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</div><h2>HL Paper 2</h2><div class="specification">
<p class="p1">This question is in <strong>two </strong>parts. <strong>Part 1 </strong>is about energy resources. <strong>Part 2 </strong>is about transformers.</p>
</div>
<div class="specification">
<p class="p1"><strong>Part 2 </strong>Transformers</p>
<p class="p1">Modern televisions (TVs) can be left in “standby” mode so that they are available for immediate use. The internal circuits are powered at low voltage using a step-down transformer connected to the mains power supply. To prevent the TV from using any energy, the transformer must be disconnected from the mains supply.</p>
</div>
<div class="specification">
<p class="p1">When in “standby” mode, a TV transformer supplies a current of 0.45 A at 9.0 V to the internal circuits.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline the features of an ideal step-down transformer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Real transformers are subject to energy loss. State and explain how <strong>two </strong>causes of these energy losses may be reduced by suitable features in these transformers.</p>
<p class="p1"> </p>
<p class="p1">1.</p>
<p class="p1"> </p>
<p class="p1"> </p>
<p class="p1"> </p>
<p class="p1">2.</p>
<div class="marks">[4]</div>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the power consumed by the internal circuits when the TV is in “standby” mode.</p>
<div class="marks">[1]</div>
<div class="question_part_label">h.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The efficiency of the transformer is 0.95. Determine the current supplied by the 230 V mains supply.</p>
<div class="marks">[2]</div>
<div class="question_part_label">h.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">The TV is on “standby” for 75% of the time. Calculate the energy wasted in one year by not switching off the TV.</p>
<p class="p1">\[{\text{1 year}} = 3.2 \times {10^7}{\text{ s}}\]</p>
<div class="marks">[1]</div>
<div class="question_part_label">h.iii.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">number of secondary coils < primary coils;</p>
<p class="p1">coils wound around an iron core;</p>
<p class="p1">ideally no flux leakage/zero resistive heating;</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">solution;</p>
<p class="p1">with linked explanation;</p>
<p class="p1">another solution;</p>
<p class="p1">with linked explanation;</p>
<p class="p1"><em>eg</em>:</p>
<p class="p1">laminations in core;</p>
<p class="p1">prevents eddy currents in core;</p>
<p class="p1">thick/low resistance wires for primary and secondary turns;</p>
<p class="p1">reduces heating losses in wires;</p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">4.1 W;</p>
<div class="question_part_label">h.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">power required at primary \( = \frac{{4.1}}{{0.95}} = 4.3{\text{ W}}\); <em>(allow ECF from (h)(i))</em></p>
<p class="p1">current \(\frac{{4.3}}{{230}} = 1.9 \times {10^{ - 2}}{\text{ A}}\);</p>
<div class="question_part_label">h.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">approximately \(1.0 \times {10^8}{\text{ J}}\);</p>
<p class="p1"><em>Allow use of either power value.</em></p>
<div class="question_part_label">h.iii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many candidates described the purpose of a step-down transformer. The question asked for features, such as an iron core or more primary than secondary turns.</p>
<div class="question_part_label">f.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Further features such as a <span style="text-decoration: underline;">laminated</span> core or <span style="text-decoration: underline;">low resistance</span> coils were not often given, with explanations, as ways of increasing the efficiency of a transformer.</p>
<div class="question_part_label">g.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">A very easy mark, 4.1W.</p>
<div class="question_part_label">h.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">To determine the primary current the efficiency needed to be applied correctly to the power in the two circuits. There were many correct answers, with a minority placing the efficiency on the wrong side of the equation.</p>
<div class="question_part_label">h.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">TV power consumption in standby mode was an easy calculation for 1 mark.</p>
<div class="question_part_label">h.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>\[\begin{array}{*{20}{l}} {{\text{Area of thundercloud base}}}&{ = 1.2 \times {{10}^8}{\text{ }}{{\text{m}}^2}} \\ {{\text{Charge on thundercloud base}}}&{ = -25{\text{ C}}} \\ {{\text{Distance of thundercloud base from Earth's surface}}}&{ = 1600{\text{ m}}} \\ {{\text{Permittivity of air}}}&{ = 8.8 \times {{10}^{ - 12}}{\text{ F }}{{\text{m}}^{ - 1}}} \end{array}\]</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>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em>C</em> = <strong>«</strong><span class="Apple-converted-space"><em>ε</em>\(\frac{A}{d}\) =</span><strong>»</strong> 8.8 × 10<sup>–12</sup> × \(\frac{{1.2 \times {{10}^8}}}{{1600}}\)</p>
<p><strong>«</strong><span class="Apple-converted-space"><em>C</em> = 6.60 × 10<sup>–7</sup> F</span><strong>»</strong></p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>V</em> = <strong>«</strong><span class="Apple-converted-space">\(\frac{Q}{C}\) =</span><strong>»</strong> \(\frac{{25}}{{6.6 \times {{10}^{ - 7}}}}\)</p>
<p><em>V</em> = 3.8 × 10<sup>7</sup> <strong>«</strong><span class="Apple-converted-space">V</span><strong>»</strong></p>
<p> </p>
<p><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer</em></p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><em>ALTERNATIVE 1</em></strong></p>
<p><em>E</em> = <strong>«</strong><span class="Apple-converted-space">\(\frac{1}{2}\)<em>QV</em> =</span><strong>»</strong> \(\frac{1}{2}\) × 25 × 3.8 × 10<sup>7</sup></p>
<p><em>E</em> = 4.7 × 10<sup>8</sup> <strong>«</strong><span class="Apple-converted-space">J</span><strong>»</strong></p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p><em>E</em><em> = </em><strong>«</strong><span class="Apple-converted-space">\(\frac{1}{2}\)<em>CV</em><sup>2</sup> =</span><strong>»</strong> \(\frac{1}{2}\) × 6.60 × 10<sup>–7</sup> × (3.8 × 10<sup>7</sup>)<sup>2</sup></p>
<p><em>E</em> = 4.7 × 10<sup>8</sup> <strong>«</strong><span class="Apple-converted-space">J</span><strong>»</strong> / 4.8 × 10<sup>8</sup> <strong>«</strong><span class="Apple-converted-space">J</span><strong>»</strong> if rounded value of V used</p>
<p> </p>
<p><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer</em></p>
<p><em>Allow ECF from (b)(i)</em></p>
<p> </p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>Q</em> = <strong>«</strong>\({Q_0}{e^{ - \frac{t}{\tau }}}\)<span class="Apple-converted-space"> =</span><strong>»</strong> 25 × \({e^{ - \frac{{18}}{{32}}}}\)</p>
<p><em>Q</em> = 14.2 <strong>«</strong><span class="Apple-converted-space">C</span><strong>»</strong></p>
<p>charge delivered = <em>Q</em> = 25 – 14.2 = 10.8 <strong>«</strong><span class="Apple-converted-space">C</span><strong>»</strong></p>
<p><strong>«</strong><span class="Apple-converted-space">≈ –11 C</span><strong>»</strong></p>
<p> </p>
<p><em>Final answer must be given to at least 3 significant figures</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>I</em> <strong>«</strong><span class="Apple-converted-space">= \(\frac{{\Delta Q}}{{\Delta t}} = \frac{{11}}{{18 \times {{10}^{ - 3}}}}\)</span><strong>»</strong> ≈ 610 <strong>«</strong><span class="Apple-converted-space">A</span><strong>»</strong></p>
<p> </p>
<p><em>Accept an answer in the range 597 </em>− <em>611 </em><strong>«</strong><em>A</em><strong>»</strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>the base of the thundercloud must be parallel to the Earth surface</p>
<p><strong><em>OR</em></strong></p>
<p>the base of the thundercloud must be flat</p>
<p><strong><em>OR</em></strong></p>
<p>the base of the cloud must be very long <strong>«</strong>compared with the distance from the surface<strong>»</strong></p>
<p><strong><em>[1 mark]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1"><strong>Part 2 </strong>Power transmissions</p>
<p class="p1">The diagram shows the main features of an ideal transformer whose primary coil is connected to a source of alternating current (ac) voltage.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-08-29_om_18.29.32.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/08_Part2"></p>
</div>
<div class="specification">
<p class="p1">A different transformer is used to transmit power to a small town.</p>
<p style="text-align: center;"><img src="images/Schermafbeelding_2016-08-29_om_18.34.05.png" alt="N15/4/PHYSI/HP2/ENG/TZ0/08.f"></p>
<p class="p1">The transmission cables from the power station to the transformer have a total resistance of 4.0 <span class="s1">Ω</span>. The transformer is 90% efficient and steps down the voltage to 120 V. At the time of maximum power demand the effective resistance of the town and of the cables from the transformer to the town is 60 m<span class="s1">Ω</span>.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline, with reference to electromagnetic induction, how a voltage is induced across the secondary coil.</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 class="p1">The primary coil has 25 turns and is connected to an alternating supply with an input voltage of root mean squared (rms) value 12 V. The secondary coil has 80 turns and is not connected to an external circuit. Determine the peak voltage induced across the secondary coil.</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 class="p1">Calculate the current in the cables connected to the town</p>
<div class="marks">[1]</div>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Calculate the power supplied to the transformer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Determine the input voltage to the transformer if the power loss in the cables from the power station is 2.0 kW.</p>
<div class="marks">[2]</div>
<div class="question_part_label">f.iii.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Outline why laminating the core improves the efficiency of a transformer.</p>
<div class="marks">[2]</div>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">(alternating) pd/voltage across primary coil leads to (alternating) current (in primary coil);</p>
<p class="p1">hence there is a changing/alternating magnetic field in primary;</p>
<p class="p1">leading to a changing magnetic flux linked to/appearing in secondary;</p>
<p class="p1">according to Faraday’s law, an alternating emf is induced in the secondary coil;</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>rms secondary voltage \( = 38.4{\text{ (V)}}\);</p>
<p>peak voltage \( = \left( {38\sqrt 2 = } \right){\text{ 54 (V)}}\); <em>(allow ECF from MP1)</em></p>
<p><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">\(\left( {{I_{\text{s}}} = \frac{{120}}{{60 \times {{10}^{ - 3}}}}} \right) = 2.0{\text{ k(A)}}\); <em>(30 A is a common and incorrect answer)</em></p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">power (supplied to town) \( = 2.0 \times {10^3} \times 120\)\(\,\,\,\)<strong><em>or</em></strong>\(\,\,\,\)\(2.4 \times {10^5}\); <em>(allow ECF from (f)(i))</em></p>
<p class="p1">power (supplied to transformer) \(\left. { = \left( {\frac{{2.4 \times {{10}^5}}}{{0.9}} = } \right){\text{ }}2.67 \times {{10}^5}{\text{ (W);}}} \right\}\) <em>(30 A in (f)(i) leads to 4 kW)</em></p>
<p class="p1"><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\({I_{\text{p}}} = \sqrt {\frac{{2 \times {{10}^3}}}{{4.0}}} = 22.4{\text{ (A)}}\);</p>
<p>\(V = \frac{P}{I} = \frac{{2.67 \times {{10}^5}}}{{22.4}} = 12{\text{ k(V)}}\);</p>
<p><em>Allow ECF from (f)(i) and (f)(ii).</em></p>
<p><em>30 A and 4 kW earlier leads to 179 V.</em></p>
<p><em>Award </em><strong><em>[2] </em></strong><em>for a bald correct answer.</em></p>
<div class="question_part_label">f.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">laminations increase resistance / reduce current in core material/metal / reduce eddy currents;</p>
<p class="p1">thus reducing \({I^2}R\)/power/(thermal) energy/heat losses in the core;</p>
<div class="question_part_label">g.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">In the second part of this question, candidates showed themselves to be much less confident with ideas of electromagnetic induction. Discussion of induction of the secondary emf in the transformer ought to be well rehearsed and confident from a candidate at this level. Instead, examiners were treated to incomplete and often non-physical descriptions. Standard and expected terminology was rare. Terms such as magnetic flux, linking, emf and induction were either omitted or misused. This is clearly an area where there is much misunderstanding.</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">On the other hand, candidates were well able to cope with the (straightforward) calculation of the induced emf across the secondary coil. However, a frequent omission was the final conversion to a peak value.</p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This whole sequence of calculations was poorly done. Candidates appear never to have considered the problem of energy loss in the cabling between energy generator and consumer. This ought to be straightforward work for the candidates, but it proved not to be. Solutions as a whole were confused with little clear explanation of what was going on. Candidates were evaluating the wrong quantities without realising it and then misapplying them later in the question. As an example, simply labelling a quantity as “<em>Power </em>=…” is unhelpful<em>. </em>What power is being referred to by the candidate? The argument <em>must </em>be clear in order that an examiner can award error carried forward<em>. </em></p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This whole sequence of calculations was poorly done. Candidates appear never to have considered the problem of energy loss in the cabling between energy generator and consumer. This ought to be straightforward work for the candidates, but it proved not to be. Solutions as a whole were confused with little clear explanation of what was going on. Candidates were evaluating the wrong quantities without realising it and then misapplying them later in the question. As an example, simply labelling a quantity as “<em>Power </em>=…” is unhelpful<em>. </em>What power is being referred to by the candidate? The argument <em>must </em>be clear in order that an examiner can award error carried forward<em>. </em></p>
<div class="question_part_label">f.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">This whole sequence of calculations was poorly done. Candidates appear never to have considered the problem of energy loss in the cabling between energy generator and consumer. This ought to be straightforward work for the candidates, but it proved not to be. Solutions as a whole were confused with little clear explanation of what was going on. Candidates were evaluating the wrong quantities without realising it and then misapplying them later in the question. As an example, simply labelling a quantity as “<em>Power </em>=…” is unhelpful<em>. </em>What power is being referred to by the candidate? The argument <em>must </em>be clear in order that an examiner can award error carried forward<em>. </em></p>
<div class="question_part_label">f.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Many had rote learnt the first point about laminations in a transformer core: that the eddy currents are reduced. However, a good candidate will realise that the nature of the core must mean that they are never entirely eliminated – complete elimination of the currents was a common and incorrect answer.</p>
<div class="question_part_label">g.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about electromagnetic induction.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">In order to measure the rms value of an alternating current in a cable, a small coil of wire is placed close to the cable.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_13.53.24.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/A4.a"></p>
<p class="p1">The plane of the small coil is parallel to the direction of the cable. The ends of the small coil are connected to a high resistance ac voltmeter.</p>
<p class="p1">Use Faraday’s law to explain why an emf is induced in the small 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 class="p1">The graph below shows the variation with time \(t\) of the current in the cable.</p>
<p class="p2" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_13.57.18.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/A4.b_1"></p>
<p class="p1">On the axes below, draw a sketch graph to show the variation with time of the emf induced in the small coil.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-11-09_om_13.58.44.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/A4.b_2"></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 class="p1">Explain how readings on the high resistance ac voltmeter can be used to compare the rms values of alternating currents in different cables.</p>
<div class="marks">[3]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">induced emf is (directly) proportional/equal to rate of change/cutting of flux (linkage);</p>
<p class="p1">current produces a (time changing) magnetic field;</p>
<p class="p1">field changes with time;</p>
<p class="p1">which produces a time changing flux in the coil;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><img src="images/Schermafbeelding_2016-11-09_om_14.00.02.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/A4.b_1/M"></p>
<p><em><strong>or</strong></em></p>
<p><img src="images/Schermafbeelding_2016-11-09_om_14.02.12.png" alt="N10/4/PHYSI/HP2/ENG/TZ0/A4.b_2/M"></p>
<p class="p1">same frequency as current graph;</p>
<p class="p1">\( \pm 90° \) phase shift;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">if the coil position/orientation relative to the cables is the same in all measurements;</p>
<p class="p1">if the coil distance from the cables is the same in all measurements;</p>
<p class="p1">the voltage measured across the coil is proportional to current in the cable;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">The chain of argument needed to be clear in answers. A correct statement of Faraday‟s Law should lead to the recognition that the current produces a magnetic field, that this field is changing, and that therefore a time changing flux exists inside the coil.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Candidates could identify the similarity of frequency between graphs but the phase relationship usually defeated them.</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">Candidates failed to rise to the challenge of this question or indeed to read it correctly. They were asked to explain how the voltmeter can be used to compare the values of currents in different cables. This involves making both the distance from the centre of the cable and the orientation common to both sets of measurements. It also involves the recognition by the candidate that the current is directly proportional to the reading on the voltmeter.</p>
<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.<span class="Apple-converted-space"> </span></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>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em>d</em> = <strong>«</strong><span class="Apple-converted-space">\(\frac{{8.85 \times {{10}^{ - 12}} \times {{0.025}^2}}}{{4.3 \times {{10}^{ - 12}}}}\) =</span><strong>»</strong> 1.3 × 10<sup>–3</sup> <strong>«</strong><span class="Apple-converted-space">m</span><strong>»</strong></p>
<p> </p>
<p><em><strong>[1 mark]</strong></em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>6.9 × 10<sup>–11</sup> <strong>«</strong><span class="Apple-converted-space">C</span><strong>»</strong></p>
<p>negative charge/sign</p>
<p><strong><em>[2 marks]</em></strong></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>charge increases</p>
<p>because capacitance increases <strong><em>AND </em></strong>pd remains the same.</p>
<p><em><strong>[2 marks]</strong></em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><strong><em>ALTERNATIVE 1</em></strong></p>
<p><em>ε<sub>s</sub></em> = \(\frac{{1200}}{{100}}\) × 220</p>
<p>= 2640 <strong>«</strong><span class="Apple-converted-space">V</span><strong>»</strong></p>
<p>V<sub>rms</sub> = \(\frac{{2640}}{{\sqrt 2 }}\) = 1870 <strong>«</strong><span class="Apple-converted-space">V</span><strong>»</strong></p>
<p> </p>
<p><strong><em>ALTERNATIVE 2</em></strong></p>
<p>(Primary) V<sub>rms</sub> = \(\frac{{220}}{{\sqrt 2 }}\) = 156 <strong>«</strong>V<strong>»</strong></p>
<p>(Secondary) V<sub>rms</sub> = \(\frac{{156 \times 1200}}{{100}}\)</p>
<p>V<sub>rms</sub> = 1870 <strong>«</strong>V<strong>»</strong></p>
<p> </p>
<p><em>Allow ECF from MP1 and MP2.</em></p>
<p><em>Award </em><strong><em>[2] </em></strong><em>max for 12.96 V (reversing N</em><sub><em>p </em></sub><em>and N</em><sub><em>s</em></sub><em>).</em></p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>step-up transformers increase voltage/step-down transformers decrease voltage</p>
<p>(step-up transformers increase voltage) from plants to transmission lines / (step-down transformers decrease voltage) from transmission lines to final utilizers</p>
<p>this decreases current (in transmission lines)</p>
<p>to minimize energy/power losses in transmission</p>
<p><strong><em>[3 marks]</em></strong></p>
<div class="question_part_label">e.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<br><hr><br><div class="specification">
<p class="p1">This question is about generating emfs.</p>
</div>
<div class="specification">
<p class="p1">A vertical metal rod of length 0.25 m moves in a horizontal circle about a vertical axis in a uniform horizontal magnetic field.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-07_om_10.15.00.png" alt="M14/4/PHYSI/HP2/ENG/TZ2/05.b"></p>
<p class="p1">The metal rod completes one circle of radius 0.060 m in 0.020 s in the magnetic field of strength 61 mT.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p class="p1">Define <em>magnetic flux</em>.</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 class="p1">(i) Determine the maximum emf induced between the ends of the metal rod.</p>
<p class="p1">(ii) Using the axes, sketch a graph to show the variation with time of the emf of the metal rod.</p>
<p class="p1" style="text-align: center;"><img src="images/Schermafbeelding_2016-09-07_om_10.17.13.png" alt="M14/4/PHYSI/HP2/ENG/TZ2/05.b.ii"></p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">magnetic flux density/magnetic field strength normal to a surface \( \times \) area of surface;</p>
<p class="p1"><em>Allow fully explained equation or diagram.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(v = \frac{1}{{0.02}} \times 2\pi \times 0.06{\text{ }}\left( { = 18.8{\text{ m}}\,{{\text{s}}^{ - 1}}} \right)\);</p>
<p>\(\varepsilon = (Blv = ){\text{ }}61 \times {10^{ - 3}} \times 0.25 \times 18.8\);</p>
<p>290 (mV);</p>
<p><em>Award </em><strong><em>[3] </em></strong><em>for a bald correct answer.</em></p>
<p>(ii) sinusoidal curve drawn; <em>(at least half a cycle required)</em></p>
<p>with a period of 0.02 s;</p>
<p><em>Accept any phase.</em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p class="p1">A strong and complete definition was required here. It was often lacking. There were references to “magnetic field” or “magnetic strength”, and the angle between B and was often incorrectly defined. This standard bookwork left a lot to be desired.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p class="p1">(i) A standard error in this calculation was to misunderstand how to determine the speed of the rod. Some credit was allowed if this was incorrect. Many candidates recognised that the emf was related to <em>Blv </em>and the speed determination was their only error.</p>
<p class="p1">(ii) Space had been left on the graph for two complete cycles of the wave and this is what examiners expected to see. Very many candidates failed to think the problem through and assumed that the grid axes had been set up for one period. Most candidates realised that there was some sinusoidal behaviour for the emf. However, examiners saw a minority of very strange graphs.</p>
<div class="question_part_label">b.</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>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>the size of the <span style="text-decoration: underline;">induced</span> emf<br>is proportional/equal to the rate of change of flux linkage</p>
<p> </p>
<p><em>The word ‘induced’ is required here.</em><br><em>Allow correctly defined symbols from a correct equation. ‘Induced’ is required for MP1.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>varying voltage/current in primary coil produces a varying magnetic field</p>
<p>this produces a change in flux linkage / change in magnetic field in the secondary coil</p>
<p>a «varying» emf is induced/produced/generated in the secondary coil</p>
<p>voltage is stepped down as there are more turns on the primary than the secondary</p>
<p> </p>
<p><em>Comparison of number of turns is required for MP4.</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>output voltage \( = \frac{{90 \times 240}}{{1800}}\)</p>
<p>= 12 «V»</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>laminated core reduces eddy currents</p>
<p>less thermal energy is transferred to the surroundings</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>for a certain power to be transmitted, large <em>V</em> means low <em>I </em></p>
<p>less thermal energy loss as <em>P = I<sup>2</sup>R</em> / joule heating</p>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<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>
<table style="width: 534px;">
<tbody>
<tr>
<td style="width: 422px; padding-left: 90px;">ac generator output voltage to a transformer</td>
<td style="width: 131px;">= 25 kV</td>
</tr>
<tr>
<td style="width: 422px; padding-left: 90px;">ac generator output current to a transformer</td>
<td style="width: 131px;">= 3.9 kA</td>
</tr>
<tr>
<td style="width: 422px; padding-left: 90px;">Transformer output voltage to the grid</td>
<td style="width: 131px;">= 330 kV</td>
</tr>
<tr>
<td style="width: 422px; padding-left: 90px;">Transformer efficiency</td>
<td style="width: 131px;">= 96%</td>
</tr>
</tbody>
</table>
<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 style="text-align: center;"><img src="data:image/png;base64,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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>
<table style="width: 582px;">
<tbody>
<tr>
<td style="width: 283px; padding-left: 90px;">Dimensions of the coil</td>
<td style="width: 326px;">= 8.5 cm×8.5 cm</td>
</tr>
<tr>
<td style="width: 283px; padding-left: 90px;">Number of turns on the coil</td>
<td style="width: 326px;">= 80</td>
</tr>
<tr>
<td style="width: 283px; padding-left: 90px;">Speed of edge AB</td>
<td style="width: 326px;">= 2.0 ms<sup>–1</sup></td>
</tr>
<tr>
<td style="width: 283px; padding-left: 90px;">Uniform magnetic field strength</td>
<td style="width: 326px;">= 0.34 T</td>
</tr>
</tbody>
</table>
<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>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>i<br>\(I = 0.96 \times \left( {\frac{{25 \times {{10}^3} \times 3.9 \times {{10}^3}}}{{330 \times {{10}^3}}}} \right)\)<br><em>Award <strong>[2]</strong> for a bald correct answer to 2 sf.</em><br><em>Award <strong>[1 max]</strong> for correct sf if efficiency used in denominator leading to 310 A or if efficiency ignored (e=1) leading to 300 A (from 295 A but 295 would lose both marks).</em><br><br>=280 «A»<br><em>Must show two significant figures to gain MP2.</em></p>
<p> </p>
<p>ii<br>higher V means lower <em>I</em> «for same power»</p>
<p>thermal energy loss depends on <em>I</em> <em><strong>or</strong></em> is ∝<em>I</em><sup>2</sup> <em><strong>or</strong></em> is <em>I</em><sup>2</sup><em>R</em> so thermal energy loss will be less<br><em>Accept “heat” or “heat energy” or “Joule heating” for “thermal energy”.</em><br><em>Reference to energy/power dissipation is not enough.</em></p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>i</p>
<p>«long» sides of coil AB/CD cut lines of flux<br><em><strong>OR<br></strong></em>flux «linkage» in coil is changed </p>
<p>«Faradays law:» induced emf depends on rate of change of flux linked<br><strong><em>OR<br></em></strong>rate at which lines are cut</p>
<p><em>“Induced” is required<br>Allow OWTTE or defined symbols if “induced emf” is given.<br>Accept “induced” if mentioned at any stage in the context of emf or accept the term “motional emf”.<br>Award <strong>[2 max</strong>] if there is no mention of “induced emf”. </em></p>
<p>emfs acting in sides AB/CD add / act in same direction around coil</p>
<p>process produces an alternating/sinusoidal emf</p>
<p> </p>
<p>ii</p>
<p><em>Blv</em> = 0.34×8.5×10<sup>–2</sup>×2 = 0.058 «V» </p>
<p><em>Accept 0.06V.</em></p>
<p> </p>
<p>iii</p>
<p>160×(c)(ii) = 9.2 <em><strong>or</strong></em> 9.3 <em><strong>or</strong></em> 9.6 «V» </p>
<p><em>Allow ECF from (c)(ii)<br>If 80 turns used in cii, give full credit for cii x 2 here.</em></p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about induced electromotive force (emf ).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A rod made of conducting material is in a region of uniform magnetic field. It is moved horizontally along two parallel conducting rails X and Y. The other ends of the rails are connected by a thin conducting wire.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">The speed of the rod is constant and is also at right angles to the direction of the uniform magnetic field.</p>
<p style="text-align: left;">(i) Describe, with reference to the forces acting on the conduction electrons in the rod, how an emf is induced in the rod.</p>
<p style="text-align: left;">(ii) An induced emf is produced by a rate of change of flux. State what is meant by a rate of change of flux in this situation.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The length of the rod in (a) is 1.2 m and its speed is 6.2 m s<sup>–1</sup>. The induced emf is 15 mV.</p>
<p>(i) Determine the magnitude of the magnetic field strength through which the rod is moving.</p>
<p>(ii) Explain how Lenz’s law relates to the situation described in (a).</p>
<p> </p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) electrons are moving at right angles to the magnetic field;<br>electrons experience a force directed along the rod / charge is separated in the rod;<br>the work done by this force to achieve this separation leads to an induced<br>emf; </p>
<p>(ii) the product of magnitude of field strength and the rate at which the area is swept out by the rod is changing / the rate at which the rod cuts through field lines;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) \(B = \frac{\varepsilon }{{vl}}\);<br><em>(must see the data book equation re-arranged or correctly aligning substitution with equation)</em></p>
<p>\( = \left({\frac{{15 \times {{10}^{ - 3}}}}{{6.2 \times 1.2}} = } \right)2.0{\rm{mT}}\)<em>; (accept 2+sf)<br></em><em>To award <strong>[2]</strong> both steps must be seen.</em></p>
<p>(ii) Lenz’s law states that the direction of the induced emf/current is such as to oppose the change producing it;<br>there is a current in the rod due to the induced emf;<br>the force on the current/rod due to the magnetic field is in the opposite direction to the force producing the motion of the rod;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>It continues to be apparent that candidates find this a difficult area of the syllabus in which a clear and unshakeable understanding of the concepts is required.</p>
<p>(i) A good number did not consider the forces acting on the electrons as instructed and therefore gained few, if any, marks. Of the remainder, some were able to discuss the forced motion of the electrons in the field and how this leads to the direction of the forces on the electrons along the rod. It was rare to see a consideration of the connection between the work done on the electrons and the emf itself.</p>
<p>(ii) Only a few candidates could adequately explain what is meant by a rate of change of flux. The “rate of change” aspect was usually missing.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) The calculation of magnetic field strength followed directly from a substitution into a Data Booklet equation and so was often well done apart from the inevitable power of ten errors by those who forgot the “m” in “mV”.</p>
<p>(ii) This was very poor indeed. Many could not even state Lenz‟s law adequately and could get no further. It was rare to see a good link made between the law itself and the induced current in the circuit.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about induced electromotive force (emf).</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>A loop of copper wire in a region of uniform magnetic field is rotated about a horizontal axis.<img 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" alt></p>
<p>The magnitude of the magnetic field strength is <em>B</em> and the area of the loop is <em>A</em>.</p>
<p>(i) State the minimum value and the maximum value of the magnetic flux linking the loop.</p>
<p>(ii) Outline with reference to Faraday’s law why, if the speed of rotation of the loop is increased, the maximum emf induced in the loop is increased.</p>
<div class="marks">[4]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The loop in (a) is connected in series with a resistor of resistance 15 Ω. The root mean squared (rms) value of the sinusoidal current in the resistor is 2.3 mA.</p>
<p>(i) Explain what is meant by the rms value of a sinusoidal current.</p>
<p>(ii) Determine the maximum power dissipated in the resistor.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) <em>minimum:</em> zero / <em>–BA</em> <em>(minus sign required)</em><br><em>maximum:</em> BA } <em>(both needed)</em></p>
<p>(ii) <em>Look for these main points:</em><br>(Faraday’s law states that the) induced emf equals/is proportional to the rate of change of flux/flux linkage; { <em>(must see induced)</em><br>speed greater so time for change shorter / flux (linkage) is unchanged;<br>greater rate of change (of flux <em>etc</em>) gives a greater (induced) emf;<br><em>Award <strong>[1 max]</strong> if answer states flux (linkage) change is larger.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) (equivalent) direct current;<br>dissipating same power in a (fixed) resistor (as the rms current);</p>
<p>(ii) maximum current \( = \left( {\sqrt 2 \times 2.3 = } \right)3.2/3.3{\rm{mA}}\);<br>maximum power = (3.3<sup>2</sup>×15=)0.16mW;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</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 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"></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>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>«\(\frac{1}{2}C{V^2} = \frac{1}{2} \times 0.22 \times {24^2}\)» = «J»</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\frac{1}{{100}} = {e^{ - \frac{t}{{8.0 \times 0.022}}}}\)</p>
<p>\(\ln 0.01 = - \frac{t}{{8.0 \times 0.022}}\)</p>
<p>0.81 «s»</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>c</em> = \(\frac{Q}{{m \times \Delta T}}\)</p>
<p><em><strong>OR</strong></em></p>
<p>\(\frac{{6.3}}{{0.00061 \times 28}}\)</p>
<p>370 J kg<sup>–1</sup> K<sup>–1</sup></p>
<p> </p>
<p> </p>
<p><em>Allow ECF from 3(a) for energy transferred.</em></p>
<p><em>Correct answer only to include correct unit that matches answer power of ten.</em></p>
<p><em>Allow use of g and kJ in unit but must match numerical answer, eg: 0.37 J kg<sup>–1</sup> K<sup>–1</sup> receives<strong> [1]</strong></em></p>
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em></p>
<p>some thermal energy will be transferred to surroundings/along connecting wires/to<br>thermometer</p>
<p>estimate «of specific heat capacity by student» will be larger «than accepted value»</p>
<p> </p>
<p><em><strong>ALTERNATIVE 2</strong></em></p>
<p>not all energy transferred as capacitor did not fully discharge</p>
<p>so estimate «of specific heat capacity by student» will be larger «than accepted value»</p>
<div class="question_part_label">c.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about changing magnetic fields.</p>
<p>A single-turn conducting square coil is released and falls vertically from rest. At the instant it is released, the coil is at the boundary of a region of a uniform horizontal magnetic field directed into the plane of the paper as shown. The ends of the coil are not joined together.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>Each side of the coil is 0.050 m long. The dimensions of the magnetic field region are greater than that of the coil. The magnetic field strength is 25 mT.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Calculate the electromotive force (emf) induced in the coil at the instant just before the whole of the coil enters the magnetic field.</p>
<div class="marks">[3]</div>
<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Suggest why the time taken for the whole of the coil to enter the magnetic field increases if the coil is a continuous loop.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">speed as the whole of the coil enters the field \( = \sqrt {2 \times 9.81 \times 0.05} \) (=0.99 ms<sup>-1</sup></span>);<br>\(\left( {\varepsilon = \left( - \right)\frac{{\Delta \varphi }}{{\Delta t}}} \right) = 0.05 \times 0.99 \times 25 \times {10^{ - 3}}\);<br>1.23(mV) <em><strong>or</strong></em> 1.24(mV0; <em><span style="font-size: 11pt; font-family: 'Arial,Italic';">(allow use of g</span><span style="font-size: 11pt; font-family: 'SymbolMT';">=</span></em><span style="font-size: 11.000000pt; font-family: 'Arial,Italic';"><em>10 to give 1.25(mV))</em> </span></p>
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<p><em><span style="font-size: 11pt; font-family: 'Arial,Italic';">Award </span><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';"><strong>[3]</strong> </span><span style="font-size: 11pt; font-family: 'Arial,Italic';">for a bald correct answer.<br> Use of factor 4 appears if candidate thinks all sides of coil contribute to emf </span><strong><span style="font-size: 11pt; font-family: 'Arial,BoldItalic';">[2 max]</span></strong><span style="font-size: 11pt; font-family: 'Arial,Italic';">. </span></em></p>
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<div class="question_part_label">a.</div>
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<p><span style="font-size: 11.000000pt; font-family: 'Arial';">current (induced) in the coil;<br>this will act so as to oppose the movement / reference to Lenz’s law;<br>force will be upwards/resistive/counteracts the effect of gravitational force; </span></p>
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<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
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<br><hr><br><div class="specification">
<p>This question is about electromagnetic induction.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State Lenz’s law.</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>Two identical aluminium balls are dropped simultaneously from the same height. Ball P falls through a region with no magnetic field. Ball Q falls through a region of uniform horizontal magnetic flux density <em>B</em>.</p>
<p><img 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" alt></p>
<p>Explain why ball Q takes longer than ball P to reach the ground.</p>
<div class="marks">[4]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><span style="text-decoration: underline;">induced</span> emf/<span style="text-decoration: underline;">induced</span> current acts so as to oppose the change causing it;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>ball Q enters/leaves magnetic field / experiences changing flux;<br>so an emf/current is induced;<br>this causes a magnetic field;<br>which opposes the motion of / exerts an upward force on ball Q;</p>
<p><em>or in terms of energy:</em><br>ball Q moves through a magnetic field / experiences changing flux;<br>so an emf/current is induced;<br>current causes dissipative heating due to resistance;<br>some kinetic energy changes to thermal energy;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about motion in a magnetic field.</p>
<p>An electron, that has been accelerated from rest by a potential difference of 250 V, enters a region of magnetic field of strength 0.12 T that is directed into the plane of the page.</p>
<p style="text-align: center;"><img 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CwRoJlaAstmSYAEqkWAn82vVrw5WhIgAUsEeGZqCSybJQESqBYBmmm14s3RkgAJWCJAM7UEls2SAAlUi8AkM7XxMatqIeVoSYAENBOw5XEeM7XViWaw1EYCJFA9Aja8zmOm1UPKEZMACZBAOgRopulwZCskQAIVJ0AzrXgCcPgkQALpEKCZpsORrZAACVScAM204gnA4ZMACaRDgGaaDke2QgIkUHEC/Gx+xROAwycBEkiHAM9M0+HIVkiABCpOwKqZjoyMmNOnT0ciHhgYiNyf5c6xsTGDf1ElSZ2o49Pel4Qf4qClJMmJJHWyGg/yN44f6sTlTVZ60U+cXtRJkjdZaU4yp5LUyUpvWD9WzXTnjh1m1cqVoYa6tWurufGGG8K0Zb59aGjIfG7RotBkRJJiP+ppKeAHjmEF+xAHLeXAz38emRO9vb3m+qVLQ3Mm63FgErddcaWBrqACI0WOHz58OGh3LtsQ77ic2HjXXbloC+q0iPMuaBymZrGMj4/XVixf7vzDa3fp2tJVm9PWVhseHnZvzv11T09PoC7ohF7s11REF3j6C7aBv5+9v17W62G6wthnrc/fH3Sdd86MSbGX/A5i728jy/UoXWHss9QX1FdY7CW/05x3iKWN4jFTdJJ2RxJY96RGQDUaqQD2B9ZGQKWvNJaizz2ptU4aGa9fn5+51NOyhD63oUpeu5lr0QodQfr8zDXphRZ/DkheY3uaxYbPQZ91M0UnElgYKgKq2UglaBJY91L2aVxK4oGv9kkj/ERnd3d3YXICExF6JZdlLBqXMu+KlBPu+WbrSrDQZopEQ2ABBwPp7+/XmHuTNO3bu9fRi2URCgwVfMEZvItQOjs6CpUTMFIwhu4iFJl3RcoJ2/POlplafQDlvkl7/333O6vXzJ9ncPM77im/+9g8XuNh0/c3bjSr1qxxlkmekOah093nww89bMAXRXi792t7jYc6PYcOmRtXLC9ETiBn9+7ZY5Ysvc78aMfO0IdSmjgjD2ZeeKHzrwg5UcR5NxFv919XW46Nywz8ZcSZk1x6uO+hujVoeC2XzHKvRi49sF1rkUtm8BX92Ka1+Jm69WvULHkrTKEf80VyRKNmN1O/fo16JW+FqT9H0tJsy+es3zNFQMVIBYYEVqOh+gMqmm0FVtpvZumeNNKOjEMmv2zXsAxjGTQODXolX/0sMQ6thhrEMmwcGhhLvoKpu4TlirtOva8Laabbt22bZKQycAksDFVLCQuo6LMRWGm70WXQpJG2ZDyIg5YSxzBqPHmMQfLUb6SiBff/cbLQ19cnm3JfIt5hJypx48lDvOSp30hFS1zOSL2ky0zMFGLQUVoFEAAqrCCwmh7uYGLETQrs1/QADfzAMayAf1iShh1jc3tcTqBvPOQZHR21KSNx29ABPVEFjDXlBBhH5UTV512aHufOC37RycTdY74gARIggcYJZPY0v3GJPJIESIAE9BOgmeqPERWSAAkUgADNtABBokQSIAH9BDxmit+StvF70voxUCEJkEBVCNjyOY+ZVgUmx0kCJEACaROgmaZNlO2RAAlUkgDNtJJh56BJgATSJkAzTZso2yMBEqgkAZppJcPOQZNA+QjgW712bN9u5l59tfMgvfVjHzff/h/fTuX3udB23Dfd0UzLl1McEQlUjgCM7kvLlpm/XftN88rxl53xnxobM/f/4z+aT82eY44cOdIUk+HhYfMXl17mmHWYqXrM9PjgiaY65MEkQAIkkAeBv7nlFnP4l88Gdv3vb7xhvvKlL3vOLBvxOrQDsw4zVY+ZQkkjnQSOgBtJgARIIAMC+ELpg0/+IrKnf3v9dfPzf/5np06zHhdmqmdGKuBOEiABElBO4OTJk+att95yVOJ37X7/+99PUvy73//e3HvvveY//lDvkksuMdOnT59Ur54NYqrf3XCnWXXbasNvjaqHHuuSAAnkQmBsbMz89re/Nb/5zW/Ma6+9Zt58803zwgsvOFoeeughc+zYsQld73rnf5l4LS/OPPNPzJl/8sdzx7dNmWKmTJkiu5tatkxtMV9ctoxm2hRFHkwCJJAqATzoefXVVx3DfPrpp82pU6ecM8rW1lYze/Zs8653vct8+MMfdvq86KKLnOXvfvc7s+Tzi83p8fFILd/6zrfN0i9+MbJO2M6BgQEz79NzPbthoouXfMHcdPNNZtq0aeaPVm3MxOfym72n4OmRKyRAAiQQQKC/v98MDg4aLPG0HZfhCxYsMLgEh2Hi9Xve8x5zzz33BBzt3TTzzy4MfQAlNefNn++8lO8fadTn/CYq7XvMVDZySQIkQAJpEsDbiXApfvToUefy/M4773TM8uqrrzYXXHCBmTt3biLTDNN018aN5r/Pm29wH9Nf3v72t5v/+b+2OmeP/n31rn/pK1+ZOBP1H+u5Z9qsY/sb5zoJkEB1CeCME5fqTz31lHPW2d7ebq666irz0Y9+1HzoQx8yLS0tqcLBfdUN69eb//3jn0y0+7HWT5jOtWvNrFmzJrY14nNoGwWX82GFZhpGhttJgATqIgDD+dWvfmWefPJJ09nZaWybZ5Q4nAmHmXUjZhrVl+zjZb6Q4JIESKBuAjDQZ5991vz0pz91zj7XrVtn2trazOjoaORZXN0d1XlAmJHW2Uxd1WmmdeFiZRIgAbeB4sHRsmXLzE033WTuvvvu0LPBKlCjmVYhyhwjCTRJAJfNhw8fNvfdd59zBrpp0ybHQC+++OImWy7P4Z6Pkzb6VoHy4OBISIAE3ATwEGnz5s1m6tSp5sEHHzRf/vKXzfj4uLn55ptNkY3Uhtd5HkC5IfI1CZBANQngLBRP4Lds2eIAwGU83jAf9SS7mqS8o6aZenlwjQQqSwD3Qnfu3GkeeOABxzyvu+66Qp99Zh1I3jPNmjj7IwFlBHApj08fHThwwHmY9Oijj/IstIEYee6ZNnB85CG9vb2e7xAMqvzEE08Ebc5lGz5/i6/ziirYj3paShw/XLIhDloKtMQxxhNinCVpKNAR98XC2nIi6bw7dOiQue2225x/l112mfP+UNwLzfpyPsm8Qww0zbug3PSYKd7MKm9oDapc77ZXXn7ZrFq5MtRQt3ZtNXv37Km3WWv1cWP9+qVLQyc7Jg32o56WAn7gGFRgpOCPOGgp0BLFGEZw6y23aJHr6ICesD9IkhP4cg4t5eBTT0XOu9WrVpuvfvWrRj7SuW/fPrNo0aLc3tYUN+/A/toFC1Obd2n73ETca65y3jkzaviXZuna0lVbsXx5bXx83NNs2HZPpRxWenp6anPa2mrDw8Oe3rGO7divqYAr+IKnu4Rtd9fJ6zW0BjEOY5+XTuk3LPay3c9ejstrKbH3z7uDBw/WZs2aVTv33HNrP/vZz/KSF9hvWOyxHZ6U5ryz4XMYlHGPzFYnfuP0r7s1aHjtD6xMmjQDmuY4ZfLIpPavp9lXWm1Bq9tQ/czT6ietdvw5IOvCPK1+0mpHcgCGevTo0dqCBQscI130V3816cQmrT6bbcefA1hP20ih0ZbPZWKmGIAYqCwRbM1FAuteatYrk0f4ap3kbobQCEPdt3evx1jddTS9FgMVvdoZw0T//OKLnTPRVStXBV4hauILLTLfwNiGkaKPwpspBrFk8WJnIKOjo9piGKhHAoplEQq4IlHAuSils6PD2qSxwUDOlqBba0EebNq0qdba2lrbtWtXre2qqwo17/BHCnlsa97ZMlPPA6iJG6kWXuAhybSzzjKr1qwx31y7NvShlIWuG2oSDxa+v3GjoxdLrGsueNgEruALzmEPpTSNAQ8Weg4dMjeuWG46b79dPWPkAHRCL3SHPZTKizFyYM+ePeYzn/mMIwHf3vT6qdfNn110kblm/rxCzDsw/e769YWZd55Yu/+62nJs/KVx3wz3r7s1aHgtl3M4C0GRSw9s11jcl/jQ51/XqNnPFDnhvoeqTbPkBHSiyLrkSN56n3vuOee+6OrVq2tDQ0OOHPc8k5xwz8O8Nfv7B0t4kDD154i/fqPrtnzO+j1Td0Ddgw/b7q6Tx+uwSWIrsM2OUSaJTHJpL2y77M9zGcYSY9BoqJITfsayXSZ/HkxxSb9u3Trnkh5P66UEzS/JCY2GCoZuI5VxhOWK7G9kiX5sFI+Zpt3B9m3bPGek/vYl4P7tea3HTQ4bgW12rJgY/kkubcrkQRy0lDiGGAsMVct9deiAnjDGkjN9fX2ZI37sscccE73//vs9T+ij5p3kBPJGSwG7ICMVfXE5I/XyXlo1U0BA8KJKd3d31O5M9/X399fiJgX2o56WEscP/BEHLQVaYEBRBWPSZKZxjDGeLHMCl/Ht7e3Ov2PHjk1CGTfvkBO2Hu5MEpNgQxHnXdCw+EUnnjvIXCEB3QTwgOnaa681u3fvdj61pFtttdTxi06qFW+OtqAE8B0Ba9ascdQPDQ2Z6dOnF3Qk5ZXteWuUtc+slpcfR0YC1gk8/vjjztud5s2b5/wcMo20OeS2fI5nps3FhUeTgDUCeN/oXXfdZZ555hmzfft25/flrXXGhpsm4Dkzbbo1NkACJJAKgeHhYfOFL3zBaWvXrl000lSo2m2EZ6Z2+bJ1EqibAC7rr7nmGvPYY4+ZuXPn1n08D8iHAM00H+7slQQmEXBf1vMh0yQ86jfwMl99iCiwCgRwWf/1r3/dGSou6/mQqXhRp5kWL2ZUXDICfX19zntG8bS+o6Mjt2+8LxnWzIfDy/zMkbNDEvgjAbwJ/4477jA/+MEP+Eugf8Ri/dXxwROp98FPQKWOlA2SQDICmzdvNvhBRCx5WZ+MmeZaPDPVHB1qKyUBPGhy3x9taWkp5TirNijeM61axDneXAnIg6ZZs2Y5n2aikeYajlQ7p5mmipONkUA4ARgpflL5qquuMvh9epZyEfBc5uMzqyg2bs6WCxtHQwL1ERAjxcdDr7jiivoOZu1UCdjyOY+ZpqqYjZEACTgEDh06ZK688kpz8OBBGmmJc4JmWuLgcmj5E4CR3nrrrea5557jW5/yD4dVBTRTq3jZeJUJiJHivaR861P5M4EPoMofY44wBwI00hyg59wlzTTnALD78hGgkZYvpklGRDNNQol1SCAhARppQlAlrEYzLWFQOaR8CNBI8+HeSK823v7Jz+Y3EgkeQwI+AjRSH5AKrtJMKxh0DjldAnhD/vvf/36+/SldrIVrjZf5hQsZBWsiIJ9swhvyL774Yk3SqCVjAjTTjIGzu/IQECPlR0TLE9NmRuK5zLf1mdVmBPJYEtBIQL5GD19asmzZMo0SqSmEgC2fs3pm2tvba5B0UQVfjqulDAwMmCNHjkTKwX7U01Li+IE/4qClQMvIyEikHIxpbGwssk5WO6HDnxNipPgaPRgpxqMpJ+LmHfQ/uG9fVghj+ynivAsalFUzfeXll82qlStDDXVr11azd8+eIF25bBsfHzfXLlgYaj5IUuxHPS0F/MAxqGDSgD/ioKlcv3RpqKFiLH//ne9okmtuveUWT0788Ic/dPTha/RgpBiPppyImneSE/g5aS0lybxDDKZOnapFcrCOmqucd86MGv6lWbq2dNVWLF9eGx8f9zQbtt1TKYeVnp4ehwGW7hK23V0nj9fgCr7g6S5h29118noNlnPa2mrDw8MeCRhD0HZPpRxWoBO6oHv37t21BQsWOPns3p6DrMgug+aX5ETQfIxsLIOdYfMrLFeakWTD56DHuEXZ6sQfWP+6W4OG1/7A+tc1aHRrkEkCrij+dXddLa/9kwTaNRqp8IJxtn7847WZM2fWhoaGnD8EYrBSR9vSPc8kJzQaqXDzzzN/jki9Zpe2fC4TM8XgJbCyRHA1Fwks9AI+1jUXmSzCF0vtRSbLhvXrVRspOMJAZ82a5Rjqvr17J85UtTOWfICJajZS4eied7b+uBbeTAFryeLFjjGNjo4KO9VLMdIiGBNAgisSBZyLUjo7OtT/scIfqvb2ducS3z3Zi8AY2mFKyIuizTv80bJRbJmp1QdQ7ru0eLAw7ayzzKo1a8w31+3UnkwAABNnSURBVK4NfSjlPibP13jY9N316x29WGJdc8GDBXAFX3AOeyilaQzQ2HPokPnexrtM5+23hz6Uylsz3kd67rnnmksvvdTRCb0/+fGP1OcEuG3etMnMvPDCQs07sAXjlX9zayEYT+SnDef3tymXGnJp71/31897Xc4+sETxr+etz9+/+xIf+/zr/voa1pED7ss4MHava9AIDXjghLPS48ePey7tNT98Enb+eeZfl3palv4c0D7v/Nw890z9O9NYDwtg2PY0+mymjbAAhm1vpq80jg0zzrDtafTZbBuIfZBx+idTs/00e/yxY8dqra2ttV/+8pceI5V2NRtq2PwK2y5jymsZFnut8y6Ik1Uz3b5tW+RNbwlskLA8tvX19UXev5PAop6WgocK4BhUxFARBy0FWoKMVPTJpMr7/h7YwUj3798faKSiVwxVU04Ucd7F5QTuc2piLPF3L62aKSYGkjKqdHd3R+3OdF9/f39swBBQ1NNS4viBP+KgpUALDCiqgHHeZrpu3brapk2bHB1xkxjj0ZQTRZx3SXJCE+Og/OVn8yfuHvMFCfx/Avh00JYtW8yuXbtMS0sLsZSMgK3P5vPXSUuWKBxOcwTwTVBr1641+EVRGmlzLKt2dGZvjaoaWI63mAS+9a1vmW984xv8aeZihi9X1TTTXPGzc00EcDaKsmjRIk2yqKUgBHiZX5BAUaZdAri8v/baa83Q0JDdjth6aQnwzLS0oeXA6iGAy/vdu3fz8r4eaKzrIUAz9eDgShUJ8PK+ilFPf8y8zE+fKVssEAFe3hcoWMqlet5nqlwr5ZFA6gRuu+02c9lll/GhU+pkq9cgL/OrF3OO+A8E8Ob8/v5+GikzIhUCPDNNBSMbKRoBfGVhW1ub2b59u7nggguKJp96FRLgmanCoFCSfQL4UbyFCxfSSO2jrkwPngdQtj6zWhmaHGghCOCh0wMPPGAeffTRQuilyHQJ2PI5npmmGye2VgACd999t/OR0WnTphVALSUWhQDNtCiRos5UCBw6dIgPnVIhyUb8BGimfiJcLzWBO++806xevbrUY+Tg8iFAM82HO3vNgQA+6YQn91dccUUOvbPLshPwPIAq+2A5vuoSwFuh7rjjDuetUNWlwJHbJMAzU5t02bYaAo888oiZPXs23wqlJiLlE8Iz0/LFlCPyEZCzUr4VygeGq6kS4CegUsXJxjQSwHtK33jjDXPzzTdrlEdNJSFAMy1JIDmMYAJjY2PmrLPOMqOjo4bvKw1mxK3pEOA903Q4shWlBHbu3Gk2bdpEI1UanzLJ4plpmaLJsXgIyJeZ4F4pz0o9aLhigYDnzBSfWZXPrVroi02SQKYE8AR/2bJlNNJMqevvzJbPecxUPwYqJIFkBOQJ/ty5c5MdwFok0CQBmmmTAHm4TgJ8X6nOuJRZlVUz7e3tNSMjI6H8cPbw4L59ofuz3jEwMGCOHDkS2S32o56WAn7gGFawD3HQUuJyAjqfeOIJg6fwzRS8Haq9vb2ZJpxjoQN6ogpyXFNOgHFcTnDeRUW0sX1WzfSVl1821y9dGmioCPaqlSsNfjpCS5k6daq59ZZbQs0HSYr9qKelgB84Bk0eYYw4aCphOQGNW7u2mr179piWlpaGJeOboVDS+gb9v//OdxxdQYJgpBjP+Ph40O5ctiHecTnxr//6f3PRFtRpEedd0DhMzVXOO2dGDf/SLF1bumpz2tpqw8PDE82Oj4/XVixf7vzDa00FOqG3p6fHIwvr/nF4KuS0EsZStoO/thLGElqRF83mRHt7e+3gwYOpDVtyws9StvtzJbWOm2goiKXmnAhjGZYrTaBxPC5tn4Me62aKThBYMSIJaBqTphmgUcf6A2sjoFH917vPz1TW/ZO/3nZt1vczDZr8jfR/7NixWmtrayOHRh4jOSFMZV2jkcpA3EyLkBN+pv4ckXE1u7Rx0ghNnveZytuijg+eCDyLbWYjLt9+8uMfmZkXXug0893vfa+pS7lmtCQ5Vi7fFv/1Ekf3th07zNlnn53k0FzqyCW9dP6Rj3zUfG3512RV5RK3TTpvv93Mmz/fDA4OmjRyYvPmzeZ973uflV8clZyA3kf27zfr/uEfzOWXX66SrYjCvHv++aPOahFyQhjbnHfWfK5Zl096PP4y4uwUfxX6+/uTHpZrvX179zp6sSxCGR0ddfSCM3gXoXR2dKSWExizMaYGDrYKzpaQw9BdhCLzrkg5UbR5J3lg9QGU/HWUsyacla5as8bceMMNgQ+lpL6GJc6avr9xo9m2a6ezxLrmAsbfXLvW4etwDnkopWkMOGs6deqU2XrvPankxFNPPWXWrVtn7U36OGvCmfT3Nt5leg4dCn0opYWxzDuc5eFf2EMpLXqho2jzzsNOXNXWEn8Z/Q+bcC9H7qHa6reZdv33avz3cppp28axwlju58m65vvS7vt5YOJn3ginBQsW1J577rlGDo09xp8Dsi7MYxvIuILkgFufn3nGkmK78+eAMMb2IhTPA6i0BUtAgyY1AqvRUP0BFSZaAyuM3ZMGmmV7EHsZU17LsEkdxj6JTjx4gpnaKGGxl+1+9jY01NOmxD5IVxj7etq3UTcs9sK4CIbqMdO0n3JtWL8+8q0uCCwMVUvp6+uLNHgJLOppKTDLoEkDfTKpEActZfu2bZE5IZOq3vuemzZtqt1///2pDxM6kKNhkxk5gRh0d3en3nejDSLeYTmBNsVQG20/7eOynndp+5zwsPo0H/eY8G09UW/AxidHzj//fM+th7xW5FM3Ud8wlKROlvrj+OG+GTRreSdCkpxIUsfP+JJLLjE2vh0qCT/Uwb+ovPHrtbkOfnHxjssbm/r8bSeZU0nq+NsNW7f1NN+qmYYNhttJIE0C+MTTfffdZ+655540m2VbJSVgy0wzeZpf0phwWEoIPPnkk+bzn/+8EjWUUVUC/EG9qka+JOPG5XVnZ6eqz8aXBC2HUScBnpnWCYzVdRE4fPiw897SqPvyuhRTTVkJ0EzLGtmKjAuX+G1tbRUZLYepmQAv8zVHh9oiCfASPxIPd2ZMwPM0P+O+2R0JNEUAT/FxZtrR0dFUOzyYBNIgwMv8NCiyjVwIwEg/8YlP5NI3OyUBPwGemfqJcL0wBM444wwzOjqq5s3yhQFHoVYI8MzUClY2aptAX1+f8xtPWj51ZHu8bF8/AY+Z4pMB8ukA/dKpsMoEjh49aubNm1dlBBx7gwRs+ZzHTBvUxsNIIHMCe/bsMfg8PgsJaCFAM9USCepITABfevHrX//aTJ8+PfExrEgCtgnQTG0TZvupE3j22WfNwoULU2+XDZJAMwRops3Q47G5EICZ8lNPuaBnpxEEaKYRcLhLJ4F9+/aZmTNn6hRHVZUlQDOtbOiLOfDh4WHnp5z5lqhixq/MqmmmZY5uCcf24osvmquvvrqEI+OQik7A80UnxwdPFH081F9yArhfyo+QljzIlodny+d4Zmo5cGw+XQLPPPOMufDCC9NtlK2RQAoEaKYpQGQT2RDg+0uz4cxeGiNAM22MG4/KgcDJkyfN7Nmzc+iZXZJAPAGPmdr6zGq8DNYggXgCr7zyirnsssviK7IGCUQQsPX9Ix4zjeifu0ggdwJPP/20+eAHP5i7DgooPgEbhkozLX5eVGYEBw4cMB/4wAcqM14OtFgEaKbFildl1eLhEwrfrF/ZFFA/cJqp+hBRIAjw4RPzQDsBa2ba29tr8C+q7Ni+3YyMjERVyXRfEs1J6mQp+s4NGwx+pTOsgC84aynQ0khe4OHTRRddlPkwkvDTlhNx8wr5grzRUpLwS5I3eY/Hmpni3lbn7beHTpytXVvND++917S0tOTNYKL/OM0IOsak6b7dO97xTrNq5cpAQ4URXL90qfngeedNjDHvF9By/Reui8yLnp6eSZfzL730knnve9+buXzcVoAe5GtQQU5gPFOnTg3ands2xD3oRAVGinxB3mgpcfNOvELTvAtkV3OV886ZUcO/tMrw8HBtTltbraenx9Nk15YuZzv2aythmjEGjEWjZvBcsXx5bXx8fAJn2DgmKuT4AiyRZ0F54R+HyGxvb68dO3ZMVjNdgit0gbO7hI3DXSev10FzLGwceWl09xuWr0HjcB/XyOu0fU40GHlha+mHZANO2tr9mjUbqYwdXMWI/Pqljqal34jc+oN0GmM8fyyC6tjc5jciv36bfTfatnuu+fU32qbN4/x569Zvs9+02rZuphAqkDo7OtSe3fmBiuYiBVQMKehqwD8+DetiSMgL+UMQpGt0dLTW2toatCvTbWJI0Bt0Zp2pmISdSf4GnVknbCLTajLviuQVAigTM0VnG9avdxJw39690rf6JbRi0hRFMxIRepcsXpzrWVw9gRVj6u7uDj0Ml/erV68O3Z/lDugEY+guQsEfAPxxhWbkRxFKEb0CXK09gHLfoMUN5Ef27zfbdu0039+4MfThg/uYvF/jwQK0FkWzPGyC3rbZc0IfSuXN1d0/8uLUqVNm6733mK+13xCaF4ODgyoe+iEnoBN6Hd0hD6XcY8zztTxsWvzXS8yqNWuch5FBD6Xy1Ojvu4heMTEG918q/PXCvzSLXGbIX0U5jcclntYCbe6HTdo1B+mTS36cmWgsfn1yyR+UF7t3767hX57Fr08u+TEOjSVIn38uatPt1xeU12loTtvjRJPnMj9tM/XDkU5tQZL2m1n6jVTa0qo5Shf4R92LlLFlvQzT5Tcs0bVu3brawYMHZTXzZZiuIMPKXFxAh1G6wuZkQDOZbgrTFZXfjQpM2+dEhzUzxb0l99mddChLgYSlltLX15dIM+ppKXEPm5CkuAelpWzfti3S4MW43HmB+6V5vS0KOjD5oCuoiHFF3fMNOs7mNsQbcQ8rYlxh+7PentQr0pp3tsz0DICTa375JpU0vtY/yWepUQdv2tfyxv2kmsFLy2fEcQ/s7LPPlhAGLpPUCTzQwkZoAbuomPvrLFy40GzevNlMnz7dgqLoJnHfEXkRxRh18K9IOTEwMGDOP//86MFntDfreZemz7kRWTNTdyd8TQLNEDjjjDNwBdVMEzyWBCYI2DLTTJ7mT4yCL0igTgI442MhgSIQoJkWIUoV1jg0NGTa29srTIBDLwoBmmlRIlVhne9+97srPHoOvSgEznQLTePBk7s9viaBZgmMj4832wSPJwEPAVs+xzNTD2auaCPAH9HTFhHqCSNAMw0jw+0kQAIkUAcBmmkdsFiVBEiABMIIeMwU77+S92CFHcDtJJAlgTfffDPL7thXBQjY8jiPmVaAI4dYMAIvvPBCLr/9VDBMlFsnARuGSjOtMwisTgIkQAJBBDxvjZIKbtcOehuBe78cI0vWN5G3SorOB3H2jyEqH9Ko/+k5nzRTpkyRFJu0zFpPveOF4Khj/PpZ3xti23y8vTW+VveZaVRSBMkoWv2i6fUzt63f3x/X4wnYjom29uOIFE1v3Hhkv+eLTmQjlySghcBtt93mfJz0ggsu0CKJOkggkEDdZ6aBrXAjCVgi8Pjjj5u33nrLUutslgTSI0AzTY8lW0qZAH5z6dUTg+bxxx5LuWU2RwLpE+BlfvpM2WJKBOZdc415+ul/Mf/1ve81/6fvucgvlE6pSzZDAg0T4Jlpw+h4oE0COCsdHho2b3vbFOdb7Pfs3m2zO7ZNAk0T4Jlp0wjZgA0COCsdONY/0fQ73vlO0/MvT/PsdIIIX2gjwDNTbRGhHiNnpW4U//7GG4Znp24ifK2NAM9MtUWEeoz/rFSQ8OxUSHCpkQDPTDVGpcKacFY6+MqJQAI8Ow3Ewo1KCAR+nFSJNsqoIIGXXnrJfPLTn54Y+WP795tr5s+fWH/11VcnXvMFCWgiwMt8TdGglkkE8NHDoM9mT6rIDSSQMwFe5uccAHZPAiRQDgI003LEkaMgARLImQDNNOcAsHsSIIFyEKCZliOOHAUJkEDOBGimOQeA3ZMACZSDAM20HHHkKEiABHImQDPNOQDsngRIoBwEaKbliCNHQQIkkDMBmmnOAWD3JEAC5SBAMy1HHDkKEiCBnAnQTHMOALsnARIoBwGaaTniyFGQAAnkTIBmmnMA2D0JkEA5CNBMyxHHUo5iYGDAGZcsSzlIDqo0BGimpQlleQbyzDPPmE/NnmMWX/s5Z1BY/vlHZ5n9//RP5RkkR1I6Avw+09KFtNgDOnDggLnpxq+Zt956a9JApkyZYm5dtdJ89cYbJ+3jBhLImwDNNO8IsP8JAqdPnzZXXv4X5t9ef31im/9Fy9QW8+TBg2batGn+XVwngVwJ8DI/V/zs3E2gv7/f/Mfp0+5Nk16fHj9tHtm/f9J2biCBvAnQTPOOAPufIDB44kTg5f1EhT+8eP755/2buE4CuROgmeYeAgoQAv/5T/9UXkYuZ8w4N3I/d5JAHgRopnlQZ5+BBGbOnGlwTzSq4CHUrItnRVXhPhLIhQDNNBfs7DSIwNlnn20++5d/GbRrYttHLp5lLr/88ol1viABLQRoploiQR0Ogb/9u78zn5r7aYMzUHfBGevHWj9h7tq40b2Zr0lADQG+NUpNKCjETaC3t9c8uG+feXXwVTPtrLPMZz8738z55CdNS0v0bQB3G3xNAlkSoJlmSZt9kQAJlJbA/wMeO2b544umpgAAAABJRU5ErkJggg==" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The electron’s path while in the region of magnetic field is a quarter circle. Show that the</p>
<p>time the electron spends in the region of magnetic field is 7.5×10<sup>−11</sup>s.</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>A square loop of conducting wire is placed near a straight wire carrying a constant current <em>I</em>. The wire is in the same plane as the loop.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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" alt></p>
<p style="text-align: left;">The loop is made to move with constant speed <em>v</em> towards the wire.</p>
<p style="text-align: left;">(i) Explain, by reference to Faraday’s and Lenz’s laws of electromagnetic induction, why work must be done on the loop.</p>
<p style="text-align: left;">(ii) Suggest what becomes of the work done on the loop.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>\(t = \frac{1}{4}\frac{{2\pi \times 4.5 \times {{10}^{ - 4}}}}{{9.4 \times {{10}^6}}}\);<br>=7.5×10<sup>−11</sup>s </p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) the flux in the loop is changing and so (by Faraday’s law) an emf will be induced in the loop;<br>(by Lenz’s law) the induced current will be (counter-clockwise) and so there will be a magnetic force opposing the motion;<br>requiring work to be done on the loop;</p>
<p>(ii) it is dissipated as thermal energy (due to the resistance) in the loop / radiation;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</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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"></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>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>area = \(\frac{{1.7 \times {{10}^{ - 3}} \times 35 \times {{10}^3}}}{{64}}\) «= 9.3 x 10<sup>–6</sup> m<sup>2</sup>»</p>
<p>radius = «\(\sqrt {\frac{{9.3 \times {{10}^{ - 6}}}}{\pi }} = \)» 0.00172 m</p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>I</em><sub>peak</sub> «\( = \frac{{{P_{peak}}}}{{{V_{peak}}}}\)» = 730 « A »</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>resistance of cable identified as «\(\frac{{64}}{{32}} = \)» 2 Ω</p>
<p>\(\frac{{{\text{a power}}}}{{35000}}\) seen in solution</p>
<p>plausible answer calculated using \(\frac{{{\text{2}}{{\text{I}}^{\text{2}}}}}{{35000}}\) «plausible if in range 10 W m<sup>–1</sup> to 150 W m<sup>–1</sup> when quoted answers in (b)(ii) used» 31 «W m<sup>–1</sup>»</p>
<p> </p>
<p><em>Allow <strong>[3]</strong> for a solution where the resistance per unit metre is calculated using resistivity and answer to (a) (resistance per unit length of cable = 5.7 x 10<sup>–5</sup> m )</em></p>
<p><em>Award <strong>[2 max]</strong> if 64 Ω used for resistance (answer x32).</em></p>
<p><em>An approach from \(\frac{{{V^2}}}{R}\) or VI using 150 kV is incorrect (award <strong>[0]</strong>), however allow this approach if the pd across the cable has been calculated (pd dropped across cable is 1.47 kV).</em></p>
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«\(\frac{{{\text{response to (b)(ii)}}}}{{2\sqrt 2 }}\)» = 260 «A»</p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>wires/cable attract whenever current is in same direction</p>
<p>charge flow/current direction in both wires is always same «but reverses every half cycle»</p>
<p>force varies from 0 to maximum</p>
<p>force is a maximum twice in each cycle</p>
<p> </p>
<p><em>Award <strong>[1 max]</strong> if response suggests that there is repulsion between cables at any stage in cycle.</em></p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>higher voltage gives lower current</p>
<p>«energy losses depend on current» hence thermal/heating/power losses reduced</p>
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>laminated core</p>
<p> </p>
<p><em>Do not allow “wires are laminated”.</em></p>
<div class="question_part_label">e.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.iii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.ii.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is about electromagnetic induction.</p>
<p>A metal ring is placed in a magnetic field which is directed upwards. The magnetic flux through the ring increases over a time interval.</p>
<p><img 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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>State and explain the direction of the current induced in the ring during this change.</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 following data are available.</p>
<p style="padding-left: 30px;">Resistance of ring = 3.0×10<sup>–3</sup>Ω<br>Initial magnetic flux = 1.2×10<sup>–5</sup>Wb<br>Final magnetic flux = 2.4×10<sup>–5</sup>Wb<br>Time interval = 2.0×10<sup>–3</sup>s</p>
<p>Calculate the average current induced in the ring.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>field caused by (induced) current must be downwards;<br>to oppose the change that produced it;<br>hence the current must be clockwise;</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>\(\varepsilon = \left( {\frac{{\Delta \Phi }}{{\Delta t}} = } \right)\frac{{2.4 \times {{10}^{ - 5}} - 1.2 \times {{10}^{ - 5}}}}{{2.0 \times {{10}^{ - 3}}}}\) or 6.0×10<sup>-3</sup>(v);</p>
<p>\(I = \left( {\frac{\varepsilon }{R} = \frac{{6.0 \times {{10}^{ - 3}}}}{{3.0 \times {{10}^{ - 3}}}} = } \right)2.0\left( {\rm{A}} \right)\);<br><em>Award<strong> [2]</strong> for a bald correct answer.</em></p>
<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">This was generally very well answered with candidates recogniz</span><span style="font-size: 10.000000pt; font-family: 'Arial';">ing how Lenz’s Law relates to the </span><span style="font-size: 10.000000pt; font-family: 'Arial';">situation. The point that was most commonly missed was the direction of the field caused by the induced current. </span></p>
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<div class="question_part_label">a.</div>
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<p><span style="font-size: 10.000000pt; font-family: 'Arial';">As with many of the calculation questions on this paper, this was very well answered. </span></p>
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<div class="question_part_label">b.</div>
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<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>
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"></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 style="text-align: center;">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 style="text-align: center;"><img 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"></p>
<p style="text-align: left;">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 style="text-align: center;"><em>T</em> = \(2\pi \sqrt {\frac{m}{k}} \)</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>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>«\(v = \sqrt {\frac{{G{M_E}}}{r}} \)» = \(\sqrt {\frac{{6.67 \times {{10}^{ - 11}} \times 6.0 \times {{10}^{24}}}}{{6600 \times {{10}^3}}}} \)</p>
<p>7800 «m s<sup>–1</sup>»</p>
<p><em>Full substitution required</em></p>
<p><em>Must see 2+ significant figures.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>Y has smaller orbit/orbital speed is greater so time period is less</p>
<p><em>Allow answer from appropriate equation</em></p>
<p><em>Allow converse argument for X</em></p>
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>to stop Y from getting ahead</p>
<p>to remain stationary with respect to X</p>
<p>otherwise will add tension to cable/damage satellite/pull X out of its orbit</p>
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>cable is a conductor and contains electrons</p>
<p>electrons/charges experience a force when moving in a magnetic field</p>
<p>use of a suitable hand rule to show that satellite Y becomes negative «so X becomes positive»</p>
<p><em><strong>Alternative 2</strong></em></p>
<p>cable is a conductor</p>
<p>so current will flow by induction flow when it moves through a B field</p>
<p>use of a suitable hand rule to show current to right so «X becomes positive»</p>
<p><em>Marks should be awarded from either one alternative or the other.</em></p>
<p><em>Do not allow discussion of positive charges moving towards X</em></p>
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>electrons would build up at satellite Y/positive charge at X</p>
<p>preventing further charge flow</p>
<p>by electrostatic repulsion</p>
<p>unless a complete circuit exists</p>
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>«<em>ε</em> = <em>Blv =</em>» 31 x 10<sup>–6</sup> x 7990 x 15000</p>
<p>3600 «V»</p>
<p><em>Allow 3700 «V» from v = 8000 m s<sup>–1</sup>.</em></p>
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>use of <em>k</em> = «\(\frac{{4{\pi ^2}m}}{{{T^2}}} = \)» \(\frac{{4 \times {\pi ^2} \times 350}}{{{{5.2}^2}}}\)</p>
<p>510</p>
<p>N m<sup>–1</sup> <em><strong>or</strong> </em>kg s<sup>–2</sup></p>
<p><em>Allow MP1 and MP2 for a bald correct answer</em></p>
<p><em>Allow 500</em></p>
<p><em>Allow N/m etc.</em></p>
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p><em>E</em><sub>p</sub> in the cable/system transfers to <em>E</em><sub>k</sub> of Y</p>
<p>and back again twice in each cycle</p>
<p><em>Exclusive use of gravitational potential energy negates MP1</em></p>
<div class="question_part_label">f.ii.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.ii.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">d.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">e.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.i.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">f.ii.</div>
</div>
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<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">This question is in </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">two </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">parts. </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 1 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">is about electromagnetic induction. </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 2 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">is about nuclear fusion. </span></p>
<p><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPS'; font-weight: bold;">Part 1 </span><span style="font-size: 12.000000pt; font-family: 'TimesNewRomanPSMT';">Electromagnetic induction<br> </span></p>
</div>
</div>
</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p> A bar magnet falls vertically from rest through a coil of wire. The potential difference (pd) across the coil is recorded by a datalogger.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>The graph shows the variation with time of the pd across the coil.</p>
<p> </p>
<p><img 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" alt></p>
<p> </p>
<p>(i) Explain, with reference to Faraday’s and Lenz’s laws, the shape of the graph.</p>
<p>(ii) The coil has 1500 turns. Calculate the magnitude of the maximum rate of change of magnetic flux.</p>
<div class="marks">[6]</div>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>The magnet is now suspended from a spring. The magnet is displaced vertically and starts to oscillate in and out of the coil. A sinusoidal alternating current of rms value 280 nA is induced in the coil.</p>
<p>(i) State in words how the rms value of the alternating current relates to a direct current of 280nA.</p>
<p>(ii) The coil has a resistance of 1.5MΩ. Calculate the peak voltage across the coil.</p>
<p>(iii) Explain what effect the generation of the current has on the oscillation of the magnet.</p>
<div class="marks">[5]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) rate of change of flux (linkage) leads to induced emf (Faraday);<br>direction of emf tends to oppose the change (Lenz);<br>thus emf in one direction as magnet enters and in the opposite direction as it leaves coil;<br>magnet going faster so second peak larger;<br>magnet going faster so width of second peak is less;</p>
<p>(ii) attempted use of \(\varepsilon = - N\frac{{\Delta \varphi }}{{\Delta t}}\)<em>;<br></em>recognition that the maximum pd is 0.8 (V);<br>\(\left( {\frac{{\Delta \varphi }}{{\Delta t}} = - \frac{{0.8}}{{1500}} = - } \right)5.3 \times {10^{ - 4}}\left( {{\rm{Wb}}{{\rm{s}}^{ - 1}}} \right)\)<em>;</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) the value of the direct current (or voltage) that dissipates same power (in a resistor);<br><em>Do not allow \(\frac{{{I_0}}}{{\sqrt 2 }}\) etc.</em></p>
<p>(ii) <em>I</em><sub>0</sub>=396 (nA);<br><em>V</em><sub>0</sub>=<em>I</em><sub>0</sub><em>R</em>=0.59 (V);</p>
<p>(iii) damps oscillation / <em>OWTTE</em>;<br>dissipation of energy in coil/magnet;</p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
<p>(i) This was generally poorly answered, with candidates often failing to refer to Faraday’s and Lenz’s laws or the specifics of the graph.</p>
<p>(ii) Many candidates used the correct value for the potential difference but were unsure of the meaning of rate of change of magnetic flux; it was commonly believed that this was simply <em>Φ</em> which left candidates searching for a time value.</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i) The definition of the rms current in terms of the equivalent direct current was very poorly known and many simply said that it was the peak value divided by root 2.</p>
<p>(ii) Few managed to do this well with the most common (incorrect) answer being 0.42V.</p>
<p>(iii) Although many hinted at damping, few candidates overtly mentioned it or related it to the dissipation of energy in the coil.</p>
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>This question is in two parts. <strong>Part 1</strong> is about the electrical and magnetic characteristics of a loudspeaker. <strong>Part 2</strong> is about vibrations and waves.</p>
<p><strong>Part 1</strong> Electrical and magnetic characteristics of a loudspeaker</p>
<p>The diagram shows the main features of a loudspeaker L. A current-carrying coil is positioned within the magnetic field provided by a permanent magnet. The diagram also shows the directions of the magnetic field and of the current in the coil at a particular instant. The dust cap D prevents dust from blocking the gap between the cardboard tube and the south pole of the magnet.</p>
<p><img 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" alt></p>
<p>The coil consists of 150 turns, each of average diameter 2.5 cm. The magnetic field of the permanent magnet has strength 0.40 mT. The peak current in the coil is 0.45 mA.</p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Identify, <strong>on the diagram</strong>, the direction of the force on the coil with the current directions shown.</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>Calculate the maximum magnetic force acting on the coil.</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>Explain, with reference to electromagnetic induction, the effect of the motion of the coil on the current.</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>force in correct location on diagram, <span style="font-size: 11.000000pt; font-family: 'Arial'; font-style: italic;">ie </span><span style="font-size: 11.000000pt; font-family: 'ArialMT';">arrow on coil; <br>force direction to the right;<br> </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-style: italic;">Award </span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-weight: bold; font-style: italic;">[1 max] </span><span style="font-size: 11pt; font-family: 'Arial'; font-style: italic;">i</span><span style="font-size: 11.000000pt; font-family: 'Arial'; font-style: italic;">f any other forces drawn. </span></p>
<div class="question_part_label">a.</div>
</div>
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<p>\(L = \left( {2\pi rN} \right) = 2 \times \pi \times 1.25 \times {10^{ - 2}} \times 150 = \left( {11.8} \right){\rm{m}}\);</p>
<p>\(F = \left( {{\rm{BIL}}} \right) = 0.40 \times {10^{ - 3}} \times 0.45 \times {10^{ - 3}} \times 11.8\);</p>
<p>\( = 2.1 \times {10^{ - 6}}{\rm{N / 2.1}}\mu {\rm{N}}\)</p>
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<p><span style="font-size: 11.000000pt; font-family: 'ArialMT';">(as the coil moves the) conductor cuts the magnetic field / there is a change in flux linkage;<br>induces an emf across the coil / a current through the coil;<br>opposes the driving potential difference;<br>reduces the (net) current; </span></p>
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<p>This question is about the emf induced in a coil.</p>
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<p>Define <em>magnetic flux</em>.</p>
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<p>A coil is rotated at constant speed in a region of uniform magnetic field.</p>
<p>The graph shows the variation with time <em>t</em> of the emf <em>ε</em> induced in the coil for one cycle of rotation.</p>
<p><img src="data:image/png;base64,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" 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<p>(i) On the graph label, with the letter T, a time at which the flux linkage in the coil is a maximum.</p>
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<p>(ii) Use the graph to determine the rate of change of flux at <em>t</em>=4.0ms. Explain your answer.</p>
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<p>(iii) Calculate the root mean square value of the induced emf.</p>
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<h2 style="margin-top: 1em">Markscheme</h2>
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<p>the product of (the magnitude of) the <span style="text-decoration: underline;">normal component</span> of magnetic field strength;<br>and area through which it passes/with which it is associated;</p>
<p><strong><em>or</em></strong></p>
<p><em>φ = BA </em>cos <em>θ</em> ;<br> all terms defined/shown on a diagram;</p>
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<p>(i) letter T clearly marked at 5.0ms <em><strong>or</strong></em> 15ms;</p>
<p>(ii) 2.0V/Wbs<sup>-1</sup>;<br>emf equals rate of change of flux; {<em>(clear statement or equation must be present to award this mark</em>)<br><em>Use of slope to obtain answer is incorrect – this yields a value of 1.8.</em></p>
<p>(iii) 4.2V;</p>
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<div class="question_part_label">b.</div>
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<h2 style="margin-top: 1em">Examiners report</h2>
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<div class="column">Definitions of magnetic flux were mixed, ranging from complete and secure statements of the appropriate equation (with clear definition of the angle between the normal to the area and the magnetic field strength) to vague attempts that mentioned flux without a consideration of the direction between area and field direction.</div>
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<div class="question_part_label">a.</div>
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<p>(i) Many candidates wrongly identified either 0 ms, 10 ms or 20 ms as the point at which the flux linkage was a maximum.</p>
<p>(ii) Those that had a clear understanding of the relationship between emf and rate of change of flux moved quickly and unambiguously to the correct answer. Those who did not understand the physics evaluated the gradient at 4.0 ms and failed to gain credit.</p>
<p>(iii) The calculation of rms induced emf was well done by the vast majority of candidates.</p>
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<div class="question_part_label">b.</div>
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<br><hr><br><div class="specification">
<p><strong>Part 2</strong> Electromagnetic induction</p>
<p>The diagram shows a horizontal metal rod suspended by two vertical insulated springs.</p>
<p><img 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iAAAiAAAiAAAiAAAgYTuNLg9tAcCIAACIAACIAACIAACIAACIAACAgCEKS4EEAABEAABEAABEAABEAABEAABEwhAEFqCnY0CgIgAAIgAAIgAAIgAAIgAAIgAEGKawAEQAAEQAAEQAAEQAAEQAAEQMAUAhCkpmBHoyAAAiAAAiAAAiAAAiAAAiAAAhCkuAZAAARAAARAAARAAARAAARAAARMIQBBagp2NAoCIAACIAACIAACIAACIAACIABBimsABEAABEAABEAABEAABEAABEDAFAIQpKZgR6MgAAIgAAIgAAIgAAIgAAIgAAIQpLgGQAAEQAAEQAAEQAAEQAAEQAAETCEAQWoKdjQKAiAAAiAAAiAAAiAAAiAAAiAAQYprAARAAARAAARAAARAAARAAARAwBQCEKSmYEejIAACIAACIAACIAACIAACIAACEKS4BkAABEAABEAABEAABEAABEAABEwhAEFqCnY0CgIgAAIgAAIgAAIgAAIgAAIgAEGKawAEQAAEQAAEQAAEQAAEQAAEQMAUAhCkpmBHoyAAAiAAAiAAAiAAAiAAAiAAAhCkuAZAAARAAARAAARAAARAAARAAARMIQBBagp2NAoCIAACIAACIAACIAACIAACIABBimsABEAABEAABEAABEAABEAABEDAFAIQpKZgR6MgAAIgAAIgAAJWI1B09JjVuoT+gAAIgIDjCUCQOt7EGCAIgIBbCJSVnaaCgsO6D5fbyc3N072diooKx7Vz4MBB3bmdPXuWjGzn559/1nVMPB6+3vRsh6/pr7/ZTjk5h6jk+He6jgeVgwAIgAAIVCYQVvkjPoEACIAACNiNAN+o8w17cclxCgsLo7i466l27dqaD0PZTnx8Q9u3wwL+SNFRD7fw8HBduMntcOXMTa92ioqOUX5BoRhDXFwsRUVFivda/sfXgXc79WPqU0z9elo24alL5sZtRkVHad4Oi90c6W/nxImT4hpITm5FcbHXe9rHGxAAARAAAf0JQJDqzxgtgAAIgIBuBLxv2BtIAiQxsbm4sda6QXZlzM8vFLNURrUTIwmdJGk8eohrngXj2TAWOka1Ey0JquTWLXUZz4mTp8R4WGAZ2Q7bRw9xzTOW+7OySR6PHu14/+00jm9ECQlNdPnb0fpvEfWBAAiAgNMIXHFB2pw2KIwHBEAABJxOwPuGPSIiXBJuLXSZDeN2cnIPUXl5BRnVDgvQNtJMlR6ze+wGzDNipaVlQhga1U5SUgvNZ/f4GmfBliW5AcvjcUI73jOWPB6tZyy9/3ZYvOshdp3+/YPxgQAIgICWBCBItaSJukAABEBAZwJKF8NmzZpSfKOGmreqdM91QjvyjBi7NcszYlqDY25GtePtNtssQboOJFdgHpuWG4/HiHa4zzI3blO2j5bjUf7t6CF2tWSPukAABEDALQS0/eVyCzWMEwRAAARMIOB9w26U26wT2jHDPVdPN2Cz3HONcjfWY8bS+29HD7FrwtcBmgQBEAABxxDADKljTImBgAAIOJWAUS6GZrjn6ukGbJZ7LtyA/ftL9HY35plQPWYsjfrb8W/EOAsEQAAEQECNAASpGhXsAwEQAAELEDDKxdCJ7rneUYflGTGtTWqke648w8djsLt7rtINWLaP1u658tpavcSu1tcT6gMBEAABtxKAy65bLY9xgwAIWJqALED0Wk8nD96M6LlGuQHr6TZrhhuwkdFzjXLP1bodI8Su/LeDVxAAARAAAW0IYIZUG46oBQRAAAQ0IWCUi6F3O3q6zZrhBuzEKL16uQF7u80yNztH6VWurdVjLaomf+SoBARAAARAoBIBCNJKOPABBEAABMwhYJR7rrIdJ0TPdap7Lruayu6sWl+VyplEO7sBK0U1X9Nap4rRmj/qAwEQAAEQuEwALruXWeAdCIAACJhCwCj3XO92jHKbdUI7Zrjn6ulurJxJ1NptVv4j0rsdo0S1PB68ggAIgAAI6EMAM6T6cEWtIAACIFAjAW+3WV4fqJeLoZHt5OQeovLyCnKCGzCi9NZ4CaueoJyx1MMNWG+xqzow7AQBEAABENCFAASpLlhRKQiAAAj4JqB0m9Uj3QW3blQ7PFPl7TYLN2Dftvc+wtzkWWu93XPldrh9J7nn6iF2vW2E9yAAAiAAAvoTgMuu/ozRAgiAAAh4CMjCgMWIvD5Qy3QXckNmtOME91zvqMN6us2a4QZs5yi9cM+V/7LxCgIgAALOI4AZUufZFCMCARCwIAGli6ET3HP3Z2WLWVgnuOd6RwN2YpRevWYSjXDPVbqc67Xm1YJfG+gSCIAACLiCAGZIXWFmDBIEQMBMAgcOHKTikuPEM6HJya10iwDKbrNHio4a2g4LnfhGDXXBy7O8+QWFYjx6tsOzojk5h0Q77M6akNBEl/EY1Q7PvmZJDwv4etNzPPyQZc+efYKVXm7A3oZISWlLMfXree/CexAAARAAAQcQgCB1gBExBBAAAesRaN40wXqdQo9AAASCJpBXWBB0WRQEARAAARDwTQAuu77Z4AgIgAAIgIAPAiOGDRdHFrz/Zx9nYLfdCGRmZtK9/frTpyuWU2pqqt26j/6CAAiAAAjYlMCVNu03ug0CIAACIAACIAACIAACIAACIGBzAhCkNjcgug8CIAACIAACIAACIAACIAACdiUAQWpXy6HfIAACIAACIAACIAACIAACIGBzAhCkNjcgug8CIAACIAACIAACIAACIAACdiUAQWpXy6HfIAACIAACIAACIAACIAACIGBzAhCkNjcgug8CIAACIAACIAACIAACIAACdiUAQWpXy6HfIAACIAACIAACIAACIAACIGBzAhCkNjcgug8CIAACIAACIAACIAACIAACdiUAQWpXy6HfIAACIAACIAACIAACIAACIGBzAhCkNjcgug8CIAACIAACIAACIAACIAACdiUAQWpXy6HfIAACIAACIAACIAACIAACIGBzAhCkNjcgug8CIAACIAACIAACIAACIAACdiUAQWpXy6HfIAACIGAigcOHC01sHU2DAAiAAAiAAAg4hQAEqVMsiXGAAAiAgEEEKioqKD8vnzrf3NmgFtGMEQTSd+0SzSQmJhrRHNoAARAAARAAAUEgDBxAAARAAATcQ+BQ7iHatGkjHcjKotOnz9DGDRsqDb59WnuKjIwSYjOtQwdKTU2tdJw/bNm8Rexr2bJVlWPYYTwBfkCQmZFJO3fupKz9+4lnr/mBgbxF142mdu1SKT4+nlq1bk3dunej2NhY+bDn9e9ffknNmjej8PBwzz68AQEQAAEQAAG9CVxxQdr0bgT1gwAIgAAImEsgMzOTnn36aY9QYeHRpElTSm7ThurUifB0btvWbZJQLaOM9Ayxj8VMnz5302OjHveImF633UalpaW0K+PiOZ7CeGM4gQXz59M78+ZR6felou0ePXtKDxTqUOvkZE9fjh09RkVFRbR7d6bnPH7w8Miw4XRn7zvFeXx93NuvP018fhKNGDnSUxZvQAAEQAAEQEBvAhCkehNG/SAAAiBgMoGvtnxFDw8ZQiwuHx81iu7q08cjLn11jWfdeCZ0/T/X0coVK8VpLFbOnCmnuXPm0NTp02ngoIG+imO/AQRGSIKSZ7hZhA59+GHq0rVLja3KM+RLFi8WDydYmE564QUaOXy4KLtpyxbMkNZIESeAAAiAAAhoSQCCVEuaqAsEQAAELEiAhQu7ca5YtSoosXH8+HF6YdLzHvfevv360uzXX7fgSN3TJRaWd/TqRaPHjKFx48cFNfAli5fQzFdneGZNP12xXNVFO6jKUQgEQAAEQAAE/CSAoEZ+gsJpIAACIGB3AjzrGcxWUlJSqRivPcVmDQLlZ7SzRUV5cNeHNUigFyAAAiAAAnYlUGuKtNm18+g3CIAACIBAzQTiGzemd+e9QyuWL6crr7xSWjMaSXXr1a22IM+KssvuDMk191XpH68rHTtuHN3Yrh19smSJ5PIbR23btq22DhzUjwDbr6y0jBYtXEh79+ylsLCrKK5BHF199dXVNsozqx9++CG99OIL9OnSpZQsrTWd8/Zc2rVrJ61cuYIeHDy4xjqqbQAHQQAEQAAEQCBAAnDZDRAYTgcBEAABOxLgoDVz57zlcbv1jrzasFFDMSQ5+I13lFY+78HBD0n/HvSsO0VQI+tcAcqgRt5RkuVeqkVU5nWn/QcMQFAjGRJeQQAEQAAETCMAQWoaejQMAiAAAsYT4Bmy9PR02rGdo+meqZIixDtKq6+0L2s/X0tjRo+mDxct8iuQjvGjdF+LHLjq4MFs4ijJvHmn85EjKnPal46dOhGLVrW0L/dJArWsrIzWrV/vPoAYMQiAAAiAgGkEIEhNQ4+GQQAEQMCeBHgt6o1tb0CKEHuaz2evebZ12itT6dt9e4MKfuWzYhwAARAAARAAgWoIIKhRNXBwCARAAARAoCqB8PBw4lk3eTau6hnYY0cCPCPOW25urh27jz6DAAiAAAjYlAAEqU0Nh26DAAiAgJkEmjRpambzaBsEQAAEQAAEQMAhBCBIHWJIDAMEQAAEjCTAgY8iI+sY2STaAgEQAAEQAAEQcCABCFIHGhVDAgEQAAE9CfAa0vy8fGotpQzB5hwC6bt2icEkJiY6Z1AYCQiAAAiAgOUJhFm+h+ggCIAACICAZgQ4yu6mTRvF+k/OLZqRnlGpbjkia3KbNtSxY0fVKLqcn5S3li1bVSqLD+YQ4AcEbJOdO3ZQUVER7d6dSaXfl1bqjBw9udNNnSktLY1aJLaodJw//P3LL8XaYF4jjA0EQAAEQAAEjCKAKLtGkUY7IAACIGAiAc5D+uzTT4uZTe6GLDw739y5Uq84Z+WRI0c8QpXzkPbpczc9NupxT6oQzkPKG9KDVEJn+AcWou+9+56UX3aOp20WnpzeRc4tywfOnCmnrP37KwlVTv3yyLDhnjyknDbm4SFDEDnZQxJvQAAEQAAEjCIAQWoUabQDAiAAAiYRkMUGi8tnnn2OunXv5hGXvrrEYiczI5NWrlgu/VspTpv4/CQ6dvQYLVq4kObMnesRM77qwH59CYyQBCXnG2UROvThh1Vns5U9OH78OG3etJkWzH9PPJzgBxOvzppFI4cPp+joaFqxahVSviih4TMIgAAIgICuBCBIdcWLykEABEDAfAIsXDgIUbBig0XMC5OeF+KHRzNk6FCa/PIU8wfm4h6w6/UdvXqFNKO59vO19NKLL3jcez+VHj6kpqa6mCqGDgIgAAIgYAYBBDUygzraBAEQAAGDCZSWlhLPegazlZSUEK83lTdep4jNGgR4xjqYja+F4uLKZSvKg7s+gmkfZUAABEAABEBAJlBrirTJH/AKAiAAAiDgPALxjRvTog8X0orlyyVR+gPFxMRQ3Xp1qx0oz4pyoJwZ06fTq9K/s/85Sy9NnkKdbupEf1m0SHL5jaO2bdtWWwcO6keA7VdWWibcp/fu2UthYVdRXIM4uvrqq6ttlNcS/+2vf6Px48bSun+so5tvvoVmvTabdu3aSStXrqAHBw+usY5qG8BBEAABEAABEAiQAFx2AwSG00EABEDAjgTYxXP6tGket1teT9quXarIJSqnb+GARqdPn6kU/IbXGA4cNIgGPfCAZ23hfQMGUEFBAe3KqByh145c7N7nBfPn0zvz5nncbuVgVXJgIzmgEY+T15vKm3LdKQvVe/v1D8kFWK4bryAAAiAAAiAQCAEI0kBo4VwQAAEQsDkBOahN9oEDIkWId+oXWcxERtYROUa7d++hmh6E1x6OGT2aPpRmSrt07WJzIs7oPgeuOngwW6Tz4RF5p35h8ckbp/Jp1aoVde3W1fNwQRy49B8/aCgrK0P0ZG8oeA8CIAACIKA7AQhS3RGjARAAARBwFgFef3hj2xswm+Yss0qRd+fTtFem0rf79qoKVocNF8MBARAAARCwCAEENbKIIdANEAABELALgfDwcOI8ltu2brNLl9FPPwikdeggzsrNzfXjbJwCAiAAAiAAAtoQgCDVhiNqAQEQAAFXEYiMjHLVeDFYEAABEAABEAABfQhAkOrDFbWCAAiAgKMJcF5TXmuKDQRAAARAAARAAARCIQBBGgo9lAUBEAABFxLgNaT5efki8JELh+/YIafv2iXGlpiY6NgxYmAgAAIgAALWIxBmvS6hRyAAAiAAAnoR8I7GyrOcLCy9NzkdDEdk7dixI6W2T60S4Ibzk/LWsmUr76J4bxIBfkDANtm5Y4eInOyd3kXuEq/5bSzlo+UUP76iJy9ZvFisDeY1wthAAARAAARAwCgCiLJrFGm0AwIgAAImEmAh+oeXp3gEqLdA8e7WsaPHqoiaIUOH0mOjHqfY2Fhxaq/bbhOv69av9y6K9wYTYCH63rvv0dw5c0TL3g8T6tSJqNQbDkDl/QCCU/yMHTee7ux9pziPr4+HhwyhqdOnS3lnB1Yqiw8gAAIgAAIgoCcBCFI96aJuEAABELAAAVlssAgZMfJR6n1X7yqznmrd5HIbJNG5aOFCcXj0mDFUfuaM+Dxn7lyPmFEri336ExgxbDjxbCjnGR368MN+5YSV89AumP+eeDghC9OXXnyBoqOjacWqVX5dG/qPDi2AAAiAAAi4hQAEqVssjXGCAAi4lgALF54dC1ZssIiZOWMGrVyxUjDkGdPJ0mwrNvMIHMo9RHf06hXSjObaz9cSC9HS70vFQP6+bh21SGxh3qDQMgiAAAiAgCsJIKiRK82OQYMACLiJAEfDLS0tpeMlx4MadklJCR05csRTdt++vZ73eGMugewDB4LqALv7Fhcfq1SW7YwNBEAABEAABIwmAEFqNHG0BwIgAAIGExj1u9GixUED76fXZr9GPLtW08azoksWL6H7Bgyge/v1p4KCAjEbN/H5SZSRnkEL5s+vqQoc15EAz2TyTDW7U/OaXp7tZJvVtLEb9suTp1D3rl1p2itTqV27VOKZUeG6+9STxEIVGwiAAAiAAAgYSQAuu0bSRlsgAAIgYBIBFqHTp00Taw7lLvDaQ944oi5vWfv3i9fduzM9bpwsVAYOGkSDHnjAs7aQXYD5nF0ZGeJ8/GceAX5oIK8H5V6wvZo0aSo61PnmznQgK4tOnz4j/SsTDxLEAem/vv360kNSEKPU1FSxKzMzUzx44AcOI0aOlE/DKwiAAAiAAAjoTgCCVHfEaAAEQAAErEOAZ9F4hjM7O7uKAJUFanx8PLVq3ZrS0tJU1xTybNyY0aPpw0WL/AqkY53RO7cnLCg5j6gsQHmkHPBIKVA5VY9aKh8+n2fDy8rKCNGTmQY2EAABEAABowhAkBpFGu2AAAiAgIMING+aQFrMpp09e5ZOnDxFcbHXU1iYOamx2U0VuTdJuGGzG+/X27Z6Uvw46JKVxPZp+km63vhawwYCehH4+eefqeT4dxRTvx7Vrl1br2ZQLwiIJRal0veamb+fWpnBnF9/rXqPekAABEAABEwhwHlMObdlsO6dfNOWm5tHxZcCLUVHRZoiCnm2l4P7BDsOU+Dr1Ghahw6iZg5uJOec1akpQ6tlIZpfUCgF9iqjiIhwCFJD6bunMf5OKyo6RkeKjhK/5wdscbEQpO65AowbKT/ILSg47Pn9dMJDNghS464ftAQCIAACjiEQGRkV1FiUN23R0VGUlNjcFDHKA5j2yit0Rsqt6r1GNqiBoZDlCHgLURYHzRKaUnx8Q8v1Ex2yP4Gio8coP79QCFH+TuNrLUp6yIYNBLQkoBSiDeJiKSGhiWneRVqODYJUS5qoCwRAAARcQoDzmqakpPg9WjUhavZN28XZ0WIxhsV/+5vrZ0kryp0RYdeXEDXLJdzvPxKcaDsC7JrLQpSFArvnJiW1wAy87axo/Q77EqJOcgmHILX+dYgeggAIgIClCPCay/y8fBF9t6aOWVGIyn3m2VF5+9Mbb7p+lvTgwWyBIzExUcZiq1e+acuR3MBPnDgpZgzkGVEIUVuZ0RadVQrR5ORWEKK2sJy9OukGISpbBIJUJoFXEAABEHABAc5DuXPnThFh1zu9i/fQOdouR9rt2KkTde3WtYo77ZbNW8TpHLHV12ZlIcp99p4d5c8//PAD2XWWlCMnb960mXZs30ZHjhyplN6Fx8abHG2XU8F0795DNXryksWLidcG2y3Ak5tu2i5aE/+bRQBC1Czy7mpX/v3kte+8xcTUF0tbnDQjKgbm9R+i7HrBwFsQAAEQcCoBFqJ/eHmKmNnkMbLwaNv2BmrYqPKaujNnyoVY5ZQh8jZk6FB6bNTjItANz472u+cecchXehC+acvJOSTWU3EQmaTEFpZbT9XlllulYEYX3XXlcV533XX0jSTq7CLI2BazZ86iRQsXiiFE142mdu1SiUWncuN0MHv27PHYX5lfVk7lM3X6dGnme6CyuCU/Q4ha0iyO7JRSiDZr1hQzoo60tLmDkoWoHBjLTeuRIUjNvfbQOgiAAAjoToDF6MNDhohZsrHjxqvOeqp1gsttWL/eI3hGjxlD5VIAIBZAajlI7XLTJosvtTFrkcpGrV499nHeUM4p27dfXxr1u9Gqs57KduU8tB+8/2dRloUpXxMvvfgCRUdH04pVqywvyCFElVbFZ70IKNcjY42oXqTdXa+bhahseQhSmQReQQAEQMChBEYMG04chChYscEiZuaMGbRyxUpBiGdMJ0uzrfJmFyEq91dtdlQ+ZpdZ0szMTLq3X38KZUaTHziMfepJKv2+lHh2dfGST/wStTIro1/5ps07VZAcYdLJbmxGM0Z7FwkohWjj+EYiQjPWI+MK0ZIAhOhlmlhDepkF3oEACICAIwlERtaRcjCW0nEp52cLyX020I3zUvLaRHnbt2+veKsUonYI7KFcOyqPSX61y1rSiPAI0eXsAwfkrgf0yu6+B6UgRixGeePXnJycoK6PgBoO4mS1m7bk1i1FVNMgqkMREPBJQClEERjLJyocCJEA5xF1o2uuL2yYIfVFBvtBAARAwCEEDuUeokED7xeig2c37+57D6WmplY7Oi6Tnp5Ony79RLh28gzaM88+J8pMmjCBBj04mHr+qpcQBXZaT1Xd7KgMxC6zpC9PniLcp9ntdsTIR6lb925ina88DuUri9DMjEzhhr1mzWpxPXAAqwkTJ9LECc9JidYLaNOWLZZx2VUTomanClIyxWdnEFAKUcyIOsOuVhyF8kEuu4HH1K9nxa4a2icIUkNxozEQAAEQMIcAC8x5b8/1uN1yLziwUWRkVJUOeQc0ksVO77t6S0GKzhNH/Xt58ktUmJ9Pf5VcPNu0aV2lvFV3VLd2VNlnu6wl5TG9/tpsT7AiObCRcjzsss2peuSN150+JK0rlh9MyC7AVhg3hKhsJbzqTYDXI2cdOCh5kJSJVEEQonoTd2/9SiFqpwe5RlgNgtQIymgDBEAABCxCQA5qk52dLaLpqnUruU0batiwoWfGTTl78O/jJTTh2WdUAxup1WeVff7Mjsp9tcssqdxffuCwadNGOnb0GBUVFcm7K71y9F1O1ZPaPlV1FpSDJJWVlZGv6MmVKtPhA4SoDlBRpSoBtcBYiYnNhShVLYCdIBAkAQhR/8BBkPrHCWeBAAiAgOsIKIWo9+xB86YJZIXZNH+NEsjsqFynncYn9zmU1wXz59O0V6bS19u2Vuv6G0obvsoWSUI6P79QpApyU6oDXzywXx8CakI0IaEJ1iPrg9vVtUKIBmZ+BDUKjBfOBgEQAAHHE1AKUbXAHuzuu23rNmnt4khb8Jg9a2bA/Xz7rbk06IEHVGcTA67MBgXSOnQQveQgVrGxsYb0WHnThrQahmB3XSMQoq4zuWkD5t/PHMljpby8Qsy42yHYn2mwvBqGIPWCgbcgAAIg4GYCfNOWk5tHJ06cFD+kakJU5qO29lQ+ZrVXDuYz67XXfHaL06d8umK5z+M4oD0BpRDFTZv2jFEjEYQorgKjCPjzINeovtixHQhSO1oNfQYBEAABDQkEc9PGQXJSUlI07IV+VYWHh3uC9/hqRQ7u4+u4G/ZXSE/09d4gRPUmjPqZgLwemYOw8RYTU5+SpDWiyFkrcOA/DQlAiGoDE4JUG46oBQRAAARMJcA/ilFRkQH1IRghyg3wjCNHbB04aFBA7eFkaxPYuXOn6GBiYqLPjrLtw8LCAr6xhxD1iRQHfBAI5jtNFqLI7+gDKnZXIcDXTEXFDwH/fkKIVkEZ0g4I0pDwoTAIgAAImE/gYkCYArr1ls41Ron8astXtHXrVkrflU67du5Q7TyvD23b9gbq2KkTde3Wtcoayi2bt4hy8ppD1Uqw0zACHDl586bNtGP7NtqzZ0+l9C5yJ+R0MBxpl+2mNiP8xdrPRSognlH2te3Pypauh+uoTbJ/6X6UN228RjS+UUNf1WM/CAgCfN2kZ+ymtPbt/BIKEKK4cIIlcDAnV4ouflr8fvpTBz+U46Utcqqg6pa2+FMfzrlIAFF2cSWAAAiAgI0J8I/j9h3pYgQcBZdTF6htLERfnjyZCgoKxOG2krttGym9S3x8PF111eVnk2fOlIt0MLt3Z1Lp96XiXO+cldxev3vuEfvNSg+iNr5Q9nHE4LzCi1xCqcfosmyL2TNn0aKFC0XTnDOW3ahbJydX6Qqng9m3by9lpGd4zuUZbjlokxyFeOr06dLM98Aq5XlHrnQTxjNPvN16y03VzpIqhah3hGZRAf4DAR8EWFxu276T/vOf/0p5kutQh7RUH2deds3FjKhPRDhQDQH23MiSHrLxVtM6djWPIqQKqgZugIcgSAMEhtNBAARAwCoE+MZt565M+vHHHz1dUhMKmzZuouGPPCJFTo2ju/v1o192+aU085BaraDgCjm35ccffURr1qwW4nT0mDFUfuaMEEAfLlpEXbp28bRr5zd2FaScN5QF5pChQ2nwQw9Ri8QWNZqBRSzPcC9ftow2bthAPHP6zLPP0cxXZ1B0dLTPHKTyjJXcQP369ejGlLbyR88rhKgHBd4ESeDbPfvo5MlTntK+ZkkLCg6LByT8PYhUQR5ceOMnARaY27bvovPnz4sS//d/V9Mvb725Smk1IYpUQVUwhbwDgjRkhKgABEAABMwhcODAQSouOV6p8QZxsdS6dUuxT3ZjG/vUk/Tv776jmVKk2TbS7Fmga01ZxEx+8UVauWKlqJcF0OSXp1Rq184f7ChIMzMziaMDVzejWZNNuI5nn35auPiyMF285BNVUcvX0b++3ua5cZPr9RYKEKIyFbyGQoCXH+TkHKpUhXKWVLkemd3AY6QHJNhAIBAC23fsEmtHvct4z5JCiHqT0f/9ZT8t/dtCCyAAAiAAAhoROCHNICjFKFfN++Il111O3SK7sUVFRVHR4cN0fUxMwGKU68zNzRVrE/k9b+z6ic1cAhHhEaID2QcOBNURfsiQvmuXZ70pu2fn5OSoClKesZJnEbwby8svkB5wtKIs6cEI1lN5k8H7YAjwNZknBUtTbqdPnyEWobzl5xeKVC4cLddbPCjL4DMIVEeAZ9c5kJFyO3Qon6Kl4IB8XP595Ye8mBFVktL+M2ZItWeKGkEABEBAVwJKVyNlY1dccQVduHDB48Z28sQJGjTwfuF2y7ObPW+7rUZ3W3bX3bRpIy1ZvNgzg/b6G29ScXExTZowgSY+P4lGjBypbNqWn+04Q8qgX548RbhP89rRESMfpW7du0lu2bE+bcA3/JkZmbRh/XrPutMePXvShIkTaeKE58T64k1btlQKYqU2Y6XWAG7a1Khgn78EeBZ+V3om/fDD5eUH3mXl7zQWos2aNaW42Ou9D+M9CPhNQLn8wFdBfKf5IqPPfghSfbiiVhAAARDQjYCaq5GysRvaJtMvfhHj2c2RWN+d945HiPABjqYbGRnlOYffnD5d5gl8w5/5nHvvu59639XbI1RGDBtOHPRIKV74fDtudhWkzJqDEb3+2mzPTCfvY5Gp3LyDVPExfjBxd997PNF2ZRdgXic8bvw4UZwFrBwwS1mf/Pnqq6+mjh1qXo8sn49XEFAj4B0wS+0472vQII5at0rydRj7QaBGAr6WH3gX5IcfvD6+Xr263rvxXmcCEKQ6A0b1IAACIKAlAXYlkpO9V1dvbOwvVFNzyLNkBw9m07at21Sr4NQgDRo0FGJUbcaNI/Y+PGQIOSWwkZ0FqWxAntFOT0+nY8eOiSjJ8n75ldfhcfRdXylf+DwOklRWViYCG/GNmxzpVK7D16v3WlJf52A/CPgiwMsP9khu4TVtvoLO1FQOx0FAJqAMmCXvV75yKhd208VmHAEIUuNYoyUQAAEQCImAv65GciN6CgUWcU5x23WCIJVtHsrrgvnzadorU+nrbVvplLSm9Pjxf/tVnTLojF+FcBIISAT8mbHyBoV1o9408D4QAv4uP+A6a9WqJUXcrTmvdyDt49zqCVxZ/WEcBQEQAAEQsAIBvnHbtz8roK5w0Bm9Nnbl9TXDqlebqFdfAjx7ytu+ffv9FqN8vnfQGf6MDQT8JeArYJav8hx0BhsIBEqAPYOU0Zurq4ODuBUVHavuFBzTmAAEqcZAUR0IgAAI6EEgPeNbkSg+kLp5RpX/6bEp157q0QbqNIdAYeHhgBvOy9Pv4UfAnUEBWxDgtFWBfj/997//FRFQbTFAdNISBPhhbubuwCPDHz5yRMzgW2IQLugEBKkLjIwhggAI2JcA37Bt3bZDClFfEdQg/FlvGkzFhw8XSgGR6gRTFGUsSIBv2g7l5omeSQGaA97+85//eFJzBFwYBVxFgL/Ldu7K8KTVCHTwR4qKIBQChebS8zldEOdQ5gcZgW7nz/9PSnl28Tsx0LI4P3ACyEMaODOUAAEQAAHdCbAQZTHJ+R2vvPJKkcIlsk4d8T6QxqOjK0fRDaSsr3P5hjJfyhc4cNAgX6dgv00IsBBl1zTOWbtFSvnCW/v2qVS3bmARJsOuCqOI8OtsMmp00wwCnK7KO79jREQ41ZOuM/5+C2QLl8phA4HqCLAQlXPWhoWFUUxMfen7KfDrRo/fz+r67eZjEKRutj7GDgIgYDkC3kKUf0g52l98fEPi96FuLCS3bN5CO3fskNYJ7q2U3sW7bl4f2rhxY+p0U2fV3JZcB2/ymkPvsnhvPAFO6bN502Za949/EM9c88MCtY3TwSS3aUMdO3YUeWg5yAfftLEo5Ruv/dI1wbZPS0tVK459IBAUAaUQRX7HoDCikB8EvIUo56xFECw/oFnkFETZtYgh0A0QAAF3E1AK0cbxjTQTokyW81W+9OILVCpFT+WNxQmnd1HbOFiRd97Kvv360kNSmpfU1FThOtzvnntEsXXr16sVt90+u0bZ5QcMk198kVauWCmYN2vejFJSUkR6F6URjkni0/shRHhEBN3xmzvp9jt+TW3atKZMKWXMmNGjac7cuXRn7zuVxfEZBAImACEaMDIUCJIA/37uz8omvuZYiDZr1pTiYq8PsjYUM4MABKkZ1NEmCIAACFwiwD+gWVJwD3bN5VlQrYUoNyPnDWXBMnbceL8FB+e2XL16Nf3144+EkGVhWqdOJC1auNAxOUiZj10FKecNzUjPoCFDh9Lghx6iFokteDg+N5492L//AKXv2knbt26lb3dnUnTdaHrm2edo5qszpFnSaJGD1GcFOAACfhCAEPUDEk7RhIDeD3I16SQq8YsABKlfmHASCIAACGhLwMibthHDhgtXzhWrVlF4EOtoeCZu9sxZQogyBRZAk1+eoi0QE2uzoyDNzMyke/v1p6nTp0treQdWS0/pxibPHnAdI4cPFw8bWJguXvJJjaK22oZw0NUE5PXIciA1XreXlNhczFi5GgwGrzkBCFHNkZpeYeiLkkwfAjoAAiAAAvYhYKQQlalwNNzS0lI6XnI8KMHBa0b/9a+v5OqE66fnA96YQiAiPEK0m33ggHCjVnvQoBSi3uup+CHDxg0bPS7c7Mqdk5MT1PVhCgA0ahkCshDlwFjyemRe+x4VFWmZPqIjziCgFKJaxlhwBiH7jgIzpPa1HXoOAiBgIwJmCFEZD7veDhp4vxAfPLvZ87bbKFWKpKomYuQyPHvGguWLtZ+LIDns7vvS5ClUXFxMkyZMoInPT6IRI0fKp9v61Y4zpAz8Zcke7D7Nthkx8lEpGFGaEJTKm7akpBZiPRUHP2IXXw5qxeV4YzfsZ557TqwfLSgooM/WrqXY2FhxDP+BQHUEIESro4NjWhJQfqfpsbRFy/6irsAJQJAGzgwlQAAEQMBvAmYKUe9Oshh5d947HiHCx1jINGnS1Pu0KlFaOerqI5LLr3egG3YB5qBHm6Q0IdWJ2koVW/iDXQUpI+VgVa+/NrtSZN22UmCjK664gq695hq65pra0vsrKwWpYvfcPn3urrTuVHYBHj1mDI0bP87C1kLXzCYAIWq2BdzTvvL3k4VoQkITTaLOu4eiPUYKQWoPO6GXIAACNiOgdtOW3Lql6eup2FUzMyOTDh7MpgNZWXT69JkqZDn6boMGDUUKELXZMjlIklMistpZkLLxePZgy5avxOxnaen3dOLf33mEqGzc+Ph4atiooUjVw9GS1TZ5rbFToierjRH7QiPAeUThmhsaQ5SumYBSiCJVUM3M7H4G1pDa3YLoPwiAgKUIqAlRK62n4hnNLl27iH/BguPyvBUXHwu2CpTTgIC3G1tkVDQNfXhoSKmC+EHExg0biGfT1R5EaNBlVGFTAsr1yDemtMUaUZva0srdhhC1snX07RsEqb58UTsIgIBLCFhdiGptBnbl5XylTllHqjUfPevjWe6c3DxPqiCtAnukdeggul1SUgJBqqcBbVS3Uoh6B8ay0TDQVYsTgBC1uIEM6B4EqQGQ0QQIgIBzCbhNiMqWjIyMkt/i1SACajdtiVJaDc5fiw0EtCQAIaolTdTliwD/fspu4HwOXHN9kXL+fvyKOd/GGCEIgIBOBIqOHqP8/EJXpjo4fLiQUqTgOdj0J6AmRDmwR+3atTVtvKK8QtP6UJn9CECI2s9mduyxWx/k2tFWRvUZgtQo0mgHBEDAMQSUN21yWg27DpDTwpRXlFNiYqJfUXPZZTQ/L58GDhpk1yHbot+hCFG2UW5uLnG+0haJLfwa786dO8V5voIe+VUJTrIlAV6PvD8rm/ia4wcdcM21pRkt32kIUcubyLQOQpCahh4NgwAI2I2AUoja7aaNRcqWzVtEHsp9+/aKqKxqNuB0MDz72emmztSte7cq6wk//+xzUax79x5qxbEvRAKBClF+oLBp00axppfT8ZR+X6ragx49e1JymzbUsWNH1aBWnHOW1wZjcw8B78BY7Pqt1Xpk9xDESP0hACHqDyV3nwNB6m77Y/QgAAJ+ELC7EOUhcr7Kl158QYgVzkPZrl0qTXx+khh9y5atxOtBKRUMb5wOZs+ePbRyxUrxmYXM6DG/J545Y1G7YP57IoepvzNvohL8VyMB+aYtv6BQnBsTU5+SpDWivlxz2RZPPfGkiIzLBfhBAucX5fQuERF1KKllEuUczKHy8jN05kw5Ze3fT3PnzBF18zXw+KhRNOiBB8Ss+JLFS8SsN6fyweZ8AhCizrexFUYof6chVZAVrGHtPiAPqbXtg96BAAiYSEApRJs1a0pxsdeb2KPgmpbzhvLs1xNPPqU6O6ZWM8+8rV69mv768UdCyPbt11ecxkL1w0WL/K5HrW4r7TM7D2mwN233DRggZrmHDB1Kj416vMpMti/GfD0s/PBDIWRZmD7z7HM089UZUsL5BFq6bJmvYtjvAAJKIdo4vlFIqYIcgARD0ImA8vezTXIrpArSibUTqoUgdYIVMQYQAAFNCShv2uy+RnTEsOHEQYhWrFrl1xpRJUyeiZs9cxYtWrhQHBo9ZgyNGz9OeZptP5slSIMVogw6MzOT7u3Xn6ZOny6t5R0YFHuu49mnnxYzo1zB39et83u9aVANopBpBJTfaRCippnC8Q0rhahdH+Q63lAWGyBcdi1mEHQHBEDAPALKmzanrKeKjKwj5awsFUFugglYw+tO//WvrzyG2frN11Tx2KNBiVtPJS5+E4oQlbHFxcWJt9kHDgg36vDwcPmQX6/Hjx+n1StXecQoF8rJyYEg9YuefU5SrkdmIcoRmpEqyD42tEtPlULUbjEW7MLZqf3EDKlTLYtxgQAI+E1AKUSdNnvArreDBt7vcbvtK82spbZPrVZQ8uzZxg0biQPdcERdXp/40uQp0nrEchozerRYfzpi5Ei/GVv5RCNnSOWceyxKo6OjRBCZqKjIoPC8Nvs1sSaUbfObO3vT3XffXa2gZBGakZ5B6/+5zrM+WHb3ZZsWFBTQZ2vX+u36G1SnUcgQAkohivyOhmB3ZSNKIYoZUVdeBiEPGoI0ZISoAARAwK4EnC5Eve3CYuTdee943G75mBzcyPs8du1lASpvvO70Ecnl987ed8q7iF2AOZrrpi1bqhW1ngIWf2OEIFXetLEbeEz9eiGT4fWgf3rzjUoRk9lmkZFRlereuGGD5zPbnYMfea875YcWd/TqJQWvcpY7tmfQLnkDIeoSQ1tgmPz76Z0qCELUAkaxcRcgSG1sPHQdBEAgOAK8JjInN09yYy0TrmtOmxGtiQrPfqbv2kXHjh6joqKiSqeze2/r5GTiyLu+ZlHlIEkckdVbqFaqyEYf9BSkSiGq102bPPtZXHxMpH9R4ud0Lw0bNqS0tDSfs6jyWuN169cri+OzxQlAiFrcQA7qnpse5DrIbJYfCgSp5U2EDoIACGhFQO2mLVFKq4H1VIETZhHnlNk0PQSpUUI0cMv5LsGpXyZNmEBfb9sKt13fmCx1hF2/ZTdw7hhccy1lHkd1BkLUUea03GAQ1MhyJkGHQAAEtCagJkQ5sIev/I5at+/E+tgtlPNaYqtMQClE7RTYg/OW8lZSUgJBWtmslvukRWAsyw0KHbIkAaUQdUqwP0vCdnGnIEhdbHwMHQScTgBCVD8LK9co6teSPWrmm7YcaR1meXmFmHG3kxC1B2H0kglAiOI6MIoAhKhRpNEOE4AgxXUAAiDgOAIQovqblIMfpaSk6N+QxVtw0k1bhSSmsVmTAISoNe3ixF4pfz8xI+pEK1tvTBCk1rMJegQCIBAkAfmmLb+gUNQQE1OfkqQ1onDN9Q2UAzzl5uaKEzi3ZWxsrO+TLx3hADociXfgoEE1nuvUE6wuRDlqbnlFucCfmJjoVzTknTt3ivODyVXrVDubPS75O+1I0VExOxpqqiCzx4P2rUtAKUSxHtm6tnJizyBInWhVjAkEXEYAN23+GZzF55bNW0Qeyj179lRK7+Jdg5wOptftt1O37t2qiNTNmzaL07t37+FdzBXvrShEWXyuXr1arOn1Tu+iNAiv+23b9gbq2KkTde3WtYpI5ZyzfA42axBQrke+MaUtBZuz1hojQi+sSABC1IpWcV+fEGXXfTbHiEHAMQQgRP03JUdQnfnqDCr9vlTkH+3WrZtI7xIRUYfkYDY5B3OkNZBn6EBWFnkL1h49e0oRdX9PPHPGorZ7164UHR1NTkkP4k+UXSumCuI+PfXEkySLUBaTN99yK9WpEyHS9oRHhBO74R48mC0ulG1bt3nOlXORjn/maSFM5Qi7Tknl4/9fhvXOVApRvVIFWW/k6JGRBCBEjaSNtmoiAEFaEyEcBwEQsBwBCNHATCKLDRYsTzz5FHXp2sWvCtg197M1a+idefOEkO3br68ot3LFSvp0xXIhUP2qyOInVSdI1W7arJIq6L4BAygjPYMmPj+J7urTp8pMti/snEd24YcfCnHKwvTxUaOEjRMSEmjpsmW+imG/zgQgRHUGjOoFAf79RKogXAxWIwBBajWLoD8gAALVEpB/SPlHFeupqkXlOThi2HDiIETBzmjyTNzsmbNo0cKFok6n5B+VAakJUjUhaqVUQZmZmXRvv/40dfp0aS3vQHkoAb1yHc8+/bTHdfvv69ZRi8QWAdWBk0MnACEaOkPUUDMBtQe5HGMhPDy85sI4AwR0JoA1pDoDRvUgAALaEFDetHFajZj69bSp3OG1REbWodLSUmIBEkzAGl53umbNag+lrd98TRWPPerIGxmrC1HZCByAircd27dR77t6B2wLnv1evXKVEKM8S8qu3Onp6RCkMmADXnk98v6sbOJrjgOvIVWQAdBd2ISaEOXIuViP7MKLwcJDxgyphY2DroEACBAphSjWUwV+VXDQm0ED7/e43d72q14ieI2viLo8I5qZkUkcdfWvH38kyjVr3oxenTWLSopLaMzo0cJNdMTIkYF3xoIleIZ0f/YB4cZWXHJc9NAOESZfm/0azZ0zR6wJfnDwQ9SjZ49qHzjwdZCTkyOCWrHbNW9Dhg4lXkf6iPTK7r9fb9vqt+uvqAD/BUxAGRircXwjio9vKPLXBlwZCoCADwIQoj7AYLclCUCQWtIs6BQIgACEqLbXgOx2yzOdPBsmbxywyHvbvTuz0nFeN8oC9s7ed3pOYxdgPm/Tli0Bz8x5KrHIG75pa9kikd57/0PRI7ulCuL1oH968w0hJmWk/PCgSZOm8kc6fbqs0nGeEWUB++DgBz3ik8XqHb16CYE6+eUpnrJ4ox0BCFHtWKIm3wQgRH2zwRHrEoAgta5t0DMQcCUBCFH9zc6uu+m7dtGZM+UiVYh3i/Hx8dSwUUNK69CBfOWvZBH08JAhZOeIrN43bcOGPERLpRlDO7uxsQsuz3AWFx8TUZJPnz7jbVbqfHNn4ojKaWlpPt1yx48dS5s3b6ZdGRmVyuJDaAQgREPjh9L+E+Dfz5ycQyJnbYQUZTtJWhMO11z/+eFM8whgDal57NEyCICAFwG+acuRZmnKpTQVYWFhWE/lxUbrt7yONJi1pHI/5Ci92dnZlWZO5eNWfvUWovyeA2Px1j71Rit3u8a+sfu19yx2jQVUTuh0U2diV14Wt77cuVWKYZcPAkohyg884JrrAxZ2h0RA+SA3KakFxcVeH1KdKAwCRhKAIDWSNtoCARCoQgA3bVWQ2GIHp5DJ2r/fFn3lTqoJUTvPiOoBXs5HW1JSAkEaAmBlYCxeI8oRmvlBGzYQ0JKAUogiMJaWdFGXkQTw7WgkbbQFAiDgIQAh6kFhyzeRkRdnFu3QeaQKsoOV7N9HpRC1Q2As+1N35wggRN1pdyePGoLUydbF2EDAggQgRC1olCC6xEGNunXrFkRJ44oob9puTGmL9VTV4K+Q3OWxBU4AQjRwZigRHIETJ0+JNaJIFRQcP5SyLgEIUuvaBj0DAUcR4CivObl5Uj7MMuG6hvVU1jAvR1ctryj3dMaftaW8xpAj9bZOTvaUs9IbpRB1oxsbB66SN85Z6s+aUE7zw5s/14Bct5tfIUTdbH1jx672IJfdwLGBgFMIQJA6xZIYBwhYlIDaTVtiYnOspzLBXvxQ4PPPPqcd27eJaKre6V+8u8NpQdq1SxWRWbt371ElKutna9aI0/mYlTa3ClF+qLB69Wqxpnfjhg0+TcLpYH75yy7UsVMn6tqta5WUPV+s/Vzkp/VZAQ4IArweWXYD5x1wzcWFoRcBNSGKwFh60Ua9ZhJA2hcz6aNtEHAwATUhyk90a9eu7eBRW3doC+bPp3fmzRMzmyxMUlJSxAxngwYNKa5BnOg4u2wePJhNx44eo3379npyV3IAoyeefIo4ui6L2u5du0rRaaNp3fr1lhiwUog2a9Y0oAiTzZsmUF5hgSXGEkgn2BZPPfEkySKU7XTzLbdSnToRIm2PXFfOwRwpevUZ2rZ1m8gfyw8i+KFDnz5302OjHhezp0sWL6FJEybYOpWPPF69XtUCYyVJD9fCw8P1ahL1upSAUohyYCwIUZdeDC4ZNgSpSwyNYYKAUQQgRI0i7X87sthgwTLphRf8dslk11yeDZWFbI+ePUWjLIA+XbHc73r872lgZ/JN2/6sbOJrjh90BCpE5dbsKkjvGzBAPDSY+PwkuqtPH7/ccnnMnEd2g/QwYdHChUKYPj5qlLBxQkICLV22TMaC10sE1IQoIjTj8tCDAISoHlRRpx0IQJDawUroIwjYgACEqHWNNGLYcDp9uixoscEzce+9+x7NnTNHDHLI0KE0+eUppg1Y65s2OwpSXiN6b7/+NHX6dBo4aGBQtmBX31GPP0b5efmi/N/Xravinh1UxQ4pBCHqEEPaYBj8+8kxFk6cOCl6ixgLNjAauqgpAawh1RQnKgMB9xGQb9ryCwrF4GNi6hO7scE11zrXQmRkHeGqySImmIA1WzZvob9+/JEYELt6sjsvi1SjXRWVQtTNN20cqIi3df/4B/W+q3fAtuDZ73lvzxVilG3Kbrzp6ekQpBJT+TvtSNFR8T46OoowIyouN/ynMQE8yNUYKKqzLQHMkNrWdOg4CJhLADdt5vIPpHWeCRs08H4hOtjttr/k6snuu74ir7JYyc3JFW6da9as9qw7fXXWLCopLqExo0fT6DFjaNz4cYF0I+hzlUJU6/VUdpwhZZi8LnjaK1OF2+2Dgx+iHj17VPvAga8DFp0sYuV1p2zHRx97lB6RZr0z0jPo621bfV4XQRvQRgV5PXJOziEhRCMiwqWHay2QKshG9rNLVyFE7WIp9NMoAhCkRpFGOyDgEAIQovY0pOx2yzOd3tF1WZhGRkZ5BiULFXlH3359qa/kGsoBjeSNXYD5vG+lmVI9Z0n1FqLyeOwqSLn/POs9d85bHoHJ++Qoyfyet8OHCz1uufyZg1r95s7e9ODgBz3ikx9C3Nr5ZjLbHZv7Z8YWamAsM/qMNu1HAELUfjZDj40hAEFqDGe0AgK2JwAhansTegbAIsY78qrngPQmuU0bT5RWX+69HBTn4SFDdIvIqrxp4xlRjtAcFqbPKhM7C1LZdvzAITMjU0RJPnOmXKSAkY+xyzbnjOWIyklJST7dcsePHSvSAe3KyJCLOv4VQtTxJrbEAPn3M1daI1pcclz0B6mCLGEWdMJCBCBILWQMdAUErEpAzrnHP6pYT2VVKxnbLxZxWrvtKoWoUTdtThCkWlhfjsbsBrddCFEtrhjUURMBtQe5SBVUEzUcdyMBfR43u5EkxgwCDiSgvGm7MaUt1lM50M7BDIldfbP27w+maJUyegtRnj1c/Le/VWnXewevx1TbAkmnolbeTvuSWiaJ7paUlHhcee3Uf3/6euLkKbFGlK85DryWnNwqoJy1/rSBc0BATYgiMBauCxDwTQCC1DcbHAEB1xJQClHctLn2UvA5cO91pz5PquGA3kJUbp7XuW7atIm2fv2NvKvKKwcHUm6NGjWiESNHKnfjsw0JKNcjszhgN3BsIKAlAQhRLWmiLjcRgCB1k7UxVhCogQCEaA2AcNhDYPfuTOrWrZvncyBv+KZNdgPncka45o5/+mm69+v+gXSTnps4MaDz7X5yRXmF3YdQpf9qQjQ+vqFu65GrdAA7XEEAQtQVZsYgdSQAQaojXFQNAnYhACFqF0tp308OcOS9JSYm1hg5lyOycqReDpQTyGbmTRsHaLr51luqnSX1HkuDBg3ozt53eu+yzXu2D7vdyltEeITPQEbyOfy6c+dO8dFXMCvvc63+HkLU6hZyTv/49xOpgpxjT4zEHAIQpOZwR6sgYAkCfNO2PyubsJ7KEubQvRMsVDZv2izyUPIMp3f6F2XjnK+0882dqXv3HlXEzGdr1ojT+Zg/m5lC1Lt/gcySTnz+ee+iln7PDxU2bthIW7/5WuQS9dVZTveSkpJCt/2qF3Xt1rXKg4cv1n4ui2Rw+wAAQABJREFU8tP6Km+H/RCidrCSM/qofJCblNQC65GdYVqMwgQCiLJrAnQ0CQJmE1DetHFaDbixmW0VfdvnoD3yOkkWJr/8ZRdq2KghtWzZisIjwj2Np+/aRZw2xFvc8Pljx40XM4YcIKh7165StOVoWrd+vaec2hurCFHvvj00eHCNs6Q8O/qVJO6svvEDhhcmPe/JQSo/RIiIqENygCIeQ0lxCRUXH6MDWVkirYv8IIJzjj426nERwEiOsDtn7lxbzgzzQ7UcKa3GiRMnhdl4jSi+0wQKnf47RZnLFtOShe/SmlZv0u5Xe9BVOrVktWqVQrRZs6YQolYzEvpjOwIQpLYzGToMAsETgBANnp2dS8pilAXL6DG/J39dMuUZ1QXz36P8vHzi8rxt3LCBPl2x3Gc9VhSisv14NvHeftWvJbWLKOt1223CLhOfn0SDHnigyoynPGblKzNYvXIVLVq4kKLrRtPjo0aJhxUcOXnpsmXK0y392ajAWJaGYGDnzhdspEWffEwL5q2nixk1iWrf/74rBCmEqIEXGppyHQEIUteZHAN2IwEIUTda/fKYRwwbTqdPl4UkNl6b/RrNnTNHVFpd/lHlTVsbKa1GVFTk5c5Y4F11s6R2mR2VhXUo4pkfOPxWmjHmhw282Sn/KISoGX9IxbR8+EBaRI3oxPptrhGkylRBmBE149pDm04ngDWkTrcwxudqAkohCjc2d14OkZF1iNeMfrXlK+rStUtAEOQcnn/9+CNRjmfUeK3ho489WmlGTilErZwqqLq1pHZZOxoXFyfs8cH7f1ZdD1qTkVmMzpwxQ4hRtim78fLaYKunuYEQrcmyeh5vQP3//BX1p/N0atkounX8OjqnZ3Mm1632+4lUQSYbBc07lgBmSB1rWgzMzQSUN228RpR/SMPC8AzKjdeF90wYu932uv12SktLqxKsSGbD52ekZ9DOHTtozZrVQqywO+ekF14gTg3y8JAhkuvvGBo3fhwphahdZg/UZkntMjsq22nt52tpzOjRwu22T5+7qafkwpvaPrXSgwL5XH7lWdWcgzn06dJPPMGP2I78cOGpJ54UrthWnSVlN/BcaY1occlFR1EjUgV5s8P7ygTObXiO2g37hM5Ku53msqsUooixUNn2+AQCehCAINWDKuoEAZMIKIUobtpMMoQFm5VnOt+ZN69SdF0OWNSkSVPR48OHCz3um/IQ+vbrSw9JAtR73Sm7APM60nf//AFdccUVVLt2bbKLEJXHJbu8yp/5NRT3V+96jHzP4/ho0SJauWJlpWbl9b68UxlRmW0+cNAguqtPHxHQiM/hhxC3dr6ZONDR5Jen8C5LbGrrkZMSm/sU3ZbotAs64URBCiHqggsXQ7QsAQhSy5oGHQMB/wlAiPrPCmcSHco9ROnp6VRefoaOHT1GRUVFHiyc6kWO0uotQuUT+KZt8eIlNHP6NBotzao98OADto0w6T1LarfZUdke8is/cMjNzSWOkszbtq3b5ENStNl4T0TlxKREjwj1nHDpzfixY0UU3l0ZGcpDhn9WE6K85MBq65ENB2ORBp0kSCFELXJRoRuuJgD/PVebH4O3OwEIUbtb0Jz+t0hs4dNd11ePvG/aWie3Eaf97/zPthWjPADvtaR2WTvqyz7h4eFiFlt+iBDMWtBON3UWM608WxobG+urKV33Q4jqiheVexHg3085VRAvZ0GMBS84eAsCBhOAIDUYOJoDAS0I8E1bQcFhOlJ0VFQH11wtqKIONQLeQtT7po3XlGYfOKBWxDb7WLzdfOstVHT4iC1zb2oNWs5dWlJSYrgghRD1ZU053+dCyu7zEa0c2ZzKMpfS9MlTaemesxR72zP01uxhlBpVy6uCs1S44VP6+5dL6fVP9lwKPHSVdO4j9Midv6Z7B6RSlNfZvt+el9paQ0v+9sHlemJvo8eeGU2PRPsuZfUjeJBrdQuhf24kAEHqRqtjzLYlgJs225rOdh33JUTlwFiRkf7d0lp94DxLWlJcYvVuOrp/HBgrJ+cQ8fdbREQ4JUkz+G53za2a77M23dDnf1S24UXqPexvnpQrx9e/TW+v703zBzS4eI2UpdOC8U/RtP0tafTUN2j/qwlUSwo9VLhhHr0yaR5NW/8ezVr4e/p40VOUVknEKi+xU5Q+YyQNnneCuvz+Jfoyrxc1rcX1/IXeeeN3NIyuk2Lt2muDELWXvdBbdxGAIHWXvTFamxKAELWp4WzY7ZqEqA2HVG2XeZZUdnOt9kQc1JyAMkJzUlILW7uAaweomFb9cRz9cX1ZpSrPZ79Lj3/RiP60O4eaF3xIz4yaSRvol/Sb9nUvnnc+mxYMe4Sm7W1DE798i0Y0r32pfG1q2nMsvfO3hjT6gRdo3Z63aPAQqkaUymL0ELV9/hN6Z2QrSdTyxvWMpOntm9KEX4+mrEu1W/0FQtTqFkL/QIAIghRXAQhYmACEqIWN47CuKW/asJ7KYQa20HCUQtTKOWvNwcb5PjMV+T7PUtbq45LQnCbNbF5FlDqS5m8b6dW9s5T3/ss0K0Ny471/GN3rEaOXT6mVMIBeeeaftInzh+55l56YmkKfv9pL4b4ruelumE1PzMskaj+JZgyTxejleijqVhrYL4GWzsvx2mm9t8rvNCxtsZ6N0CMQkAlAkMok8AoCFiIAIaqfMeQIs7z+8ciRw5KboN0cz7Rl87///Y/O/uc/9N///ldUfPXVV1Pt//s/uvLKK6ttaN++feL40N9KUy3YHEHgzJkzYhx/mPIy1alTR/Mx/ffcOWKRwNccX1+cLujqqyRx5aDtP9LfUklxMYVJ40pJSRE5f+/sfWeQI6xFdaKjxezkObqKGo14mh5REZqi8rKvaP6f06X1otdR8k1tFCJTbr4W1ev7GA17fRO9e/QcHV/xPn36WBevmVTpvPO59Olbn0kuwVHUc3Bvau69NFWuhq6lth3bUW1JkHIeUqttar+fya1biuvNan1Ff0AABC4SgCDFlQACFiOgnD24MaWt69dTaWGitZ+vpddmzZKCQRWI6q6TopImNGumRdWOqoOFqSxOlQNjMVFWWkpnf/qJfpL+sag4cfIkXeUwUaEct9M/l5WVUfnp0x67l0hRds9J6zlr1VJVI5rgYFH6448/0o+a1GaNSsrLy6nk2DHBsa0kRrdv306rV62iBfPb0aKP/hJi7tRaFF034pLrrHK85+nU+qW08vg56UAi3dQ+RnnC5c+1WlOvPgn0Ls9unttNn204IgnSJM/x83tW0V8yyqXPSZTYzF7rxNWEKHt6uH09sse4eAMCFiYAQWph46Br7iKgFKJwY9PG/pyf8ckxY2jTxk10vZTK4rdDH6G2KTdQdPSldVfaNOP4WlYuX0ZrP1tTaZznz5+ng9JM84D7B9Idv/5NpWP4YH0CxdJM3vvz36WjR45U6uyJ776j/0meA2PGjiPOz4qtZgL5eXk0/ZX/R82aN6chjwz3cPtq82b6y8IPaMhDv9VAlPrqRznt2b73UjRdX+fI+/+PGrdoIs235kjnn5Vy1x6TXpOkz7ydo6Jd6XRUvI+kuuwabIMNQtQGRkIXQaAGAhCkNQDCYRDQmwCEqH6E2T134H33Ec8AQTQFz/nvX35RRYx617bskyV07TXXUpdu3bx3472FCfAs95zXX6Pvvz+l2kveP2PqH2nGzNlU+5prVM/BzosEBMs3Xyf2unhq3NOVePHfxDXXXkPvzXubZs+cRZNfnqIDtn9TXnblAEi+G/F2AyY6m32IjlEPaioK/EAFuUW+i1rsCISoxQyC7oBACAQgSEOAh6IgEAoBCNFQ6NVclmdGH3t0pEglMeWPUz0zFjWXxBneBPhmmwVnTdunnyymjp06VboZr6kMjptHYPPmTXTq1EmfHbhw4QL9JLnUfvnFWurbf4DP83CAiFn+wJ4Y48arXv8dOnai3ZmZtGjhQrq77z06R3U+Td+Xseuu79nNqxJaSI69RHv5rJh6FGFDIxYdPUb5+YXi+z06OorgmmtDI6LLIOBFoPqoFV4n4i0IgIA2BDitxtffbKesrGxRIbvm3nrLTUh3oA1eTy0vPv8CFRYU0u+fHAsx6qES+Jt9+/i2teaN15Tm5R2q+UScYQkC27d+41c/tn7ztV/nufUk+YENrxlt0/YGnxgGSJ4a4dIM6lt/+pPPc4I/EE51Y+QUL/+m3Hx/Z0uvouuTmvgIgFREhwp+CL5LOpXkB7n8+8l5azknMv9+tk+9EetEdeKNakHAKAKYITWKNNpxPQG35Xc00+BfbflKBBNhN11e04UteAKnTqm7dKrVePTo0WpvytXKYJ85BI4W+eeaWfr99+Z00Cat8uwob3f1uUe8+vqP16x36HQTbdqwno5LQaNipfXs2m0x1L6zNOe5fqdU5Q+Uc6iEzlMDHwGQpEC6Zd9TqWg8gXrf3trrvKspqh5HVz4u/TtFW3fm0fmeaV7HRSFT/oNHkSnY0SgIGEYAM6SGoUZDbiXAQjQj81tKz9hN5eUVwrWIZ0QTEpqIJ7xu5aLnuF+ePFkEMEKgHT0pV62b15FisweB6LoI6qWFpf61ZbP4rvHnwddvevcWTf71479q0bRXHVdRfM9elCq8dM/R0RXLaEuZr3RWUp7R/Dz6jks36km9Urz/Zq+llNt7UiNRs1TPgndp1Slf9Xg1r+NbeUYUHkU6QkbVIGABAhCkFjACuuBMAhCi5tg1U1qrxald7unX35wOOKzVG1Ju9HtEzRN5ZRo2OxBo1rwFXXHFFTV2NU1a/4hNnQBHKf5Omu28/Q7/IkzzLCkL188V0arVa1fuPU+l35dLM5/qW63mfWl0vyYXDx7/jOYuzfVx7vdSRF6OsBtBqUPvoZRaleurlfIr6t1IKFsp6O46mjTyfcqr0ugJ+teX2z05SM9+s4P2VTmncr2BfoIQDZQYzgcBexOAILW3/dB7CxKAEDXXKCtXrBDRLttWs57L3B7aq3VO+9GydesaO53cpi3W6tZIyTon9Lr9DuLARTVtfB42dQJ5ubniAKeR8ndLTesg1raz225g2zk6eeoM/c9noRjqMWkaPZbCIYrKKfPVl+mDvLNVzj6ft5Lmriim2NtfoFnDWlV1x63Vjh598zG6QdakGVOpd79JtDTzkut+WSYtffYJejM77HLYpKN/pt8/OpZG/vJ3tDzEGVX595NnRDmKblJSC8RYqGJF7AAB5xGAIHWeTTEikwicPXuWDhw4KFxzS0vLqHF8I/FDCtdcYw2yZtVqKdrrTarRLo3tiXNaGzZipJS6wtu1r/LYGsXH0+O/G115Jz5ZmgDP1D066nfV9vHOu/pgDXY1hDIz04W7biA5jWWPg4z0jGpqvnSobCu9/sYXl2cityynNQVVRaanoqibafyb02kQi9Jz22ja4N/TaxsKLs2UnqXCDa/T44Nfo5Ief6SP591PTRWzoxfrqUVRaaPpjbcfvixK9/yNJvTrQM2bJlDzdgPpjbJ+9OoY5drSX9Atf3iG7qmnWqmni77eyEJUubQlvlFDX0WwHwRAwEEErpCekNb8iNRBA8ZQQEBrAixECwoOU3HJxSfeDeJixfrQ2rXlqIdat4j6fBFgd917JVddvtHmVAvYtCPA0USXLllMX0lr5ry37j1vo/4D7sUDAG8oNnq/X4qi/PFfFtHJEyc8va5Xrz49NHQoAlR5iKi/GfvE78XDrwcf+q36CT72PjrsYRoi8fWdk/QcFc4fTLe9wkGK1LaONHHjxzQi4dI0ZpVTTlHmssW0ZOG7tHRP+aWjEXTD/Y/RkAcGUf/UelVKqO04X7CRPpj3Bs36ZI/k4ittsbdJqbQG0/1De1DDzc9Ru2Hf0C2jRtKD999PPRKC+71jIZovRUPnh7gcNZcf5MbHN0R8BTWDYB8IOJgABKmDjYuh6UsAQlRfvsHUvmD+fJr2ylSaMfs1CmTWIpi23FwmPy9PDN+fQC5u5mSnsZeWSpFXvy+l6LrR+Nvxw3C8fnTKC5Pot0MfoS7duvlR4vIpf3rjNap15ZW0fOWKyztd9g5C1GUGx3BBoAYCSPtSAyAcBgElAQhRJRHrfN6/b3/ALnTW6b19egIhah9b+dtTfoCDhzj+0iJJvF9cU9mw0cWYtP6XJGrZqjUt+2RJIEUccy7/fmZJS1vkGdFmCU0xI+oY62IgIBA8AQjS4NmhpMsIcIAFds09UnRUjByuuda7AAoLCynmF7+wXsfQIxAAAUcR4Jy7vAXzcKZevYsus4dyD1GLxBaO4uJrMHiQ64sM9oMACDABCFJcByBQAwEWokVFx4QQ5ffR0VGUlNicwsPDayiJw0YT2PPttzTg/oFGN4v2QAAEXEbg1MmTIpp3MMOuW/eiIC2vkNd3BlOLPcpAiNrDTuglCJhNAILUbAugfcsSUBOi7F4UFRVp2T67uWMVFRVuHj7GDgIgYCCBkydPUEKzZkG1yKmUeMs5mEOpqalB1WH1QhCiVrcQ+gcC1iIAQWote6A3FiAAIWoBIwTRhdxLOQETE5OCKI0iIAACIGAMgdrXXCMaKi8/Y0yDBrYCIWogbDQFAg4iAEHqIGNiKKERgBANjR9KgwAIgIBbCOzbswfLA7yMrfb7mdy6JSH9mRckvAUBEPBJAILUJxoccBOBkuPfUU7OIeIf1YiIcGmNaAu45rrpAsBYQQAEQMBAAhwM6UBWloEt6tOUmhDF0hZ9WKNWEHAyAQhSJ1sXY6uRAAvR/PxCYjcjfpKblNSC4mKvr7EcTrAegYpyrCG1nlXQIxAAATUC1153HZ0+bV+XXQhRNatiHwiAQLAEIEiDJYdytiagFKLJya0gRG1tUaKDB7PFCIJJw2DzoaP7IAACIGAIAQhRQzCjERBwHQEIUteZ3N0DhhB1t/0xehAAARAAgeAIFB09JjyKWJRy+jO45gbHEaVAAASqEoAgrcoEexxI4MTJU2KNqOyaixlRBxoZQwIBEAABENCcgPJBLpa2aI4YFYKA6wlAkLr+EnA2gLKy05RfUEilpWUUFhYmnugmJDRx9qBdOroGDRqKkefn5RHcdl16EWDYIAACmhFQClE8yNUMLSoCARBQEIAgVQDBR2cQUBOi8fENhSh1xggxCiWBuAZxyl34DAIgAAIgECABCNEAgeF0EACBkAlAkIaMEBVYiQCEqJWsgb6AAAiAAAioEeA8phOfn6R2yLR9EKKmoUfDIOB6AhCkrr8EnAEAQtQZdsQoQAAEQMAOBHhZQNGRI3boao19VP5+wjW3RmQ4AQRAQGMCEKQaA0V1xhLgIEU5uXl04sRJ0TBH/YNrrrE2sEprcXEXXXaPHT2KNaRWMQr6AQIOJcB5RH/88YegRnf2p5+CKqd1IaUQxe+n1oRRHwiAgL8EIEj9JYXzLEWAhWhBwWEqLjku+tUgLpY4WFHt2rUt1U90xjgCsbGxorEff/rRuEbREgiAgCsJXHvtdXS4sCCosRcXF4tyaR06BFU+1EIQoqESRHkQAAGtCUCQak0U9elKAEJUV7y2r7xJ06aOcaOzvTEwABBwMIH4xo1px7atQY3wJ5MemkGIBmUuFAIBEDCAAASpAZDRROgEIERDZ+iGGhISmtKRI0VuGCrGCAIgYCKBevXqidZ5trNBgwYB9eSotKyAt9TU1IDKBXtyRUWFWNrinf4MS1uCpYlyIAACehCAINWDKurUjMDPP/9MudIaUbjmaobU0RXdfMsttGnjVOI1WrWvucbRY8XgQAAEzCNQt+4lQXrsaMCC9GD2AWJvDr03tQe5iYnNkf5Mb/CoHwRAIGACEKQBI0MBIwiwEC0qOkZHio4Sv4+OjqIk6Yc0PDzciObRhk0JtGzZSvQ8L+8QtWl7g01HgW6DAAhYnQBH2eXtaFERdejYKaDuFuTnU69evwqoTCAnqwlRxFgIhCDOBQEQMJoABKnRxNFetQTUhChH/ouKiqy2HA6CABNIbX/RBS43JweCFJcECICArgTapqRQ9oEsqY0BfrdTWvo9/SC50Ha6qbPfZfw9EULUX1I4DwRAwGoEIEitZhGX9gdC1KWG13jYPIPe5+4+tGPHTurb3/+bRI27gepAAARcQKBx4ya09rM1xCIzOrquXyPet2evOC8tLc2v8/05CULUH0o4BwRAwMoEIEitbB0X9A1C1AVGNniIt9/xa1qzeg3t2rkjYFc6g7uK5kAABGxMIOXGdkKQ5h065Pd3zcGD2ZLHTxS1SGwR8sjl38/8gkJRV0xMfbG0BenPQkaLCkAABAwmAEFqMHA0d5lAyfHvKCfnkFgjGhERLv2QtoBr7mU8eBckgTt730mzZjalb77+l983iUE2hWIgAAIuJsDrSK+TvDL8/a7hmVROFTNk6NCQqMlC1DvGApa2hIQUhUEABEwmAEFqsgHc2DwL0fz8QmI3I36Sm5TUguJir3cjCoxZJwKPPf44TZowAbOkOvFFtSAAAhcJdOvew2+33R3bt4tCd/e9Jyh8EKJBYUMhEAABGxCAILWBkZzSRaUQTU5uBSHqFONaaBz8oINd6Xj24uO/LKIGDRsFnJbBQsNBV0AABCxMoFuPi4L0i88/pwcf+q3PnnIqqi/Xfk4JCQkB5x+FEPWJFQdAAAQcQuBKh4wDw7AwARaiX3+znbKyskUvWYjeestNEKMWtpkdu8Y3bQUFh2n7jnSRt3bMk09RWK1atOiDP4u8pHYcE/oMAiBgbQIczKh7z9to04b1VFxc7LOzmzdvEtF1xz39tM9z1A7wdxr/fvI6UV7akta+HbVPvRHLW9RgYR8IgIBtCVxxQdps23t03NIETpw8JdaIyq65zZo1hQi1tMXs2bnqZg++2vIVPTxkiFjnNebJsWLW1J6jRK9BAASsSoDXhv5h8kt0/fXX01Pjnqba11xTqassVKe8MIm69+hOf/7gg0rHfH1QehTx0paY+vV8nY79IAACIGBrAhCktjafNTtfVnZaPM0tLS2jsLAwahzfSHJTamLNzqJXtiVQnRD1HtSh3EM08L77qKysjDp1vpl63vYrCFNvQHgPAiAQMgGO6v3evLfFd4u3KGUxOnP6VPFbuPbLLyg2NrbatpRCFA9yq8WFgyAAAg4hAEHqEENaYRhqQjQ+vqH4IbZC/9AHZxDwV4h6j7ZCSkQ/e+YsWrRwodjNkTETmjUjziN4zbXXep+K9yAAAiAQFIH8vDzKTN9F10uiM61DR/rxxx+FK2+klOblk6VLq031AiEaFHIUAgEQcAgBCFKHGNLMYUCImknfXW0XHT0mIjSzKI2OjqJAUx2wMN2yeQut/+c6qZ4C2vPtt+4CiNGCAAjoToCjx/NSFc43etfdfWjU737nc2YUQlR3c6ABEAABGxCAILWBkazaRQhRq1rGef3CTZvzbGrFEbGI4CAyxSXHRfcaxMWK5QYsMLCBgJYE+PczR1pOUF5eIbyIkP5MS7qoCwRAwG4EIEjtZjEL9Jdv2nJy8+jEiZOeNaJwzbWAYRzYBQhRBxrVgkOCELWgURzaJTzIdahhMSwQAIGQCECQhoTPXYVx0+Yue5s5WghRM+m7p215PTKn1OAtJqY+JSU2J8yIChz4T0MCEKIawkRVIAACjiMAQeo4k2o/IAhR7ZmiRnUCEKLqXLBXWwKyED1SdJSCXY+sbY9Qm1MJQIg61bIYFwiAgJYEIEi1pOmwuiBEHWZQCw9HedPGqQ7iGzW0cI/RNTsSgBC1o9Xs2WcOoMZLW7zTn2Fpiz1tiV6DAAjoTwCCVH/GtmsBQtR2JrNth5VClHPW4qbNtua0bMchRC1rGsd1TO33M1FyA+ec3NhAAARAAATUCUCQqnNx5V61m7bk1i2xnsqVV4O+g4YQ1Zcvar9MgKPmwjX3Mg+804eAmhBNSGiC3099cKNWEAABhxGAIHWYQYMZjpoQDTS/YzDtooz7CECIus/mZo1YuR6Z02rE1K9nVnfQrkMJQIg61LAYFgiAgKEEIEgNxW2txiBErWUPJ/eGb9qyDhzEeionG9kiY1MKUV6PHBd7vUV6h244hQCEqFMsiXGAAAhYgQAEqRWsYHAfIEQNBu7i5nDT5mLjGzx0CFGDgbu0Ofn3E6mCXHoBYNggAAK6EIAg1QWrdSstOnqM8vMLkerAuiZyRM8gRB1hRlsMAkLUFmayfSdlIYr1yLY3JQYAAiBgQQIQpBY0ih5dwk2bHlRRp5IAhKiSCD7rRYDXI+fkHqLy8goRwZTXiMI1Vy/a7q0XQtS9tsfIQQAEjCMAQWoca1NaghA1BbvrGoUQdZ3JTRswAmOZht5VDUOIusrcGCwIgIDJBCBITTaAXs1DiOpFFvV6E1C7aUOqIG9CeK8VAQhRrUiinpoIIFVQTYRwHARAAAS0JQBBqi1P02uDEDXdBK7ogJoQRaogV5je8EFCiBqO3LUNKn8/2yS3oqioSNfywMBBAARAwCgCEKRGkda5HeVNG6c6iG/UUOdWUb3bCECIus3i5o23oqJCWiOah1RB5pnANS0rhShSBbnG9BgoCICARQhAkFrEEMF2QylEG8c3ovj4hiLIR7B1ohwIKAlAiCqJ4LNeBNTWIycmNsd3ml7AXVwvhKiLjY+hgwAIWIoABKmlzOF/ZyBE/WeFM0MjgFRBofFDaf8IqAnRhIQmVLt2bf8qwFkg4CcBCFE/QeE0EAABEDCIAASpQaC1agZCVCuSqKcmAsqbNk6rEVO/Xk3FcBwEAiIAIRoQLpwcAgH+/dyflU18zfGDDrjmhgATRUEABEBAQwIQpBrC1LMq/gHNOnAQ66n0hIy6BQGlEMVNGy4MPQhAiOpBFXWqEcCDXDUq2AcCIAAC1iEAQWodW6j2BDdtqliwUwcCEKI6QEWVVQjI65HzCwrFsZiY+pQkrRGFa24VVNgRIgEI0RABojgIgAAIGEQAgtQg0IE2AyEaKDGcHywBCNFgyaFcIARkIXqk6Cjx++joKEKqoEAI4lx/CUCI+ksK54EACICANQhAkFrDDp5eQIh6UOCNzgT4pi0n9xCVl1eICKa8RjQu9nqdW0X1biMAIeo2i5s3XghR89ijZRAAARAIhQAEaSj0NCwLIaohTFRVLQHctFWLBwc1IgAhqhFIVFMjAeXvJ6c/4wjNYWFhNZbFCSAAAiAAAuYTgCA12QZqN23JrVtiPZXJdnFi8xCiTrSqNcdUUHCY4JprTds4qVdKIdogLlYIUaxHdpKVMRYQAAE3EIAgNcnKakIU66lMMobDm4UQdbiBLTQ85XrkNsmtKCoq0kI9RFecQABC1AlWxBhAAARA4DIBCNLLLAx5ByFqCGY0IhGoqKiQ1ojmIVUQrgbdCSiFKFIF6Y7clQ1AiLrS7Bg0CICACwhAkBpkZAhRg0CjGZH0nV0mi0uOCxrsxpYopdXAeipcHFoTgBDVmijqUyPAv5+yGzgfh2uuGiXsAwEQAAH7EoAgNcB2RUePUX5+IVIdGMDazU1g9sDN1jd27BCixvJ2a2t4kOtWy2PcIAACbiMAQaqjxXHTpiNcVO0hACHqQYE3OhPg9cj7s7LFLDwHjoFrrs7AXVo9hKhLDY9hgwAIuJYABKkOpocQ1QEqqqxCAEK0ChLs0IkAAmPpBBbVViIAIVoJBz6AAAiAgGsIQJBqaGoIUQ1hoiqfBOSbtvyCQnFOTEx9SpLWiCLVgU9kOBAkAQjRIMGhWEAE5O80pAoKCBtOBgEQAAHHEIAg1cCUEKIaQEQVNRLATVuNiHCCRgQgRDUCiWpqJKD8/USqoBqR4QQQAAEQcBwBCNIQTKq8aUtKakFxsdeHUCOKgkBVAhCiVZlgjz4ElN9pjeMbUXx8Q0Ro1ge3q2tVClGsR3b15YDBgwAIuJwABGkQFwBu2oKAhiIBE4AQDRgZCgRJQLkemYVoQkITCNEgeaKYbwIQor7Z4AgIgAAIuJUABGkAlocQDQAWTg2JgJxzj0VpdHQUNUtoSlFRkSHVicIgoCSgFKLI76gkhM9aEYAQ1Yok6gEBEAAB5xGAIPXDphCifkDCKZoQUN60sRt4TP16mtSNSkBAJgAhKpPAq94E+PcTqYL0poz6QQAEQMDeBK60d/f17X1FRQVlZH5L6Rm7qby8QsxS3XrLTXBl0xe7K2tnIfr1N9spS8rxyFtyciviaw1i1JWXg26DZiF64MBBca0VlxwnnhHl66x165aI0qwbdXdWzEJU/v1kTw/28ripUxriLAR8OZynsvTZ1DcxgZp3HkPLC876UYNUJnMlvfvsPdSqqVRO/OtCI2csoo1+lfejCZwCApoSCOY617QDVSs7X0Ab359DE+5OufQ3xH9LKdT32Tn0wYYCOl+1hLZ7yjJp+TvPSX/7N9OEDWVB1n2KMpfNFWNo8+xGOhdkLUYUwwypCmW12YNEKa1GWFiYytnYBQLBE1DOiCKwR/AsUdI3ARYEshs4nwXXXN+scCQ0AvAoCo1f1dJltPHZ39CIT46LQ7Xvf592v9qDrqp64qU9pyh9xkga8vWN9Oabz9GvEogK182gp373Ie3lu9GrUumxxfPp2TR43vhEiAMmEAj0OteziyyO36CHB71F2a0fprfE39FV0kOe9+mZUTNpw3H+Q4qgG0a9Sx8+dzNFadyV8wUb6YN5b9CsT/ZcEpCxdN/7X9D0nv63xHUs+uRjWjBvPV385iCq+btD44EEWB0UlhcwNSHKgT2Q39ELEt5qQkApRHlGFBGaNUGLSrwIIDCWFwy81ZWAUojyjCgiNGuBPIJSB95LN6x4i/bWu4v+36ibqxGjZylv/u9p8LwfaNiKZyQxWlt0oGmv52j2s9nU+5VtdO5cJi1csofGplUnarXoN+oAgUAIBHKdB1JvoOdeFqN76z1ACxa9QD2iaolKolJH0jsfEw389VTKPFdOexd8QBtGdKL+9S4eD7Ql9fNz6IMnX6bP6D8hzGYW06o/vkSrqJF6ExbdC0EqGQZC1KJXpwO7xTdtObmHhAs4z7hDiDrQyBYYEoSoBYzgki5AiOpt6FoUlTaeVuaOr7mhU2tp+quS6KSOVDfKew61NjUf+RZ9/P1ISayeoC43NSas16oZJ87QkMCpNfTqqpb07LAkH5UGcJ37qEGT3ed303tPvit5E1xFjfoNoK6XxKhcd63mv6VZbxcLj4PsGzrSjYrj8nnBvybRiNWbaAQV0/LhvemZ9cG46jag/n/+ivpLTsWnlo2iW8evC0HcBj+SQEu6WpBCiAZ6ueD8YAngpi1YcigXCAEI0UBo4dxQCCh/P5EqKBSaWpSVbj43fUlfCbfcKKpbRyk561Hac8sp+zkt2kIdIBAIgR8pc8EC+qbuzEAKmXLu+T3/pM+P8h9RFCW1iKOqc5+1qWmvydIDosk69y+G2ndOJFq/M4R2alGd6GgxBh6R1TdXClL5pi2/oFDYJyamPiVJa0Thmmv1y9V+/YMQtZ/N7Nhj+TvtSNFR4vdIFWRHK9qjz0ohivXIVrFbOe3ZvvfiTEitaIquU/VW2io9RT/cReB83sf0yoIcometPu5zVLQrnY6KbtametHXWr3DjuqfqwQpbtocde1aejAQopY2j6M6p1yPfGNKW+SsdZSFrTEYCFFr2MF3L36k0lP+ROD1XQOOgIDmBMq20uyxc6Q1l0Q3aF651hX+QAW5RVpXivr8JOAKQQoh6ufVgNNCJsCpgnJy86i0tExEZW6WgMAeIUNFBaoElEIU65FVMWFniAQgREMEaFjxCvr+BASpYbjRUI0EzhespZeenECL95RL514MsFVjIZzgWgLKRQaOAsFClFMdcH5Hds+NiAintPbtqH3qjZhBcJSlzR8M37RxfsftO9KFGJXzO3KUZqQLMt8+TuoBC1G1nLWI0uwkK5s/Fv79zJUervG15pqctec20oRWct5O+VWZA5DTU9zslZeQz2tNfedLLonKTeQxnEYjO0u5Cz3HL+cFFPlBE++hCfM3UmF1SQ195iP07ssdNG3PJUF69hMawXlL5RykrZ6jjaqLyM5S4YaPFPlKk+jW4dNowbJMqj6cijyOTpfGxrlPF1/K2ch1zKfMMu9Byeen0OV8iFxmOb06vMulvnKOx8WKctzHRV7ncN2vh5hP1eC+qOaz9JczX1Tc3/leDNi2fubD1Ooa5G6ojkMtv63U3/mPUtceoy+JUS58lva+ckf116TP65zLKzc1Jmp9UZZTfs6hBXe3vtSvVE96JZKSpSwdlnq5v/LfkuL18rWsrPfSZ7+Z+Sjv127+O1LkHe48gl6t8W/Yr8qNO+mCQ7f8/MILmzb/68I/12+6kJ6x+4I0Y+XQkWJYZhL46aefLmRlZYvrjK81fs/7sIGA1gQkUXDhX19vE9cav/JnbCCgNYFz585dUP5+lpeXa92Mtesr/ebCjD43XGjWpKn0r/OF59aXVu1vpXNaXbjnvYOXzynNuLBs+vALt4jyXMel4z8furBs5C8v1cv75X+JF2555h8XKrfy84XSjBUX3nnm7gstPef56Ito+eCF+X1aXayz5bMXNvz3cndU35XuujB/mNSXm4ZfmL0+/8LP4qSfLhSsf+3CiJsSRT0t+8y6sKv04hG5jp/zN1x4v8rYDlwoXT/x/7d3NuBRVWce/69ptqyChiCILQIxIQJKlhAhrGifJoiPrCLfEcqWj2xCjIALBsKXXQENIIhCi43hIyI2giHyUWixIGELLYIawoZaaEgMCm5RCEkBLXU6nT1n5t6ZOzczw0wyydzM/d/n0bkf557znt97brj/ez5eTX1lvfraMkq+sIlK2N7Nz7UNj1Pr2t3We06p7VvbJdvxdZm6e5Q0yfNtpfZyL9k+Xj5SU39XHncnT7e9+2mA/9aGwhZnO3nQllVS5eD8909t++erfvXke5W2+FX91O1BW8a6j5U2Iti9M9+NqastKW0tKG3QZcffP33HlpXc1zZ8zhbbcbtvZPvcYpurPidxI20vfXzJdYOy9+2BXFtve/vVPSPOlIG2c3GjwvSeYfNtxceVMt2Yalg7y/Fnp85WOmeg8lx6e9b+aqtaN87ZJh1t2XPejWXmyO1bW826sTewRaZUnxHRPlbus9XYH1f5HK8Tvhloe3zYYL9s9VyDlj0bdj2kau+B7BGVPVMJYj4Ve0Rb7gOHWUpSe0RN1XtgFucarJ5yPjJ7RA3mlDA0x9eIorZt24ZhjX1UKep+pA3r6SOBuOQ1jQjXkJOOOZqA9PaMrH/EhrFPY2/sLJScqEL12SqUvTsdfezRWSy4sGMbSms1PYoy/MSMXKworgh+yAbraWxIn4Jlh7pgftFaPJsao6wmKlYQTZ2F17e8iCGdI2GpWIsJE1ejzNnTKeMbPosXdXWzni7AU2s74KcnKlG2YwFSxb3o/CCG9vurg8XyYhFGQ4vzIspemom8M6lYq7JQ75PJLuzF2wc+EWmy8WzlQ8g/eErwqkH1iRLMH6zEVrzwG6wp/kQEtvB3U/zSorbIMp9GgRiyGjl4FvJGxzo4R8Tg4Rdewux+7YTxwvfFL2Nd+TcNK2KtxvbcmVh24Et0TvtvrMxMEmu/yq0DEsXxqtyBSkzaSHF9Hcoko7OnsDOzbXDaoGKRtaYY08Yvw6X/3IJ3V4xDoj3UiQjTkjgOyzevwljpbxHftmDcdGyoDnDYeKDtvH4/5j06CQVfPY78zS9gbGIHh5WSac4kPGR/ns5j/7zn8Eagtij19f3TBl1ju3pYfdf9rmZl5iyqVjwjMpRTFe5buB6vzx6C7va1zORznCl8swT3fvV58P9+OMsP7k7YCFJViIoeKjshOZ9q0APJ6Hi70liDy425mZQAhahJHR+Caksherz8fyFGeNhXzpXzkZMHJIFDc0PgjDAu0pcQjYq6LYxr3lxVkzEAy4Uw+AQl2WrMRTFccdVmXF74NtbPHeV6oU/KxvMZShrLR9j7P1+6jIpIQu7vKkU+v8fKwQ4Z4rrYlL3rqC5cjJePX0fnkekYE9twbl9EzGjkzfmhXexYKgrwzNJSZfiuWrcqfLhqiCKGruOPv7yAh1dOQ5KIfRqVmIn1R4XdR3+GUTGxCgttejF4c0cRdvdbgnfcxE06litlQpRWmjMNr0fPxa6Ns5ASo9gYlYSMFbOQqoj487vfR4XfitST7c1sS82vsFmJIxnRoT1u1botoiuSku9UzlzB5bpvtVft+9aKEqzZJ9d8jcHw8YMUMaomE7Fl02cjvYuEof+goda1iW3QXpT8CLEM+zEU08b2aCjEogbhyZExDqMsZXirJJCPBOK2gNr5RRxcmodtF25B6pzpSNHHAO0wEEN/oDwrltM4duKyw64W/38zM7PXRwzTLV2FZ/LLgX4z8FJ6T9++aXEGgRfY6gWpNyHKl7bAGwPv8E5A+9JmmvlU3nHwSjMS0ArRq1evQQpR+XGN85GbEboJs9b+TeMaC83RAG7Gff37Kku5tEGf3OXITdJ/INemuY6Ll695MCQKMfGdPJxv5Kn6w1i/sUxImFvQO/lenchR84xAhxFZGrFTiBK33iZXfEMIWdolYzameBC2am5CdTjjIcpzbUbOxKIhaq+smkqU2a8/nP3SCROx0NkjqKYRv1Hd0OMOuyIFLl1G/T801/zaNYotkWgfrX7wqcfp6q901n+Din2lSgiS2xAtxH6DLeJOxN1zi+O05TNUff43XRJt+2pcG7SWv4U1QlRH3ns/EvQC0F7ad9E1rpvyccKCwD4SaM29cTu3lhdiUfFnosn1x9Af3qG9Wdn/HoY/N9/eu+/ooY/2kKb5T7UIM+sZlKzdI2a6RuGhCY8h1t4zqq+b1v/6a8Y7brWr7EohKua5QPZYyfihXGHSeI0rHCySL23nzn0BxncMB28auw4MFWRs/4STddp/P+Vif/E94rjQn2EdrBUuTTXSitoD27Dzghw/2wPJ/Tp6zzCiF4YMi0FBvlisyXICe0o/R0as2uOrvS1CCKt2DXtntEnEfmRMnCgROKk773bYJQ49RWfoSV+jPiPaITpavH2fdxsD7JbNjQ5azJauD+FxMSz35Mk4THoyQRFtN7JOvf4t6muvqAdefm9G+w5qD7fayxrM2JmauJwHcjCge44XOzSn1Y8EHgWSJl2D3Ru1c41A79Uf/Tp4LiAiJg2vH01rkHvLnWgZZtaKXXjr+FVRrXj0uDuYIyhajpS+pFYnSOVLW+WZKsieAzlHlEJU71IeB4MAhWgwKDIPfwhQiPpDiWmCQUArRPkhNxhEW1seV1Fx7KSfc8rUnq9Kkf66WHH5C/EbH6Coam18gmxvRE9kbK9Ahlu2ckXU3SjZtwdv5H/kdsX7wV9wuV4KcA+9pM6b7kJcjNJb6jzX1B1XXM42aYU4sSLFpwVNLc33/fWoqdT3Ivu+IzRXW4KZRvTCS+95aCrfpFJbjSDlS1uT/Myb/SRAIeonKCZrMgE5ukOGpZJDwOXW9a4uHJbbZKrMwBMBClFPVMx47itUn673s+Kuoa1SCl0/XYUvkILuft7NZHoCMkzJVrzzZgF2ivmYs0aMxYvzriBjuTdR2g4JyX0QWXxBfAiowa/2nUJOYpKuJ/ob1NUq3cldkpDU1Zdg1dvjz7Erf2ttHWR/rX7QuT+5BCeNJs7u5cuoE3OHu3vuJA1OcY3OpSWYuURvo8004I2GF6QUogZsNWFoEoVoGDrVoFXSC1EZs1bOD5U9VtxIIJgEKESDSTPc8rpxr5t2aGtkxw6Qa8JyC5SAjKOaj7wF+TjcaSRmz9yFT+yrGltwdv1GH5nJebzPYnbRUSwTQzPP73gXh7L6ui/kU3sUew/JDwzdMHZJOhKDLtBcItDypzP4XIhALyNlfdSjGS59WY0asfJzoiGM0dfPoMz0Zhrw2LCLGkkhqq4wyYU9DNhywsgk+dJ27MMyqKGCkvr1ZaigMPKvUarCFZqN4onwt+PipVqGCgp/Nzeihm0R3VH98PUVznzqb29pJO6I7+ZlAaRGmGGaW2RYjh/h0fSfCjGahaLNS5HhDLHjBwQ55LewAFkJ4lPAhS3Invgi3q9x9Ihaa36NhVMWodTSBUNWbUReqo/5wH4U5TlJJ8T2VOYnni/F/goPoWncbhRzlHfvxKHGT+91y839QNN29StSuydUjr5BeeFWlPu9CrPHTBpxsqWZnUNVzdeNsNN4txiuh/TatWtijmg16urq7XNE747pjrvu+r5933j4aFFrJsDeg9bsvdZjO3tEW4+vWrulnkYUyd53boESuAntoqPs8+Wa5d06UHOClr4j+g0USwsdkMNEv0Zl1Z9FHM/v6YaBugqz1ouhkfbDGDz2SC+v6Vx3cM9FwBWWQ869zVqcLcLiNKILM2oApi6egTPPH0OHju8jK2WTUkQ79EnLwsrF4zBKjcXpKjxIe/+MqA4yWI2cVlKJwheKMHpbppcVXUUSsfLrjr3nkPTvQSreLRtlFV57GB0RFujVt1A+Yq73XmHrKRysaoNJjUDuVmzABy3BTFtGLT74qBrWVP1w7oAND/kNhukhVXsPZE+VFKNyGBtDHYS8fYSlAVKI/v7IMehj1jJUUFi6O2SVksPAz4iPa7KtMVRQyNxgioJ9jSgyBYCgV9I1f1LGxGwYkiPoBbZQhpG4K3UIEu1TDUWIDjkMVAx99LwJQfVpNeyRUbukYkhCMFdv9VxieJ39EqVFe+1SDo1eeEb4oGw1Jo8vRfKra7F842ERl7ZG+a8CO1dMa0YxKr1xMxIeSUUXxTGW4z9Dzk9+jbMem4yw9bdFeK/bA0hoFhHobgvOF2Hxyx8o8XH1LUfG2i1AZdKAEMx5dbezeZhpyxDP8YYC7Kr16BQ9GEMfh1yQqkLU00ubXEWXGwkEiwCFaLBIMh9fBKQQlYsVyb9pMlxQ+/ZRSB6QhF697uE8UV/geC1gAr6EKP/9DBin2w03tY/G7fYz13H66B9Q63ZVvHyXb0LexhPKWSvqLl8VvY0G2ax1qLvi2ZqI2BGYNlLpNb+wB69tO+PF7stiRV65wm47JE4a7kNkGKzuBnEB4JpLCKjzdbXGiVVjz/heNdZaXYiMcWtx5ompmOQzzqs23+DuRyQMx49F6BrHdhUn356GR0fOxYbSGle7sdbg4PoFmPx0FR4dc69bT7rrOWp6O2lgS34WJueux0FlGLPdxvpybH/9eeSsAh7xGKvUF59AFv1y5KMu9qTNtYGdATLT5uVtPyLhYTzWRVnEyrIfCzILUd3gkb+I3713TKyR7diuH/kQf2iQxlsJLX8+ZILUlxDl4h4t3xDCuUT50sYe0XD2sDHqphWicj6yjO+ozkdu27atMYykFWFBgEK0+d2ofeGzHHoTr+xXXsCVl++MFy7hkZH3KYaIXor8KRidMwMjRq3HWftZK67U1Skv7WrYFF92e0tjEWL3L8qN11Fb52Uen/UqLl9W3jYtn6Hq8795KawjUhYsc8xLxFWUr1iMN6rVV1bXLdbqnXhtx/+h8yPP4eX0nm4iw5VK7llwScTL/If7yQZHlpoqnFHOenqJt1+6UgdnR4+ykmqDjLT1vC56CxsRj7RlbOmCpEFdFfMrUZA9F9vtwkl+zNiKeU+Mx5rTqo8UsSba1vuL1itzMEXczZISlIsx49bTx1HhtSe7ASHNiSC0QTGPdcrKGUqvuiNrS0UxlqWnIr57DGLlf7GpyMjbgYtPpGOMTjhHdO2BeH2PvKzngll4pVzblv1o5w1sEQK5WMzLTenlsEPa0ncU5izfi+/kPIvhgS56pG1bQsZ5fdY0hC0Xa8VTpNsa2CmekgCYKZQ1z72HURoRfTF1TRb6qJr0+FI8NnIBtpUrn86EMN+W+4xoY99xheo5vxHTp85C5oNPY7vzQdPZHsLDFhekFKIh9LbJita+tEmxIOcjy54qDs01WUNo5ur6EqJRUbc1c+nM3kwE5L+fFSc/QdnxE/apLfJvGqe2NFMLiLgXoyclOV7mLBXYmqm8gIuX7+zdnTC/cBb6R2tHcd2Gjp36479W/dgRGkXOpxMrpKpzUK8f2o7d2p4caba1Gru3HnH1YHhIY63Zg4IdNUol63H4zS0o04sT+YL/kyUodIqzGuxaW4RyfToVVdS/IWfNcoyTi+VYxCquE6bjFWePl1wV9lU8NeEV/DnlRRTlpzUMr1H/AV5dvden3WpR9l9dPS2HfoGNZcqLszOhWABowy9wWAV2XtR7p5gb57wud4RtOzdhl7Oep7Gn+GMvwzbdbnQdtJgtYljlmDEuISd6o+fYhVMckrJLEbf4HWyb+QM4lpiSHzTGID52Ikr6pGKQXWTchFujox3zmCvWIq1vnEt0qUJQ89vzCV2vpaxxkNpgRGw6NhQvQGpnRf24aCp7keLDhWgry4Y0XPgqqjeS+4h2JjexMFOGrEfscKy9LQ3pia5h4H61c5GF3Zat051CzJ6v2//E3NrsAmzI9PURxe0G5UCE5RHDfF1tS8xTXbkIG1SBp95SX4Y3i1zPLE7twXr1Y5WaRvw2iZm4352HGKWxe7fuuY9AVNI0rP75ZCcLS8UWzBt5v6Od9H0Sq+tHYsUM/dzSTnhgyZzAxbqmbs21+082sTVX5tp85UvbuXNf2Fcylec7drwd8T1iOYRNC4n7QSEghajsoVIXxpLxHbkwVlDQMhMNAfVvmhyWK/fl0FwpEChCNZC4GxQCUohqY9YyVFBQsPqRiYwduQE/X7kRpReEUopMwNjcmXgqPUWINBm2YwIGb7wVWVMnIG2SPCezVM7neYkvmbAAB345GZD3+kwzFjW5Q5Eh4lA23Nqgz8Jd2JnZCQe9plHvUtPGqyc0v67YmNsq1H4ex2I5E8d7WiznBnVDf8w/WISMGFW43CB9mzRsOPkSHjw8F33Ti50CV2Og2FXyxCaMSFmKk+4XlaPOGFu4F8tTlRVhPaYJhS2yN3Qblj+/FA6+XZCaPQtPZw1HolzgSIjj7dmTMWffedG0xuOFxTkY67ZAkfDP+vmYnrdfmYvqsWKak3LF3U14bXRXnLth+5rsRxvMdI87K4fDbt2KzauKcVL5cBCZkCZC2TyFKb5WDxYibkPOTCw7cN7xDOUtwry0REW81vtowz7abgNbfLVbDaIGu77KVxPLNrgJD78/2fszq7TlFLXpq7c2sFMi8MXMtz1t0gpxYkWKq9dTlGOtOYg38lfj5eIKxwewzoOdf5O+/1v5bB3BA9mZ+FFaGlJiHJ9AVPOM9NvsgpQvbUZyd3jbQiEa3v41Uu3kfOTKyiq7EJVDc+N7xFGIGslBYWILhWiYOJLVIIFGEZBhY2ZiZfRCFPns8ZPCdxfWrX0VBX96HCVChAQ/JmmjKsCbSMBvAtrxJn7f5E9CClF/KDFNMAjohajspWKPaDDIMg89AX2ooPj4OA4B10PicZMJUIg2GSEzIIFWTkCsFLt+OiZWjsWhjTcafiqGbyaOQu5ztTgytAr1ckKvvbe+lSOg+aYiEHRBSiFqqvYT0srqX9rk0FwZc4+rS4bULWFZuF6I9u7dk0I0LD0d2krJfz9lqCAZJkhuHJobWn+wdBIIDQHR41m6BBPzzmJYYarfoUtk3Ngrg5KRoB82GppKsFQSCIhAUAWpnOPC+VQB8WfiRhDQC1G+tDUCIm/xiwCFqF+YmKiJBDx9yJVrLHB15iaC5e0k0CoJqDFMv8bh9z5CfaqHxYJ09bLWFGNa9n4MWJrut4DVZcFDEggpgaAIUv1L278m3Mf5VCF1a3gWTiEann41Yq0uXqq1zxGVbU6GoWKPqBG91Ppt8iRE5ZQDLozV+n3LGpBA0wlYcKF4KgaeTsOsYX0Q//CYBovSyAVtNv/mPexadQSdl4vYuKkdm14scyCBEBBo8qJGH35UhqtXr9lf2u6+uzuHsYXAiWYoUs4TlaEO5MYeUTN4PHR1lEMm5UgPOfRbHQYeOhp7t7UAAAUCSURBVGtYcrgSkGJUxkeWv1yhOVy9zHqRQCMJaFemvVEWnYdgfv4yZLit0Hujm3idBIxFoMmCVA7TbfMvbShEjeXXsLPm2rVruCgCEN955x0MFRR23jVWheSIDykSZLxazkc2lm/CyRq1d1SKUfaIhpNnWRcSCBYBuXrubpR8fArHNr7hCD3kzFqGkPkPJMcNwJjRaggV50XukECrI9BkQdrqakyDSYAESIAESIAESIAESIAESIAEDEHgJkNYQSNIgARIgARIgARIgARIgARIgARMR4CC1HQuZ4VJgARIgARIgARIgARIgARIwBgEKEiN4QdaQQIkQAIkQAIkQAIkQAIkQAKmI0BBajqXs8IkQAIkQAIkQAIkQAIkQAIkYAwCFKTG8AOtIAESIAESIAESIAESIAESIAHTEaAgNZ3LWWESIAESIAESIAESIAESIAESMAYBClJj+IFWkAAJkAAJkAAJkAAJkAAJkIDpCFCQms7lrDAJkAAJkAAJkAAJkAAJkAAJGIMABakx/EArSIAESIAESIAESIAESIAESMB0BChITedyVpgESIAESIAESIAESIAESIAEjEGAgtQYfqAVJEACJEACJEACJEACJEACJGA6AhSkpnM5K0wCJEACJEACJEACJEACJEACxiBAQWoMP9AKEiABEiABEiABEiABEiABEjAdAQpS07mcFSYBEiABEiABEiABEiABEiABYxCgIDWGH2gFCZAACZAACZAACZAACZAACZiOAAWp6VzOCpMACZAACZAACZAACZAACZCAMQhQkBrDD7SCBEiABEiABEiABEiABEiABExHgILUdC5nhUmABEiABEiABEiABEiABEjAGAQoSI3hB1pBAiRAAiRAAiRAAiRAAiRAAqYjQEFqOpezwiRAAiRAAiRAAiRAAiRAAiRgDAIUpMbwA60gARIgARIgARIgARIgARIgAdMRoCA1nctZYRIgARIgARIgARIgARIgARIwBgEKUmP4gVaQAAmQAAmQAAmQAAmQAAmQgOkIUJCazuWsMAmQAAmQAAmQAAmQAAmQAAkYgwAFqTH8QCtIgARIgARIgARIgARIgARIwHQEKEhN53JWmARIgARIgARIgARIgARIgASMQYCC1Bh+oBUkQAIkQAIkQAIkQAIkQAIkYDoCFKSmczkrTAIkQAIkQAIkQAIkQAIkQALGIEBBagw/0AoSIAESIAESIAESIAESIAESMB0BClLTuZwVJgESIAESIAESIAESIAESIAFjEKAgNYYfaAUJkAAJkAAJkAAJkAAJkAAJmI4ABanpXM4KkwAJkAAJkAAJkAAJkAAJkIAxCFCQGsMPtIIESIAESIAESIAESIAESIAETEeAgtR0LmeFSYAESIAESIAESIAESIAESMAYBChIjeEHWkECJEACJEACJEACJEACJEACpiNAQWo6l7PCJEACJEACJEACJEACJEACJGAMAhSkxvADrSABEiABEiABEiABEiABEiAB0xGgIDWdy1lhEiABEiABEiABEiABEiABEjAGAQpSY/iBVpAACZAACZAACZAACZAACZCA6QhQkJrO5awwCZAACZAACZAACZAACZAACRiDAAWpMfxAK0iABEiABEiABEiABEiABEjAdAQoSE3nclaYBEiABEiABEiABEiABEiABIxBgILUGH6gFSRAAiRAAiRAAiRAAiRAAiRgOgL/DyMjnQA+OOnHAAAAAElFTkSuQmCC" alt></p>
<p>The rod moves vertically up and down with simple harmonic motion with a time period <em>T</em> at right angles to a uniform magnetic field.</p>
<p>The diagram shows the variation with time <em>t</em> of the vertical displacement <em>x</em> of the rod.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p> </p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the axes provided, draw a graph to show</p>
<p>(i) the variation with time <em>t</em> of the vertical velocity <em>v</em> of the rod.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>(ii) the variation with time <em>t</em> of the emf generated between the ends of the rod.</p>
<p><img 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" alt></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 length of the rod is 0.18 m and the magnitude of the magnetic field is 58 μT. The frequency of the simple harmonic motion is 2.5 Hz. The amplitude of the motion is 8.2×10<sup>-2 </sup>m.</p>
<p>Determine the magnitude of the maximum emf ε<sub>max</sub> between the ends of the rod.</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 frequency of the motion is doubled without any change in the amplitude of the motion.</p>
<p>State and explain the changes to the variation with time <em>t</em> of the emf \(\varepsilon \) generated as a result of this change in frequency.</p>
<div class="marks">[4]</div>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p>(i)<img src="data:image/png;base64,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" alt></p>
<p>cosine wave same frequency as original;<br>phase correct;</p>
<p>(ii) emf in phase or antiphase with answer to (a)(i);</p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>max speed =8.2×10<sup>-2</sup>×2π×2.5(=1.29ms<sup>-1</sup>);<br><em>ε</em>=58×10<sup>-6</sup>×0.18×1.29;<br>13.5 μV;</p>
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>frequency of the emf doubles / period halves;<br>because same change of flux in half the time / because frequency of emf must equal frequency of oscillation;<br>maximum emf doubles;<br>maximum speed doubles / flux changes at twice rate;</p>
<div class="question_part_label">c.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">c.</div>
</div>
<br><hr><br><div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>Two cells of negligible internal resistance are connected in a circuit.</p>
<p style="text-align: center;"><img 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" alt></p>
<p style="text-align: left;">The top cell has electromotive force (emf) 12V. The emf of the lower cell is unknown. The ideal ammeter reads zero current.</p>
<p style="text-align: left;">Calculate the emf <em>E</em> of the lower cell.</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 diagram shows charge carriers moving with speed <em>v</em> in a metallic conductor of width <em>L</em>. The conductor is exposed to a uniform magnetic field <em>B</em> that is directed into the page.</p>
<p><img 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" alt></p>
<p>(i) Show that the potential difference <em>V</em> that is established across the conductor is given by <em>V</em>=<em>vBL</em>.</p>
<p>(ii) On the diagram, label the part of the conductor where negative charge accumulates.</p>
<div class="marks">[3]</div>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><em><strong>ALTERNATIVE 1</strong></em><br>correct application of Kirchhoff to at least one loop <br><em>E</em>=«4.0×2.0=»8.0V</p>
<p><em><strong>FOR EXAMPLE</strong></em><br>12 = 2.0<em>I</em><sub>1</sub> + 4.0<em>I</em><sub>2</sub> for top loop with loop anticlockwise <br>«but <em>I</em><sub>2</sub> = <em>I</em><sub>1</sub> as <em>I</em><sub>3</sub> = 0»<br>«<em>E</em> =» 8.0 V </p>
<p><em><strong>ALTERNATIVE 2</strong></em><br>«recognition that situation is simple potential divider arrangement»<br>pd across 4Ω resistor = \(\frac{{12 \times 4}}{{\left( {2 + 4} \right)}}\)<br>=8V </p>
<p><em>Award <strong>[0]</strong> for any answer</em> <em>that begins with the</em> <em>treatment as parallel </em><em>resistors.</em></p>
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
<p>(i)<br><em><strong>ALTERNATIVE 1</strong></em><br>equating electric to magnetic force <em>qE</em>=<em>qvB</em></p>
<p>substituting \(E = \frac{V}{L}\)</p>
<p>«to get given result»</p>
<p><em><strong>ALTERNATIVE 2</strong></em><br>\(V = \frac{{{\rm{work done}}}}{Q}\) <em><strong>AND</strong></em> work done = force × distance <br>work done = <em>qv</em>=<em>Bqv×L</em> <br>«to get given result»</p>
<p>(ii)<br>some mark indicating lower surface of conductor<br><em><strong>OR</strong></em><br>indication that <strong>positive</strong> charge accumulates at top of conductor </p>
<p><em>Do not allow negative or positive at top <strong>and</strong> bottom.</em></p>
<div class="question_part_label">b.</div>
</div>
<h2 style="margin-top: 1em">Examiners report</h2>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">a.</div>
</div>
<div class="question" style="padding-left: 20px;">
[N/A]
<div class="question_part_label">b.</div>
</div>
<br><hr><br><div class="specification">
<p>An uncharged capacitor in a vacuum is connected to a cell of emf 12V and negligible internal resistance. A resistor of resistance <em>R</em> is also connected.</p>
<p><img style="display: block; margin-left: auto; margin-right: auto;" 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" alt></p>
<p></p>
<p>At <em>t</em>=0 the switch is placed at position A. The graph shows the variation with time <em>t</em> of the voltage <em>V</em> across the capacitor. The capacitor has capacitance 4.5μF in a vacuum.</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<div class="question" style="padding-left: 20px; padding-right: 20px;">
<p>On the axes, draw a graph to show the variation with time of the voltage across the resistor.</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>(i) The time constant of this circuit is 22s. State what is meant by the time constant.</p>
<p>(ii) Calculate the resistance <em>R</em>.</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>A dielectric material is now inserted between the plates of the fully charged capacitor. State the effect, if any, on</p>
<p>(i) the potential difference across the capacitor.</p>
<p>(ii) the charge on one of the capacitor plates.</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>(i) The permittivity of the dielectric material in (c) is twice that of a vacuum. Calculate the energy stored in the capacitor when it is fully charged.</p>
<p>(ii) The switch in the circuit is now moved to position B and the fully charged capacitor discharges. Describe what happens to the energy in (d)(i).</p>
<div class="marks">[3]</div>
<div class="question_part_label">d.</div>
</div>
<h2 style="margin-top: 1em">Markscheme</h2>
<div class="question" style="padding-left: 20px;">
<p><img 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" alt></p>
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<p>general shape starting at 12 V<br>crosses at 6 V</p>
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<p><em>Line must not touch time axis for MP2.</em></p>
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<p><em>Allow tolerance of one square in 12 V (start) and 6 V (crossing).</em></p>
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<div class="question_part_label">a.</div>
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<div class="question" style="padding-left: 20px;">
<p>(i)<br>the time for the voltage/charge/current «in circuit» to drop to \(\frac{1}{e}\) <em><strong>or</strong></em> 37% of its initial value</p>
<p>«as the capacitor discharges»</p>
<p><em><strong>OR</strong></em></p>
<p>time for voltage/charge/current «in circuit» to increase to \(\left( {1 - \frac{1}{e}} \right)\) <em><strong>or</strong></em> 63% of its final value</p>
<p>«as the capacitor charges» </p>
<p>(ii)<br>\(R = \ll \frac{{22}}{{4.5 \times {{10}^{ - 6}}}} = \gg 4.9 \times {10^6}\Omega \)</p>
<div class="question_part_label">b.</div>
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<p>(i)<br>no change<br><em><strong>OR</strong></em><br>«remains at» 12 V</p>
<p>(ii)<br>increases<br><em><strong>OR</strong></em><br>doubles</p>
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<p><em>Allow “doubles” in the light of (d).</em></p>
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<p>(i)<br> recognises that new capacitance is 9.0 μF <br>\(E = \ll \frac{1}{2}C{V^2} = \frac{1}{2} \times 9.0 \times {10^{ - 6}} \times {12^2} \gg = 0.65{\rm{mJ}}\) or 6.5×10<sup>–4</sup>J </p>
<p><em>Allow 11.8 V (value on graph </em><em>at t=100s).</em></p>
<p>(ii)<br>energy goes into the resistor/surroundings<br><em><strong>OR</strong></em><br>«energy transferred» into thermal/internal energy form </p>
<p><em>Do not accept “dissipated” without location or form.</em><br><em>Do not allow “heat”.</em></p>
<div class="question_part_label">d.</div>
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[N/A]
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[N/A]
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[N/A]
<div class="question_part_label">c.</div>
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[N/A]
<div class="question_part_label">d.</div>
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