in Y with S open}}}}{{{\text{power dissipated in Y with S closed}}}}">
<mrow>
<mtext>Deduce the ratio </mtext>
</mrow>
<mfrac>
<mrow>
<mrow>
<mtext>power dissipated in Y with S open</mtext>
</mrow>
</mrow>
<mrow>
<mrow>
<mtext>power dissipated in Y with S closed</mtext>
</mrow>
</mrow>
</mfrac>
</math></span>.</span></p>
<p> </p>
<div class="marks">[2]</div>
<div class="question_part_label">bii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">The cell is used to charge a parallel-plate capacitor in a vacuum. The fully charged capacitor is then connected to an ideal voltmeter.</span></p>
<p><span style="background-color:#ffffff;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH8AAABnCAYAAAApOJ3lAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAYKSURBVHhe7Z1PSBxXGMA/PUUpUrUX1z94EJOD9Q/RHopESWzUSxWNTTHVQyKkFE+laxR6dMH20IPrwYPx0FitVRcpFt2FFEXJQRdXrWBWPFjX0JNKQll7qdP9xrfU2jHuzuo6733fDxZm3sy8Gd7vvXlv3rw3m6CFAIYkZOVvbm6KpWPy8/PFEh1IyN/f3wev16v/JicnYWlpCdra2iA1NVXffnBwAAMDA1BWVgb19fVQWlqq/9LS0vTtyoLyVcXv92t2ux0zt+ZwOLSFhQUtEAiIrf9nb29P3wf3xWPwWIxDVZSUjxJRXKgkaxMTE1owGBRbIgePwWMxDozrbZlGVpST73a79VJrVvppwpkA48S4VUIp+U6nUy+pl1FKMc66ujr9HKqQGMrRStDX1werq6swNzcHWVlZIvTiwDhHRkb0c+C5VEAJ+WHxvb29kJSUJEIvHowbz6FMBhB3AGnB1jne6i+ifo8UPBdWAbK3AaR+zsfn95qaGhgaGop7J83u7i5kZ2dD6MlC2v4AqW/7PT090N7efiW9c9gGCD0F6NcgK9LKx+7Z2dlZaGpqEiHxp7a2Vr+G013FsiCtfI/HA52dnZfawDsPPDdew/j4uAiRCynr/MPDQ0hOTrZEfWula4kWKUv+8vIy2O12SyQ2ln6HwwEbGxsiRB6klO/z+aCqqkqsRcjRSxistoHtkQteHYmwk5y3/S3gG0DsXJINKeVjJ0tubq5Yi5DEXCi/Xw5/DP4I7q2/ROC/HG29gFGPDVoe3ILMKFMFr2VxcVGsSQTW+bJh+rJfP9c6MjK0u083tL9F0DGHmv9pkwYZXdrz1//dEikyJqW0rX1TpBRCdYsNPKMvYOvkrf3PNfj52TLc7W6FyhTzSYKNP5kwbO27XC6xZE0aGxuxmIm16DjaHITa6y74yDsEX918F0Pgza9fw407W9Dt/x4e5l873jFKEhISxFJ8wA6maGloaBBLxxhmc0xcVUnMuwOPH/4O3/20DG/0kH3wuj0AHZ/DPZPiERwW5vf79Ux52T8z4o2cGpZ8zMUGwZYhtusTJf0zgKGX3XAbZuHJjY7Qygx8c/s9sU/0yJhm0tb55uvXREj5oB6+vD4Hbu8r2Bzvh2/f/wIeVZoXLytSyscOnkAgINZM8E4hfNySCc9++QFco6GG3v0PIS+GlMC+fbzty4aU8nNycmB9fV2smeEa5FV/CrUjXdD12yfw5F5+TAmxvb0NRUVFYk0epJRfXl4O09PTYs0ciZm34EHLTchoqYLSGB7vkLGxMSgpKRFr8iBlgw/r+4qKCpiZmbny/n0cUJKeng7BYPBK3zCehzINPkzk1tZWGB4eFiFXx9TUFDidTkuLPwspSz4SLnFX+So1PIzMCneg81DqUQ8TG0tcf3+/CIk/eG68A1ld/JlgyT/NGcGWA0fR4shdHMEbb3w+X9xHDceCkVOp5SNhCfGcS4fnwnPiuWVBSfkIjp+PVwYIi8f5ezKhrHzkMufphQmLl3G+ntLykfAd4DLaAOGZQbKV+DDKy0fwYwooCefU4zz9WME48GMNGKdMdfxpjJxK+6h3Fjh7BwdTFhQU6P0AOKESp1ZFCx6Dx2IcKSkpepzFxcViqxpI28kTCdgJgz1wKNFms+kjWQoLC/UXQ6efzXHfnZ0dWFtbg/n5eX2QKD7DNzc3y/scfwIjp0rLP8nKyoouFt8G4hQr/CjTSUK3daisrNTvGJhBlCvllOVTx8ipcnU+EzksnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAk5OM8tWgxc4xscMknDMsnDMsnDMsnDMsnDMsnDMsnDMsnDMsnDMsnDMsnDMsnDMsnzJlf4LyIf2m2Cma+KGo2DayK0T+PG5Z8s//SjAlmxR9j7NSw5KsGZgAzJV/1pOE6nzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAsnzAkXukyxnDJJwzLJwzLJwvAP+Q0RrtY7nhtAAAAAElFTkSuQmCC"></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">The capacitance of the capacitor is 6.0 μF and the reading of the voltmeter is 12 V.</span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">Calculate the energy stored in the capacitor.</span></span></p>
<div class="marks">[1]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Calculate the change in the energy stored in the capacitor.</span></p>
<div class="marks">[3]</div>
<div class="question_part_label">di.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color:#ffffff;">Suggest, in terms of conservation of energy, the cause for the above change.</span></p>
<div class="marks">[1]</div>
<div class="question_part_label">dii.</div>
</div>
<br><hr><br><div class="specification">
<p>Two equal positive fixed point charges <em>Q</em> = +44 μC and point P are at the vertices of an equilateral triangle of side 0.48 m.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="specification">
<p>Point P is now moved closer to the charges.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p style="text-align: left;">A point charge <em>q</em> = −2.0 μC and mass 0.25 kg is placed at P. When <em>x</em> is small compared to <em>d</em>, the magnitude of the net force on <em>q</em> is <em>F</em> ≈ 115<em>x</em>.</p>
</div>
<div class="specification">
<p>An uncharged parallel plate capacitor C is connected to a cell of emf 12 V, a resistor R and another resistor of resistance 20 MΩ.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the magnitude of the resultant electric field at P is 3 MN C<sup>−1</sup></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State the direction of the resultant electric field at P.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain why <em>q</em> will perform simple harmonic oscillations when it is released.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the period of oscillations of <em>q</em>.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>At <em>t</em> = 0, the switch is connected to X. On the axes, draw a sketch graph to show the variation with time of the voltage <em>V</em><sub>R</sub> across R.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The switch is then connected to Y and C discharges through the 20 MΩ resistor. The voltage <em>V</em><sub>c</sub> drops to 50 % of its initial value in 5.0 s. Determine the capacitance of C.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>The diagram shows a sketch of an ideal step-down transformer.</p>
<p style="text-align: center;"><img 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"></p>
<p style="text-align: left;">The number of turns in the primary coil is 1800 and that in the secondary coil is 90.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Faraday’s law of induction.</p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Explain, using Faraday’s law of induction, how the transformer steps down the voltage.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The input voltage is 240 V. Calculate the output voltage.</p>
<div class="marks">[2]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Outline how energy losses are reduced in the core of a practical transformer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Step-up transformers are used in power stations to increase the voltage at which the electricity is transmitted. Explain why this is done.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p>A square loop of side 5.0 cm enters a region of uniform magnetic field at <em>t</em> = 0. The loop exits the region of magnetic field at <em>t</em> = 3.5 s. The magnetic field strength is 0.94 T and is directed into the plane of the paper. The magnetic field extends over a length 65 cm. The speed of the loop is constant.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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"></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the speed of the loop is 20 cm s<sup>−1</sup>.</p>
<div class="marks">[1]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch, on the axes, a graph to show the variation with time of the magnetic flux linkage <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Φ</mi></math> in the loop.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Sketch, on the axes, a graph to show the variation with time of the magnitude of the emf induced in the loop.</p>
<p><img src="data:image/png;base64,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"></p>
<div class="marks">[1]</div>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>There are 85 turns of wire in the loop. Calculate the maximum induced emf in the loop.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The resistance of the loop is 2.4 Ω. Calculate the magnitude of the magnetic force on the loop as it enters the region of magnetic field.</p>
<div class="marks">[2]</div>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Show that the energy dissipated in the loop from <em>t </em>= 0 to <em>t </em>= 3.5 s is 0.13 J.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The mass of the wire is 18 g. The specific heat capacity of copper is 385 J kg<sup>−1</sup> K<sup>−1</sup>. Estimate the increase in temperature of the wire.</p>
<div class="marks">[2]</div>
<div class="question_part_label">d.ii.</div>
</div>
<br><hr><br><div class="specification">
<p><span style="background-color: #ffffff;">X has a capacitance of 18 μF. X is charged so that the one plate has a charge of 48 μC. X is then connected to an uncharged capacitor Y and a resistor via an open switch S.</span></p>
<p><span style="background-color: #ffffff;"><img style="margin-right: auto; margin-left: auto; display: block;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATcAAADfCAYAAACTQpRpAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAnDSURBVHhe7d1vbNT1HcDxT/vAxY0QA088kGjcUn1QEzKcMzGZBTOmQ7MGwxI3rFmJjIRuLMSCNUw2JUMpwc2gIRiRMTYfmDY4NXMsMExGoqYsRElUsiw4ge6BQSckDBN6u2t/MAELLW2l/fT1SgrX3++Of72++/n2vnfUlCsCIJna4meAVMQNSEncgJTEDUhJ3ICUxA1ISdyAlMQNSEncgJTEDUhJ3ICUxA1ISdyAlMQNSEncGDP2798fu3fvLt6D8xM3Rr3jx4/Hli1bYv78+cURuDBxy+7Y/tjZ+Uwsnzklampqircb4r61f4gX93RHT3G10Wrv3r1x6623xsGDB+PVV1+NW265pTgD5+eVeBPr6f5LrPjBfbF6V3dx5GylaGj7bfxh1bejNMq+zB05ciQ2bNgQ27Zti40bN8b06dOLMzAwJreset6PbSuWVsI2OZraO6Lr8Imofh3rezsRh7u2xLKGiF2r2+LXuz4sbjQ6bN++PW6//fa46qqr4rXXXhM2LorJLatPdsby62+LNTc8G+/9qTnqPufLWM/+TXHHdQvi7WU74t3HZ8XE4vilUl16Pvnkk70PHKxZsybq6uqKMzB4JrfkStOviSv7+SjX1jXHnytf2w6PgrB1dnbGtGnT4uabb+5digobQyVuWU34anzzjvroXrMkfrK2M/Z0f1qcGF2qU1pjY2O8/vrr8cEHH8TcuXOLMzA0lqWJ9XTvjt88uCiWbtlXHKmPpva2+N61X4kr6mfGrLpLN69Vt3e88MILsX79+li1alXMnj27OAPDQ9zS+yT27/xrvPX3zvhp65Y443HThmWxee3P4t4ZpS90hK9u71i4cGHvxLZo0aKYNGlScQaGj7iNN9V9b9v3xZF/vljErj6aO16OZ+ZePeKBs72DL5K4jWM9hzrj/m/cHZuiLXa8uypmTRy5vFW3d6xYsSJaWlpi3rx5cfnllxdnYGR4QCGlD2Pn8hujpub7sWn/f4tj56qd+q344b0zIrr/EQf+PTIPOFS3dyxbtiyefvrp2Lp1azQ1NQkbXwhxS2lS3Pid2VGKv8Xv/vhWHCuOnqPnwziw93BE6WtxzZWXFQeHj+0dXErillJtTLypMZZWn4HQ2hh3LX/mrOeR9sSx/TtjU9uSWLA9omFpY9w0jEtS2zsYDXzPLa1qwLbFoz9uiTX9Pre0MrQ1bY6dT90b108Yetxs72A0MbmlVRsT6ubG4y/tih0dv4/2pvrieJ9SU3u8sK0r9jx337CE7exX7xA2LjWTG0NiewejlcmNi+bVOxjNTG4MmlfvYCwwuTEon93e8fzzzwsbo5bJjQGpTmnt7e29l1euXNm7FIXRTNw4L9s7GKssS+lXdXvHPffcE/v27bO9gzHH5MY5qtPaE088YXsHY5rJjTNUt3dUN+NOnDjR9g7GNJMbvaqbcR977DHbO0jD5Ebv9o7Jkyfb3kEq6Se36v+wzoVVX70jw/YOH++BGQ8LtnERt/HwgYSBGi+fE5alQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpCRuQEriBqQkbkBKA4pbz6HOWDClJmqmtETnoU+Lo2f7NA51tsSUmpqYsqAzDvUUhweopnK7kXgb6V8bRsrn3eeG422kf+0LOvZmrJ05pXL9G2JB5/txvlQMrD39KA/IifLBjsXlUuXqpeaO8sGTxeHTTpaPvrO53FSKcjSsK3cdPecKAIVKL7rWlRsqPYnS4nLHwRPF8bOcPFDuaK4vR9SXmzsOVG41OAOMW8Xp36hUbmh/o3y0ONzr6Bvl9oZS5dyccnvXR8VBgP58VO5qn1NpRn8D06mB6nN6M0ADj1vFyYMd5ebqdHZGxE79IevLTc++fVF/CGAcOj0UnTuZnW7NEFaCg4pbtaaHd/yib5zs/U2PX2C5CtCffpanp1eJQ1sJDjJuVacmtcq4uHRp3/fZzrduBujXf8rvPNv8mQFp6MvRU2qqP/Q9tDAI1Uc77mqM1l3dlXfmRHvX1nhgxhV95wAGo+f96Lz/zrh705di6cam+Hjlkth03broemlJzJhw8bvVLu6WE+pi5pyv910uXRPXXvnlvssAg1V7dTQ+8stoLu2JdQsrYeuuDExrfzSksFVdxK2r+9lWxF2tr/S92/1UtDz88qD3tQGcUjv1u7F81bzKpVI0tD8ci4ZhJTjouPUcejkebnkqukuLo+Nf70VHc310b1oZD23eF8eK6wBcrMsmTYzhWAsOLm7H3ox181sqY+PsaNvaFo3T6opxcl9sWfBgbNjzcXFFgEtrEHH7OPZseCRad0VlbHw0Hpo1tffGtVPvjEfWL64Mk69E6wPPxZ5j1qfApTfAuH3m+2wNrbF20Y0xoThTGSJjamNrrK8sT2NXezywocvyFLjkBhS3M77PtnXxuY9iVB/tWLUu2hoqfWv9efxq56HzPhkWYKRdOG6nv89WH83rW6Nx6mXFiTPVlm6Lh9a2RkNsj9XzV8e2wT6DH2AYXdwm3hEw4JdLGUVGyT8dSfmcGJpRE7eRUr2DiBD833j5nBjgAwoAY4u4ASmJG5CSuAEpiRuQkrgBKYkbkJK4ASmJG5CSuAEpiRuQkrgBKYkbkJK4ASmJG5CSuAEpiRuQkrgBKYkbkJK4ASmJG5CSuAEpiRuQkrgBKYkbkJK4ASmJG5CSuAEpiRuQkrgBKYkbkJK4ASmJG5CSuAEpiRuQkrgBKYkbkJK4ASmJG5CSuAEpiRuQkrgBKYkbkJK4ASmJG5CSuAEpiRuQkrgBKYkbkJK4ASmJG5CSuAEpiRuQkrgBKYkbkJK4ASmJG5CSuAEpiRuQkrgBKdWUK4rLKdXU1ETGv2L178XIy3rfSf5p30vcxqjxcge9lNx3xjbLUiAlcQNSEjcgJXEDUhI3ICVxA1ISNyClcbHPLSv73EaW+87Ylj5uWdnEO/L8G49tlqVASuIGpCRuQEriBqQkbkBK4gakJG5ASuIGpGQT7xiVeff8aOLTY+wSNyAly1IgJXEDUhI3ICVxA1ISNyAlcQNSEjcgJXEDUhI3ICVxA1ISNyChiP8BK8xvdUswJvwAAAAASUVORK5CYII=" width="254" height="182"></span></p>
</div>
<div class="specification">
<p>The capacitance of Y is 12 μF. S is now closed.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Calculate, in J, the energy stored in X with the switch S open.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">Calculate the final charge on X and the final charge on Y.</span></span></p>
<div class="marks">[3]</div>
<div class="question_part_label">b(i).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">Calculate the final total energy, in J, stored in X and Y.</span></span></p>
<div class="marks">[2]</div>
<div class="question_part_label">b(ii).</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p><span style="background-color: #ffffff;">Suggest why the answers to (a) and (b)(ii) are different.</span></p>
<div class="marks">[2]</div>
<div class="question_part_label">c.</div>
</div>
<br><hr><br>