File "HL-paper1.html"

Path: /IB QUESTIONBANKS/5 Fifth Edition - PAPER/HTML/Physics/Topic 11 HTML/HL-paper1html
File size: 1.02 MB
MIME-type: text/html
Charset: utf-8

 
Open Back
<!DOCTYPE html>
<html>


<meta http-equiv="content-type" content="text/html;charset=utf-8">
<head>
<meta charset="utf-8">
<title>IB Questionbank</title>
<link rel="stylesheet" media="all" href="css/application-02ef852527079acf252dc4c9b2922c93db8fde2b6bff7c3c7f657634ae024ff1.css">
<link rel="stylesheet" media="print" href="css/print-6da094505524acaa25ea39a4dd5d6130a436fc43336c0bb89199951b860e98e9.css">
<script src="js/application-9717ccaf4d6f9e8b66ebc0e8784b3061d3f70414d8c920e3eeab2c58fdb8b7c9.js"></script>
<script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_CHTML-full"></script>
<!--[if lt IE 9]>
<script src='https://cdnjs.cloudflare.com/ajax/libs/html5shiv/3.7.3/html5shiv.min.js'></script>
<![endif]-->
<meta name="csrf-param" content="authenticity_token">
<meta name="csrf-token" content="iHF+M3VlRFlNEehLVICYgYgqiF8jIFlzjGNjIwqOK9cFH3ZNdavBJrv/YQpz8vcspoICfQcFHW8kSsHnJsBwfg==">
<link href="favicon.ico" rel="shortcut icon">

</head>
<body class="teacher questions-show">
<div class="navbar navbar-fixed-top">
<div class="navbar-inner">
<div class="container">
<div class="brand">
<div class="inner"><a href="http://ibo.org/">ibo.org</a></div>
</div>
<ul class="nav">
<li>
<a href="../../../../../../../index.html">Home</a>
</li>
<!-- - if current_user.is_language_services? && !current_user.is_publishing? -->
<!-- %li= link_to "Language services", tolk_path -->
</ul>
<ul class="nav pull-right">
<li class="dropdown">
<a class="dropdown-toggle" data-toggle="dropdown" href="#">
Help
<b class="caret"></b>
</a>
<ul class="dropdown-menu">
<li><a href="https://questionbank.ibo.org/video_tour?locale=en">Video tour</a></li>
<li><a href="https://questionbank.ibo.org/instructions?locale=en">Detailed instructions</a></li>
<li><a target="_blank" href="https://ibanswers.ibo.org/">IB Answers</a></li>
</ul>
</li>
<li>
<a href="https://06082010.xyz">IB Documents (2) Team</a>
</li></ul>
</div>
</div>
</div>

<div class="page-content container">
<div class="row">
<div class="span24">

<div class="pull-right screen_only"><a class="btn btn-small btn-info" href="https://questionbank.ibo.org/updates?locale=en">Updates to Questionbank</a></div>
<p class="muted language_chooser">
User interface language:
<a href="https://questionbank.ibo.org/en/users/set_user_locale?new_locale=en">English</a>
|
<a href="https://questionbank.ibo.org/en/users/set_user_locale?new_locale=es">Español</a>
</p>
</div>
</div>

<div class="page-header">
<div class="row">
<div class="span16">
<p class="back-to-list">
</p>
</div>
<div class="span8" style="margin: 0 0 -19px 0;">
<img style="width: 100%;" class="qb_logo" src="https://mirror.ibdocs.top/qb.png" alt="Ib qb 46 logo">
</div>
</div>
</div>
<h2>HL Paper 1</h2><div class="question">
<p>A capacitor of capacitance <em>C</em> discharges through a resistor of resistance <em>R</em>. The graph shows the variation with time <em>t</em> of the voltage <em>V</em> across the capacitor.</p>
<p><img src="data:image/png;base64,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"></p>
<p>The capacitor is changed to one of value 2<em>C</em> and the resistor is changed to one of value 2<em>R</em>. Which graph shows the variation with <em>t</em> of <em>V</em> when the new combination is discharged?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>The root mean square (rms) current in the primary coil of an ideal transformer is 2.0 A. The rms voltage in the secondary coil is 50 V. The average power transferred from the secondary coil is 20 W.</p>
<p>What is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msub><mi>N</mi><mi>p</mi></msub><msub><mi>N</mi><mi>s</mi></msub></mfrac></math> and what is the average power transferred from the primary coil?</p>
<p><br><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>A fully charged capacitor is connected to a resistor. When the switch is closed the capacitor will discharge through the resistor.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Which graphs correctly show how the charge on the capacitor and the current in the circuit vary with time during the discharging of the capacitor?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>The graph below shows the variation with time of the magnetic flux through a coil.</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
<p style="text-align:left;">Which of the following gives three times for which the magnitude of the induced emf is a maximum?</p>
<p style="text-align:left;">A. 0, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{T}{4}">
  <mfrac>
    <mi>T</mi>
    <mn>4</mn>
  </mfrac>
</math></span>, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{T}{2}">
  <mfrac>
    <mi>T</mi>
    <mn>2</mn>
  </mfrac>
</math></span></p>
<p style="text-align:left;">B. 0, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{T}{2}">
  <mfrac>
    <mi>T</mi>
    <mn>2</mn>
  </mfrac>
</math></span>, <em>T</em></p>
<p style="text-align:left;">C. 0, <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{T}{4}">
  <mfrac>
    <mi>T</mi>
    <mn>4</mn>
  </mfrac>
</math></span>, <em>T</em></p>
<p style="text-align:left;">D. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{T}{4}">
  <mfrac>
    <mi>T</mi>
    <mn>4</mn>
  </mfrac>
</math></span>,&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{T}{2}">
  <mfrac>
    <mi>T</mi>
    <mn>2</mn>
  </mfrac>
</math></span>,&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{3T}{4}">
  <mfrac>
    <mrow>
      <mn>3</mn>
      <mi>T</mi>
    </mrow>
    <mn>4</mn>
  </mfrac>
</math></span></p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">Three identical capacitors are connected in series. The total capacitance of the arrangement is <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{9}">
  <mfrac>
    <mn>1</mn>
    <mn>9</mn>
  </mfrac>
</math></span>mF. </span><span style="background-color:#ffffff;">The three capacitors are then connected in parallel. What is the capacitance of the parallel arrangement?</span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">A. <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{1}{3}">
  <mfrac>
    <mn>1</mn>
    <mn>3</mn>
  </mfrac>
</math></span>mF&nbsp;&nbsp;&nbsp; <br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">B. 1 mF<br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">C. 3 mF<br></span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">D. 81 mF</span></span></p>
</div>
<br><hr><br><div class="question">
<p>Why are high voltages and low currents used when electricity is transmitted over long distances?</p>
<p>A.  Cables can be closer to the ground.</p>
<p>B.  Electrons have a greater drift speed.</p>
<p>C.  Energy losses are reduced.</p>
<p>D.  Resistance of the power lines is reduced.</p>
</div>
<br><hr><br><div class="question">
<p>The diagram shows a bar magnet near an aluminium ring.</p>
<p><img src="data:image/png;base64,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"></p>
<p>The ring is supported so that it is free to move. The ring is initially at rest. In experiment 1 the magnet is moved towards the ring. In experiment 2 the magnet is moved away from the ring. For each experiment what is the initial direction of motion of the ring?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>The current <em>I </em>flowing in loop A in a clockwise direction is increasing so as to induce a current both in loops B and C. All three loops are on the same plane.</p>
<p>                                           <img src="images/Schermafbeelding_2018-08-13_om_19.06.33.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/33_01"></p>
<p>What is the direction of the induced currents in loop B and loop C?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_19.06.57.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/33_02"></p>
</div>
<br><hr><br><div class="question">
<p>Two identical circular coils are placed one below the other so that their planes are both horizontal. The top coil is connected to a cell and a switch.</p>
<p>                                                       <img src="images/Schermafbeelding_2018-08-13_om_11.06.13.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/33_01"></p>
<p>The switch is closed and then opened. What is the force between the coils when the switch is closing and when the switch is opening?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_11.06.53.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/33_02"></p>
</div>
<br><hr><br><div class="question">
<p>A conducting ring encloses an area of 2.0 cm<sup>2</sup> and is perpendicular to a magnetic field of strength 5.0 mT. The direction of the magnetic field is reversed in a time 4.0 s. What is the average emf induced in the ring?</p>
<p>A. 0</p>
<p>B. 0.25 μV</p>
<p>C. 0.40 μV</p>
<p>D. 0.50 μV</p>
</div>
<br><hr><br><div class="question">
<p>The graph shows the variation of magnetic flux <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Φ</mi></math> in a coil with time <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math>.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>What represents the variation with time of the induced emf <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ε</mi></math> across the coil?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>A conducting square coil is placed in a region where there is a uniform magnetic field. The magnetic field is directed into the page. There is a clockwise current in the coil.</p>
<p>What is a correct force that acts on a side of the coil?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>The secondary coil of an alternating current (ac) transformer is connected to two diodes as shown.</p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQcAAAClCAYAAABRCDj2AAAgAElEQVR4Ae2decwURfPH21/eeB94RYOK8nqfIN4IUaJBMBKISBSDipFLFAwaPPBADhWQIwFFeBQPYsA/UBAvNBpB0CiKKCqCUVAxRqN4RTH4z/7yad96mJ2nZ3d2t3efOaqSzez29vTx7Z6a6qqu6p0KhULBKCkCioAiEELg/0K/9acioAgoAhYBZQ46ERQBRcCJgDIHJyyamGUEvvjiC3PrrbeaX375xVs3d9ppJ29lJaUgZQ5JGQltR0MRWL58uenRo4f56KOPGlpvmipT5pCm0dK2ekPg/PPPN01NTWbIkCHmoYceMn///be3srNSkDKHrIyk9qNiBDp27GhWrFhh/vjjD9O/f3/DckNpBwLKHHZgod9yiMBuu+1mxowZY4YPH24GDBhgnnvuuRyi4O6yMgc3LpqaMwS6d+9uGcMrr7xiBg8e7FVZmVYolTmkdeS03d4ROPTQQ82jjz5qevbsaZWVr732mvc60lSgMoc0jZa2tSEIXHrppebpp582s2fPNvfff39ulZXKHBoy3bSStCFwzDHHmIULF9pmn3feebk0eSpzSNus1fY2DAFRVorJc/78+bmSIpQ5NGyqaUVpRQCT57Jly8ynn35qRo4cab777ru0dqWiditzqAguzZxXBPbbbz8zZcoU069fP3PYYYflwuSpzCGvs137XRUCmDy3bNliMHn69s+oqkF1vEmZQx3B1aKziQAmz5kzZ5qTTjrJmjzffvvtTHb0P3F7lUWvs7h995EvKzF1sjIPRo8eXdOwoqy8+uqrzSmnnGJOPfVUW1aasXHNz4okBwrQT+UY1DQLE3hz2ufAxo0bvaCKYvLhhx82wmjSiksUGBUxh6hCNF0RyBsC+GCgmERBiaIyixR7WZHFzmufFIFKESBAzKRJk8yvv/5qFZPoH7JKKjlkdWS1X94RQPFIgBgUkSgks8wYAE8lB+9TSAvMGgIEgpkxY4ZZsmSJ9blga3UeSCWHPIyy9rFqBAgAQyAYiMAweWEM9Fclh6qnjd6YdQTwpSCE3MSJEw2bn/JGyhzyNuI19DcvYdQwUY4bN84ihU8FW6fzSLqsyOOoV9Bn1tu8Qc8880zz4IMPVnBnOrMS4IV4DgR8IfBLXhkDo6eSQzrncENaDWPAC7F9+/bWK5EHhQcmi0Rfx44da4PMsoch65aIOGOokkMclHKaZ968eZYxEIA1y29Qzq4goEu7du1sgBdlDP9OeJUccvrgl+s2b9IRI0aYbdu2lcua2v/pIwyQZRMBXYjboLQDAWUOO7DQbwEEcEseNWqUwcEoiyQmSkyTmCiz2s9axk6ZQy3oZfjeH374wfz444+Z7eH333+fWxNl3EFV5hAXqZzlO/jgg83uu+9e1GtMfMFlxgEHHJBKXQTt9q10xCMza7RTIWav8FWPmTVrGNXcn7Rih/mSEO3ETmRdDgV3CHIYLWdOYtFQJV7N06TVCoian8oc6jwkKL14A6eRsT7zzDPm3nvvNRdffLEZNmxYEWMQ2PA5WLdunXniiSckSa8pQyCKOagpsw4DCUNAbO3Tp08L0bwO1dWtyJ9//tmcfPLJZtWqVVZ6wF05SCwz1q9fb+MaBNP1ezYQUMnB8zjCGBCz9913X3PllVem1jwmEs/WrVsNTGLRokXWK/H9999vRqx37942VBq7CVXb3wxL6r5ESQ7KHDwPJRGJ2Uxz4403ei55R3GuwYybtqOU0t8w9T322GPOKEdIDKpjKI1fmv51zR3ar8sKj6PIQ8NDVU/G4LG5JYvClLl582ZnHmUMTlgyl6imTI9Dunr1auu047HIVisKU2abNm2K6kfnwBJDiBiKupwQNLJ3VebgcUx9RTX22KSqi8Jk+fHHH9uj37755hvrkcnGIUyXQnhpEnn59ttvT+V+B+mHXt0IqM7BjUtVqVgo/vzzT6ukCxYgm4eCewSC/1f63bVGjJtWSV2YMh944AHTqVMnc9NNN7VQrqK0HD58uNl5553N3LlzKyla8yYIAdfcoXmqc/A4SP/973+bz1AkGOngwYMNwKOD4C3Ld8ybMJE00D///GP23HNPu5T466+/WpwwDXOAYA5K2UNAJQfPY3rttddaUfyII44wAwcOtG/d4Loc9+BBgwaZm2++2Zo6q6nexenjpsWtL2jK/Pbbb83LL79s7rzzToP5EgmI3ZEQpz5dd911qnuIC2wC87nmDs1UnYPnwdp1112txaJbt27m+OOPb/HQsK9///33N7///rvnmv0Wh1cmTIw4DnxwZyaugyyRVM/gF+8klqbMweOo8OCsWbPGrF271ixYsMCecdC2bdvmbccchMLegVmzZlmpwmPV3ouCeaGIDJOaMcOIZPe3Lis8jq1LIRkOyurD/OcSA+Omxe0u7UZPEgwLx1IDiULIl4JVytNr6yDgmju0RBWSHscDfQKKuyDxAAU/Qf1DMF/SvsPEkHLY2yDKVRzIYBiki4KV0O2imExaH7Q9tSGgkkNt+BXdLVYIohfXk1ycPm5aJe3CTXvOnDlWR4KO4dxzzy26HcZxyy23WIsGSyWldCLgmjv0RCUHj+OJKVPiHvC2vf/++635EvDlg3mT/9JAmDFpdxSJFITJUyl7CKjk4HlMe/XqZS0UPDDsHsRiIZGbEb9XrlxpLrroIrN48WK756Ga6l2cPm5aJfUR7IVDXT7//HPz5JNP2uUEfYJEuXrfffdlOtZkJXilNa9r7tAXtVZ4HtETTjjBWio4AyHIGKiGN23Xrl3t2YubNm3yXLPf4lBIdujQwTI2lhN8OFk6qJAMKiv91q6lJQEBZQ4eRwFT5ptvvmneffddKxmwn4G9Ajxke++9tw2YgiKPt+/111/vsWb/RblMmTA3tVD4xzqpJeqywuPIhE2ZYvr7+uuvrc/FSSedZHwEZXWJgXHT4nbXZcrkXvHM9GGSjdsWzVdfBFxzhxqVOXjEfdq0abY0NPj1JNdgxk2L2y4YG6bLYCQotk+fccYZ1jNTt0/HRTL5+Vxzh1brssLj2B1yyCEeS2vdolhCPPXUU+byyy+3W70JJEtYerFQ0DoxZeKqrqbM1h2vetRe0pTJ4GOaI/QZEYjZ8BLe8VePRqW1zOOOO8688cYbtvngBF54YcKZ5YN5k81SaSC8LVFAnnjiiebAAw8sYgy0XxiFmjLTMJqVtzFyWYEtvkuXLvaN0L17d1syijYmPC7IeOMptUQAU+bRRx9tsEYQ6wDrhfgjwGw/+OADa8pELOfw1mrIJQbGTaukPkyZ6FGIcMVLIirYi55bUQmqycvrmju2lRxqE6aNGzcWzjjjjMKWLVvCf9k0/lu1alWL/zShUJgwYULhwAMPLCxcuLCwbdu2FpCQ1qtXr8K0adNa/Bc3wRiOwSimuGnFd0X/Yg4MGjSoKMPWrVsLpMuH30rpR8A1d+iVU+dAGHK2y8obL8jrSOMUJJYa4e20wXx5/I4pc+nSpeadd96xpzb379/fmi3PPvtsC8eGDRtseHdCrSXdlEmA2d9++61oGMV9uyhRf2QWAeeyAjEDLbXs7HP1XnbPlcrjui/LaYjgiN4SfZplBIFSZMPTQQcdZA4//HAn060EF5cYGDctbj3oTKJC08ctQ/OlAwHX3KHlkQrJcg89G3uCkYjTAUN9W0ko9+3btzdXAoYEScERiw+Slksaa74hQV/Yx8CGLRicKFd5ITCR5CMh7+rhlYnSlnqoM6p8mDF5UPKmhV577TXbZnxsXCR9QrfX6uRaMfXu3dupb5C8rJtZp7jW1JInj1f0DHzqTa41Yty0Sto2a9aswmWXXWb1T88++2whrGNAJ4Ve4u67766k2Nh577vvPjvPuIaJuukz+q9wu8J5k/Z79OjRtu1PPfVUUdPQ5dAnnr9GPluuuUPDWmq2CoUCE8E1INIT/qeDSsUIoKQVJR6Tl8HnN+DLoIMrk6AWcg1m3LRK6l26dGnh2GOPLYwYMSLyZTF9+vRCv379Kik2dl4eEB5++rZ27dqi+wTXcHpRpoT+gJlJv2QuBPvqMgTUsyuuuUN9TuZAQwGfN0eYg7366qu2Y43uQD3B8VW2DPBdd91lMYI5yOBTB5jBWBmMd999t+pqXYMZN62SSpnAH3/8sW0z33mj8VKgX1wlrZ5zgYefvlGXzEXBsNQLrJJ+tkZe6ZdICSJN8Hw1mlxzhzY4mQN/MBAyARgEGAUd4VPPydBoYHzXN3nyZDuZeeu6CFwxZdYysV2DGTfN1SZXGkxNpCD5nzQmNQ8n3xs1D8CK/jEHeevyPcgspH1pu0q/RAqqZU7U0nfX3KE8p7UiqAjBPEegUcKfBTf0BPPo938RQHnXo0cP67Ld1NRkw7ejtGPnJMSBNyic2G2I+7PsMKwUP5RwMPYgxU0L3lPq+1tvvWUmTpxoUKC1NqGQZMMYJ3wTGv/55583bNlOu4co/cLcTX/o18KFC6ueE7WMkWvuUJ5zn0OwIrTradGwB9vdGt/Z/cjO0aOOOsqeTg1jXb9+vWUKtIfISlOmTEnFpOaszLCvCJM5GM+hUQ8nTBRme+qpp9oHCZ+PRtVd73mE6RviCr7VvjDq0s5axBG9txiBqVOnFpqamooT6/DLJQbGTYvbHNGfIMaLopU6WGryCYrCoguIW3a1+aTORtVXbTvj3id6BpbqYBtexsUtp9Z8rrlDmZE6h1orzOP9KOqyZMpEt9C5c+fCJZdc4twuz0M6cODAwpAhQxoy3PIwNaSyOleC4jHIEITxgXmjKYo5lF1WsI5G1EmUuFMXGar2Qo888kgr9l5xxRV289CLL75ooz+xiUicltq1a2dwZEuLWBzWbQRRQgyG9KzMICrlv7PcJI4osTEmT55sbyCsIKea9+3bNzn6lHJcCk6GZrg1TCzl2pa0/0UUx2IBZmjX0e6j1Uc8R8OPdAGnTropk77QzvCygjdccFnhMnfXa1yyIDmAqywjws6LIk3wP/kaRVGSQ6xlBZOaBjM4jWx0o8DxWY94ZS5atCiy2FGjRhXuueeeyP/L/eEazLhp5cqW/xnz8BqYsSddPpK3UdcsMAcxX8JUXST/N9Ks6Zo7tK2sKVOEJETIefPmWdGnFjOclJfFK0swgsoS/4CQ7RA+FVgphF555RXz008/mccff7ykY5vkd11dpqe4aa7yXGmYDQkLlwRTprQPcZxoVGlZkkm75Rq09kTF4AzmaVQ/XXOHNsdmDtJBnFwwbWqwF0Fkx5UHCf2CeGUymWEUQeLgG5yxaiHXYMZNi1sv/cDxSsPPx0Usvflcc4feVMwc5O0YjieYXmj8tRxPul122cVEedz5qsk1mHHT4raBN5gEmC3noRu3TM2XTARcc4eWRrpsR3WDicJZDMHNMFF585YOY9hrr70y0W2sU2w2uu222yJdpjPRUe1EJAJlTZmuO1kz81ZRKkaA7eUrVqywiUhY7JjkE4yoxNkVl1xySdX6huIa6/urX79+9vg+YkTecMMNNS+Ham1t2nUOUf1nCdco/UJUG5zpLo1pqTTMcpjplFoigDZfTJhyxVwl2n3MmqKNJq1acmmX46ZVUycmNqxV9MlVTzVlVnIP9VM3H9ksBI6YWdNKjL9YX8S0ye9GObMFcYsa01imzGBBdKA1dnEF25Dk70xaAswuW7YsspnEP0i6KdPVeB7GqInkyu8jDZMfDCHITGHC7BeBWaSRQfDCAEeYnmwN4MpzRTovkUZS1JhWxBzoVKM3aDQSpFrrkocHxgBOTGoGXKQHvsNcmdS1vCFcgxk3rZY+0mbqkQldS1lx7uUhAauo+iSuRJyykpKHvtCnKAbAXCnVZ9/9kDF1MdnYzIFCaHSQg/tuaNrL400Q3NzCBBCGIBIXgx812eP2Py4jcOWLW0c4n+zspMzTTjutIW9spDDwiiJ50FwTO+qe1k5njjAXShH/l+p3qXsr+Y86GE/5hBlWLObAIPAmZKIrRSOAR2ZWvDLDvZQJ1Mhrnz59yr6MeJDS9MLiGSr3HPE/fW8k1iyFhw0bVjTssUyZaKsvvPBCu9vPqdXUxFwhQLAaApP8z6u3bldODssrXXXVVXXDVcZt2LBhNvAQGLNFgRgeQSrLHCRE9nXXXRe8T787EMCUiZkXYhMRRwqCHwcA8WF3KbsoMXOmjV599dXmJp911lnWs7Q5oU5f8GD99NNPI0sHY3ZxHnDAAZF5kvYHZ5dwrGQpYos9+epNQ4cObZ6vbPFv8YwXyRGhH+UUQqHsuf8pa+DFixdb/QwiL2tMxF4+rPFYR6O7SaNCUhSutepM4k4UMCuFFVgGdTxxy23NfDJHonQKpDdS6V9qTCN1DtKJNK3nWnPQpe5HHnmksMcee5R0cU+rKZO5wDq4kcTDAoMImv14acF4sQY1ilH57LMo99EtiDKVK79LMUOfbQiWFTWmkSMdR6sarEC/F+xAM7hByYEB56HiI5jWOgFcgxk3rdJx4uGTScsbzVVPpWVWmh/skBKom48ox9PIGKTvMIhgn+gXUpAwC8nXiGvUmEY6XrFGvvLKK1t9y2y9110+y0efwHbpMWPGWJ3Dhx9+aNauXWvPy6SeNm3amNNPP9107dq1pshaLkeZuGmV9Jc1Pcrofffd11410HAl6KUnr2vu0PqSvhXqP1HZABPCH00+hOMSZ2Om+SRy4ne0b9/eMrvKkNDcWUAgkjnwlkPznkiHkCwgn/A+IDWMGDHCnrae8KZq8+qEQCRzuPjii829995rOnXqVJMIXKd2J7LYww8/3C4rpHGcFL1p06Zm0xUemQShTQOmuOSPHj06Fd6jgrde/SIQuc+BaEVsfGLNmUa7vF+Y4pWGPoHQauwJ4Oj4hx9+2N6I7oYYGNiSOd2I05twP04y/fDDD2bz5s1JbqK2rd4IlNOGivcbmnal8giggcaUuWLFisjMmDJrObbepV2OmxbZqNAfWAgwFQYJDbtYXri2hmY92B797gcB19yh5EhrRZApEYziscces9p2NPFKbgRYpyMVsC11zpw5hnMy+S1KSkLrvfzyy2bJkiXm6aefrlqf49Iux01zt9ydivTD2Z7EwZw/f37z2RuSm92JLD2QLtWSIaik7+qaO/QiFnNIX3dbp8VslyYSlJgyV65c2SIS1Nlnn23OP//8mtbyrsGMm1YJMs8884zVO51zzjnmjjvuaMHMYIbDhw+3RT7xxBOVFK15E4SAa+7QvEiFZILanpqmcGgu0aUhTJmcbMUnrfTPP/8YQqh/9tln1nIVDqcOc4CCoffT2ldtd0sElDm0xKTqlO3bt1d9b9Ju5MG/5pprrCnz559/NosWLTJdunSxR7gh+bCk4Dg3jiho4bCTtM5oe6pCQJcVVcHmvil8bgW6GrwK//zzT/PHH3+Ytm3bWskiLedWoGeaMmVKUWexXMEswlJEUSb9kSoEql5WBA9mQWQ+9thjdd9DxNBjyuSAVBR5uGdDcuIVvvIwCcybbC7DlTvJSrzff//dsE8jTPj96zkWYVSy+TtyWYFYycm/vP1kgjOxOQm4qalJfS4c84GHhmPwCD3PmQ89e/ZskQssb775Zovh+PHjW/yflIR99tnHsKkrSMyJ4Hkluns2iE4Gv7sspXi7YePGSyzs+SYxHrBzKxUjAFZ4XIIbtmOu4BXcGyCxGNetW1d8cwW/XHbpuGkVVGP7wl4G3KaZD9SBq7S4S/ObfR3hOVJJHZq39RFwzR1a5dQ5YNsmWk14vSm8kbX17Nmzrb1e0vRqbOQndkCCmxxq8/rrrxdB4+NQG9caMW5aUWPK/GAeTJ061R4OPGHChBbSIpIEpsydd97ZzJ07t0xp+ndSEXDNHdrqXFbAGNjyG0WY52AO6COSvG6Oan+90r/66ivrN0H5LDHSbspER8LEgf766y/rho6JVgjmAMEclLKHgJM5YKYaN25cyd6y3mTHn9IOBNDiZ+WsTB58MWV+/vnn5sknn7SmTHxEiO+ALgopadasWWrK3DEFMvXNyRzkoNxSCicmh1IxAiwZgrggWbExijewEHlK4Sr5WvuK4pF5gAQkcSkeffTR5v4R64Nt4ErZRcDpldmhQwcbJTmq2zwA33//fSomeVQf6pGOKRMfBPY2EEkLy0SQWcAkSMfnIumerpgyCV4TJhgbH11OhpHJ4G+XrhQNNVp3V4RcCY6pXpou5AqF8ePHW63+okWLnBnQ7Pfq1ctq+Z0ZYiS6tMtx02IUb7NgYQl7ZfKHWF6YB0rZQMA1d+iZ01oBD0Qk5s3HVtnevXubPfbYw6xbt85u3rnxxhvtttkM8sqausQ6HS9MFJFYdMAJRyvZTYgUgVTRt29faw3i/IdqyKVdjpsWtz76wtJh69atNgYm3qTEqmAuIDmI9Cjbp4OKyrh1aL5kIOCaO7QskjnwJxNEPAtRPt1www12g4/ukHMPKl6ZKO5Ym7NsePHFFy0zQMELsYZnyQbzqEXv4BrMuGnulrtTWSLher7//vub22+/vUUEK/p4yy23WMcrFJNK6UTANXfoiVMhKV0Mehby1njvvffkL706EECJd8EFF9h/YKC8VaGo/SKOIhKVhIkSEyZb5pEcw9KB/MZ7Uyl7CJRkDtnrbn17hJI2SzR9+nTz0ksvWcUk8UTpH8tMIQn2glShlD0ElDl4HNMjjjjCPkBSJGI3ewR+/PFHm0TcA87TTIOmH50CSyDaygdzJv1hL4cQe2FEepA0vWYHAacpMzvda2xPeKuyTv/yyy+tybJHjx42MpS0ggcOJe/gwYOtPkfSk3glwOxvv/1W1DSWSmLK5KqMoQiezP1QycHjkPLwsO28c+fOZubMmXaXafgBIjDK5Zdfbrefo8xLKuFizoE2LtJt8y5UspemkoPnMV2+fLkZMGCAYb3OUeo8SEKI5Vh/XnjhBXssnqQn8Yr5FZ0CbUbiIT4FcSrQbGOi5cpvJCWsWkrZQ0CZg8cxJTgKkaZhDESXRoEnDxIPE8sMztLk/Ez2QySZkHiISTF06FDL7I477jizbNkyDl6226a54rUJs8OSpZQ9BHRZ4XFMN2zY0GzKlLU5zCGthCnzk08+MZx+hk9IeH8LikoUrGyOU8oeAsocPI5pFk2ZS5cubfYVAarg5i2WUChhifWglD0ElDl4HNOwKZO1OBuj2DINEYOzXbt2Ld7AHpvgrSgxZYoEhJUF/UnQTZ/9DWFpwlsDtKBWR0B1Dh6HQBR0SBAEkMU3gQjO4rK9YMECq3fAMzPpSjxMmUFGAEwsI4RZcFXG4HHyJLAolRw8DgoPT7du3cxpp51mRW0erqApk7cvTKFWUybKwDDFTQvfF/UbU+ZBBx0U9bem5wABlRw8DzLBXbBK4HSFJh9ToBCMQUyZKPKSTJgyZ8yYYZkZfUASIg4FVhf5sJkLi0XSpaAk45zktilz8Dg6mDJ543JuJM5WmC1hFPIwscwg4OyqVaucYes9NqXmopB48LTEk5Q+cCAPDAIJRT546U6aNMlMmzat5vq0gOQhUNJlO9hcJrhLdA3myft3Dp7F/MfyIQvEZq0RI0ZYRsZ5HC4dw8SJE82aNWvM4sWLs9DlXPYh6tlWnYPH6bBp0yYbfNVjka1aFCZKTJn4iiA94IjFBymCPR2rV6+27UOiUMoeAsocPI4puwjFMuGx2FYpClMmTOCUU06xH6Qh0r7++mvbR3Z4Eq8CJaxSNhFQ5uBxXDFl8hD169evyErhsYqGFYUpM6hMpWIxYzasEVpRqyKgCkmP8PMWZcfgvHnzPJbaOkWhWGVTV5iQHvgEHcrCefR3NhBQhaTnccSsN3LkSHuS9ujRo1vEXfRcXd2Kox/BALMcosyGLqwXrkNtgvs56tYoLbguCEQpJJU51AXuf8/NJNgsDxSURksP7ticgYmVQgPM1mmiJKDYKOagy4o6DQ5h1YhCnUamIJAQ1k6Cx2qAWUElP1eVHBow1lGcuQFV11QFClZiOMhZmUhBLJWgX3/91UpF7H8YNWpU6hWwNQGV8puj5qcyhwYMbBT4Dai66ipQOhIJCulHCOtFMMCsHNYj/6flKv3A+qJk7A5el4SrpkydHU4EogLMunZJOgtIcCIMjrM4nn32WW+7WdP4Aig3RKpzKIdQTv8vFWA2C5BwrB8xPnEeU7Ose0SVObhxyX1qMMBsFsFgScGSqWfPnlZ64GxTpWIElDkU46G//oeABJjF6zLLxI5WggHPnj3bRthW9/Mdo63MYQcW+i2EANvAsUogeqOgzCohRSxcuNDsvffeNio4rvdKxihz0FkQiQDSg4jehLbDtIniLYtEX4kU3tTUZIYMGaLncRhlDlmc5977hOi9ZMkSG/XJe+EJK7Bjx452bwdBgfv3759rZaVKDgmbnEluTl7cszHXEslr+PDhBsUsofDySMoc8jjq2udYCHTv3t0eLYDJk2VV2IU9ViEpzqTMIcWDp02vPwJIS+hdOPGLaFhvv/12/StNSA3KHBIyENqMZCNA1CtMnviRcKhwHkyeyhySPSe1dQlCAJPnihUrbItQVmbZvEsnlTkkaPJpU5KPACbPMWPGWO/UAQMGWJNn8ltdXQuVOVSHm96VcwSI14E7O4cUsUksi1SRV2ZWN8BkcWDr2acszAPC3dVKmDwHDhxounTpYovKAi5BTGIzB5e/d7Ag/Z4PBLIwD9AVSPi+akcNhSTHBbI5bOPGjdYFPAvYBPHQZUUQDf2uCMRAAOaCQhJCQZnVoDGxJYcYmGkWRSDzCBB0lxO+kBrQO2SZlDlkeXS1b94QICDMuHHjbHkoIrMQEascOLqsKIeQ/p97BAgEg48FgWHYLZkHxsCgq+SQ+6mvAEQhgNJx7NixdrPTli1bcncuqEoOUTND03ONAAFfOCwYnwoCweTFIzU46Co5BNHQ77lHAGmBs05RPBL4hfgOeSVlDnkdee13CwQwUeKaLT4UbJXOMylzyPPoa9+bESCgC8F0J+TzbxQAAAB4SURBVE6caIjjoKQKSZ0DOUeAAC633XabRQEGkUfdQtQUUIVkFDKannkEMFESwKVr167WRKmMoXjIdVlRjIf+ygkCnAOKjoEALlnd/lzrUCpzqBVBvT+VCOjp4OWHLfYp2+WL0hyKgCKQJQRU55Cl0dS+KAIeEfh/jYCyTt6E1QYAAAAASUVORK5CYII=" alt></p>
<p>Which graph shows the variation with time of the potential difference <em>V</em><sub>XY</sub> between X and Y?</p>
<p><img src="data:image/png;base64,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" alt></p>
</div>
<br><hr><br><div class="question">
<p>A direct current (dc) of 5A dissipates a power <em>P</em> in a resistor. Which peak value of the alternating current (ac) will dissipate an average power <em>P</em> in the same resistor?</p>
<p>A. &nbsp;5A</p>
<p>B. &nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{2}{\text{A}}">
  <mfrac>
    <mn>5</mn>
    <mn>2</mn>
  </mfrac>
  <mrow>
    <mtext>A</mtext>
  </mrow>
</math></span></p>
<p>C. &nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{5}{{\sqrt 2 }}{\text{A}}">
  <mfrac>
    <mn>5</mn>
    <mrow>
      <msqrt>
        <mn>2</mn>
      </msqrt>
    </mrow>
  </mfrac>
  <mrow>
    <mtext>A</mtext>
  </mrow>
</math></span></p>
<p>D. &nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\text{5}}\sqrt 2 \,{\text{A}}">
  <mrow>
    <mtext>5</mtext>
  </mrow>
  <msqrt>
    <mn>2</mn>
  </msqrt>
  <mspace width="thinmathspace"></mspace>
  <mrow>
    <mtext>A</mtext>
  </mrow>
</math></span></p>
</div>
<br><hr><br><div class="question">
<p>A parallel-plate capacitor is connected to a cell of constant emf. The capacitor plates are then moved closer together without disconnecting the cell. What are the changes in the capacitance of the capacitor and the energy stored in the capacitor?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>The graph shows the variation with time <em>t </em>of the current <em>I </em>in the primary coil of an ideal transformer.</p>
<p>                                                           <img src="images/Schermafbeelding_2018-08-13_om_11.08.10.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/34_01"></p>
<p>The number of turns in the primary coil is 100 and the number of turns in the secondary coil is 200. Which graph shows the variation with time of the current in the secondary coil?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_11.08.54.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/34_02"></p>
</div>
<br><hr><br><div class="question">
<p>What are the units of magnetic flux and magnetic field strength?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>Six identical capacitors, each of value <em>C</em>, are connected as shown.</p>
<p><img src="data:image/png;base64,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"></p>
<p>What is the total capacitance?</p>
<p>A.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{C}{6}">
  <mfrac>
    <mi>C</mi>
    <mn>6</mn>
  </mfrac>
</math></span></p>
<p>B.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2C}}{3}">
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mi>C</mi>
    </mrow>
    <mn>3</mn>
  </mfrac>
</math></span></p>
<p>C.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{3C}}{3}">
  <mfrac>
    <mrow>
      <mn>3</mn>
      <mi>C</mi>
    </mrow>
    <mn>3</mn>
  </mfrac>
</math></span></p>
<p>D. 6<em>C</em></p>
</div>
<br><hr><br><div class="question">
<p>Two capacitors of 3 μF and 6 μF are connected in series and charged using a 9 V battery.</p>
<p>What charge is stored on each capacitor?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>A magnet connected to a spring oscillates above a solenoid with a 240 turn coil as shown.</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
<p>The graph below shows the variation with time <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math> of the emf across the solenoid with the period,&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi></math>, of the system shown.</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
<p>The spring is replaced with one that allows the magnet to oscillate with a higher frequency.&nbsp;Which graph shows the new variation with time <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math> of the current <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi></math> in the resistor for this&nbsp;new set-up?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>A capacitor of capacitance <em>X</em> is connected to a power supply of voltage <em>V</em>. At time <em>t</em> = 0, the&nbsp;capacitor is disconnected from the supply and discharged through a resistor of resistance <em>R</em>.&nbsp;What is the variation with time of the charge on the capacitor?</p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>A.&nbsp;&nbsp;</mtext><mfrac><mi>X</mi><mi>V</mi></mfrac><msup><mi>e</mi><mrow><mo>-</mo><mi>R</mi><mi>X</mi><mi>t</mi></mrow></msup></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>B.&nbsp;&nbsp;</mtext><mfrac><mi>X</mi><mi>V</mi></mfrac><msup><mi>e</mi><mrow><mo>-</mo><mfrac><mi>t</mi><mrow><mi>R</mi><mi>X</mi></mrow></mfrac></mrow></msup></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>C.&nbsp;&nbsp;</mtext><mi>X</mi><mi>V</mi><msup><mi>e</mi><mrow><mo>-</mo><mi>R</mi><mi>X</mi><mi>t</mi></mrow></msup></math></p>
<p><math xmlns="http://www.w3.org/1998/Math/MathML"><mtext>D.&nbsp;&nbsp;</mtext><mi>X</mi><mi>V</mi><msup><mi>e</mi><mrow><mo>-</mo><mfrac><mi>t</mi><mrow><mi>R</mi><mi>X</mi></mrow></mfrac></mrow></msup></math></p>
</div>
<br><hr><br><div class="question">
<p>A circuit consists of three identical capacitors of capacitance <em>C</em> and a battery of voltage <em>V</em>. Two capacitors are connected in parallel with a third in series. The capacitors are fully charged.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>What is the charge stored in capacitors X and Z?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>A rectangular coil rotates at a constant angular velocity. At the instant shown, the plane of the coil is at right angles to the line <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Z</mi><mi>Z</mi><mo mathvariant="italic">'</mo></math>. A uniform magnetic field acts in the direction <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Z</mi><mi>Z</mi><mo mathvariant="italic">'</mo></math>.</p>
<p><img style="display: block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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" width="511" height="230"></p>
<p>What rotation of the coil about a specified axis will produce the graph of electromotive force (emf) <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>E</mi></math> against time <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math>?</p>
<p>A.  Through <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi mathvariant="normal">π</mi><mn>2</mn></mfrac></math> about <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Z</mi><mi>Z</mi><mo mathvariant="italic">'</mo></math></p>
<p>B.  Through <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">π</mi></math> about <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Y</mi><mi>Y</mi><mo mathvariant="italic">'</mo></math></p>
<p>C.  Through <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi mathvariant="normal">π</mi><mn>2</mn></mfrac></math> about <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mi>X</mi><mo mathvariant="italic">'</mo></math></p>
<p>D.  Through <math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">π</mi></math> about <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi><mi>X</mi><mo mathvariant="italic">'</mo></math></p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color: #ffffff;">A coil is rotated in a uniform magnetic field. An alternating emf is induced in the coil. What is a possible phase relationship between the magnetic flux through the coil and the induced emf in the coil when the variations of both quantities are plotted with time?</span></p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>A ring of area <em>S</em> is in a uniform magnetic field <em>X</em>. Initially the magnetic field is perpendicular to the plane of the ring. The ring is rotated by 180° about the axis in time <em>T</em>.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>What is the average induced emf in the ring?</p>
<p> </p>
<p>A.   0</p>
<p>B.   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{XS}}{{2T}}">
  <mfrac>
    <mrow>
      <mi>X</mi>
      <mi>S</mi>
    </mrow>
    <mrow>
      <mn>2</mn>
      <mi>T</mi>
    </mrow>
  </mfrac>
</math></span></p>
<p>C.   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{XS}}{{T}}">
  <mfrac>
    <mrow>
      <mi>X</mi>
      <mi>S</mi>
    </mrow>
    <mrow>
      <mi>T</mi>
    </mrow>
  </mfrac>
</math></span><br><br>D.   <span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2XS}}{{T}}">
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mi>X</mi>
      <mi>S</mi>
    </mrow>
    <mrow>
      <mi>T</mi>
    </mrow>
  </mfrac>
</math></span></p>
</div>
<br><hr><br><div class="question">
<p>A small magnet is released from rest to drop through a stationary horizontal conducting ring.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>What is the variation with time of the emf induced in the ring?</p>
<p><br><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoQAAAGSCAYAAAB60NBUAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADdVSURBVHhe7d0LdJTVwe7xR+rRChQxCkQugSBpIHxCGiQqoVREhcUlXwqtUgULiLYUjAY55RLt8oiCaTlEUxCP+ikKKnoE56Cw5CYWCWrAGGqD4qCEABpRI9IA6uKLZ/bOOxjuucwkmez/b61Z+509kxiQ2XnefT3rhwABAADAWU28EgAAAI4iEAIAADiOQAgAAOA4AiEAAIDjCIQAAACOIxACAAA4jkAIAADgOAIhAACA4wiEAAAAjqtaICzfroWp8YqJ6avMN770KgEAkaNM+dkDA+14+xMfgzK18A1/4B0AXFWFQFiusoJVWlLQSgkJB7Ro7qvyl3svAQAiTJpy8opUXLyn4lG0RUsHlyjr5rGazQ0/4KwqBMJSbVn6orYljtQfr79UKlij3I+/9V4DAES0JtHqPWa0hjcr0rI1/9IBrxqAW84cCA/8S2uWFanZpf+hq355rRK1Rctyd4lOQgBoTJopLu5iNfeeAXDLGQJhuQ7kv65lBztp+LX/oZaXXKnhiVLBsrf0cRgTYWlpqX0AAMKsvESbFy7SipS79bffxFVxYvnJHT58WHv37vWeAYgkZ/jslyp/zes62OxqXZsUFXh3R6UMvyzsw8aZmZlKTOxhGxcAQCj5lJ7c6ccFJZ0u04g5q/SdDupA2RHvPTWzdOlSXXnl5YRCIAKdNhCWf7pRS5Z9ocSpN6lfC/PWn+qSFDNs/A9lLXw7LHNN1q5do23bCu21aVwAAKF03KKS4m1alzNOHVffr5vvXalPazj64/f7NWPGNHt9//332xJA5DhNIPxWH6/+v1p58KAK/jJAnby7yU4D7lZB4NWDy15X/oHQjhubYeKZM2cqJ+fv9rlpXEwjAwAIlxaKS0vXtNGddHDlWuXtq1kv4dy5czVr1oP22tzUm5t7AJHj1IGwfJdyl22REu/XuqLgnaR5FOtfz4xTs4Ova01+aOf5zZkzRykpfdWzZ0/73DQuppEBAIRTS3XtnehdV5/P59NXX32lESNG2Ofmpt7c3DMXHIgcpwyE5R+/pWUF52vwuKt1yTHvaqIWSVeHfIuCrVu3Kjd3o6ZMmeLVyDYuppExjQ0AIFz268PNBVKzKLVsepqBo5MwoS89fZKd+33eeefZOnNTb27uzU0+gMhwik/+t/o4d40Kmg3SyKvbn/imFv+ha4d30sFlL+v1T7/3KmvOLB5JT79d99xzj6Kiorxa2cbFNDKmseFOEwDC4XuVvPGoHlxUeb541ZnQN3Hi7UdHdoLMzb25yTc3+wAavpN/8sve16tLtqjZ8KuVdNLGIUqXjbheCQdf05Ord6r8SL6yE9srZrxPJd47quOjjz6yd5PXXHOtV/Mj08iYoeP8/He9mjAq2y5f5jBv9R3H9AFojI5bZRzTWckTdmrgU6/quTHx3i+F4DF3k+QrOfWcQnOjvmPHjsBNe7pX8yNzcz979oPatGmTVxNOB+T3/UWDvD9Tt8w32GAbqKazfgjwrhsU86E2cxbrTrkOvHGvLr/5dQ1/xqcHrrrIqwcAVFXdt90BB95Q5uWjtGz4Yr3zwFVq4VUDqLrqjQ00auU6tL9UB9VMF7X4qVcHAGjwDu3X5welcy9qoaZeFYDqidBA+L1K8p9V5qB4ezcaE5Os8dlr5C8LboOzW77xPRQzKFNPZt+ibsFhhPGParO/UOuO1sVrUKYv8HUHlJ89RMnpZvFKobLTutZ4+BsAcGrlJZu16OjUHNMu52idPzjAe0QlvkmB+mHKfPJvGt+t4j0x3W5Rzubt2r4u58e6QX+RL/B1R/LnKjF5klYHvro0O1WdzzDMDeDkIjAQlqss/1GNSXtYnw9+SnlFe1SUN1ttV01S6pTlx26quu0lvfj1jVpfVKxtvj/bjVdHDBir539yS6DuE+U9M1paNFV3vfSZEjNWKC8nLfBF3ZXh+1DFT6QpuuK7AABCoWyzHh4zSrM+H6KleZ+ouChPC9qu0djUe+Q7ZoHie1r04ncatT7wnm0vK6PjRs0ZMUBpz5+jPwTqivKe1hi9oPS7lmln4mQV5M3TdYGvispYrk+K5ykt+uyKbwOgyiIvEJb79dK987Ut8U+aOqmPogN/gibR/TVl2g3Syjmav6HSQpBmN2jalP6B9zRR88SBGpnYLFA3SKPGXBGoO0fRfQdrYNRBFWz8QPu8LwEAhMO38r/0kLK3XaapU8eod/Q5gca7ra6acpdGa6mmz99UaSFIJ42e9kddZd7T/FINHXmZrRs+6jf265pEX660gZ2kgi0qrOFG2gCOFXmBcN8H2lhwUFH9eyj26E/fRC26JilFRVrxXrGONg/ntlSL4J5aTZqqZetzpZQkda3mtgoAgNr6QoUb35eieqlHbKV52i0uUe+UKB1cka8dRxvvynO5z9bPWl4QKBPVu2vLiioAIRdxyaj83/ttb17FXBFvLol5eHNIAAANUPkh7d/3XaDxnqu0zpXa7pgrlb6afWaB+hZxgbDJz1qqdeDuMfG+dSo6epzej4+CjKTA/SQAoEEJjtKccByq9yiYrCQab6DeRN7Yaetu6psoFSx7Sx9XWkBS7l+o1Jh4pS7crsrrSgAADUErde97aaDxXqPcj7/16gLKt2tharxiUhfKT+MN1JvIC4RNYnXduEFqVvCIsuZtUkmgASkv2aR5WY+oIGGi7v1NXAT+oQCgsfupLrnutxrc7B/KylqozSXfm8Zbm+f9VVkFCcq4N01xNN5AvYnAj985apv2N6333aE2K8cquVN7dUoeq5Vt7pBv4R+V1JwWBQAaoiZt0/TI+pc1o80KjUjurJhOl2nEymjN8C3QHUksGAHqE0fXAQBChrYbiEx0pwEAADiOQAgAAOA4AiEAAIDjCIQAAACOIxACAAA4jkAIAADgOAIhAACA4wiEAAAAjiMQAgAAOI5ACAAA4DgCIQAAgOMIhAAAAI4jEKLGDh8+LL/fbx8AACByEQhRbSYILliwQPHxcRowoL99/OpX/bR27RrvHQAAIJIQCFEte/fu1aBBA7VkyfPKyZmndevW65VXViglpa/GjRtrgyIAAIgsZ/0Q4F03KDEx7VVcvMd7hobA9AyaMGg899zzateunb0OMmFw9uwHNH16piZMmODVAnAJbTcQmeghRJXNnDlTO3d+oiee+K8TwqBhQqAJgyYUbt261asFAAANHT2EqBIT8IYNG6JZsx7UqFGjvNoTBXsR27SJ1tNPP63zzjvPewVAY2WmksyfP99eL178jC3rw6hRN3tXJ5eQkKDmzZt7z37UvXt376rChRdeqKioKO8Z4AYCIark+uuv1+efl+i111adMeRt2rRJI0deb+cYpqWlebUAGqvjA6H57NeHzz77TLt37/aenSg3d6Md5aiuIUOG6YILLrDXHTp00MUXX2yvW7durVatWtnruLg4WwKRikCIM6pJwKtOgATQeERa221GNfbsOfbn3bWrSGVlB71nUl5ennd15lB5xRV91KVLF51//vmKj49X8+bN1LFjJ3od0eARCHFGNQl3wRC5ZMmL6tOnj1cLoLFzqe0O7sF66NChQEjcaa+D4fFUwdH0Nnbq1MmGxdjYWF100UUnnZMN1DUCIU7LNHhmn8GaDP+aIGm8+OKLtgTQ+NF2H8sMp5vAWFhYqLKyMm3btk07duzQ229v8t5Rwcx/NHMcO3furK5du9KbiDpHIMRpBbeSKSj4Z7UbKJ/Pp/T0SXavQubXAG6g7a46c8NthqdLSj63QbHyghwz9Ny/f3/17NmTgIg6QSDEKZm5NeY0kokTb9fUqVO92qorLS1VYmIP9iUEHELbXTvBkPjuu/lauXLF0WFnM9Q8YsRwJSX1IhwiLAiEOKXgPEBzEom5S62JrKws26ixuARwA213aJkh5/Xr1ys3N1crVrxi68zw8tChQ5mfjZBiY2qc0quvvqrY2M41DoPGL3/5S3uH+95773k1AICqMgtOzN6vZvqOmbpj9oI1cxDNzbqZp21u3IFQIBDipMxwr5nPcuutt3k1NWPuYE2ofPPNN70aAEBNmKFiEw7NQj2zg4MRDIbBFc9ATREIcVL5+e/a0kxqrq2RI3+n+fP/buckAgBqz9xsB4Oh2RbM7AaxePFi71Wg+giEOKmlS5fZVW6h2B8rOM+FYWMACC3Tvpo52mbx34wZ0+zQMlATBEKcwAwXm8nLqampXk3tmDmIJlwybAwAoWcW7JmdIMz8QrNNmNnVgREZVBeBECcI5XBxkAmXDBsDQPiY+YVmCNnc0C9cuNCrBaqGQIgThHK4OCgYLhk2BoDwMUPITz75lO0pZE4hqoNAiGMEh4tvvPFGryY0TLhk2BgAwu+aa661BwKYOYVbt271aoHTIxDiGMHh4n79+tkylBg2BoC6MWbMGHu6SXr67bS5qBICIY4RHC4Ox9FIDBsDQN0wC03uvvtuezAA8wlRFQRCHBUcLr7ttlu9mtBi2BgA6o5pc3Ny5tn5hGxcjTMhEOKo4HCxOTw9XBg2BoC6M3DgQHta1FNPPeXVACdHIMRRjz32uJ1zEo7h4qDgsHFu7kZbAgDCxwwdZ2RMtkeR0kuI0yEQwtq7d6/efnuTRowY7tWER3DY2MxVBACEX7CXcO3atV4NcCICIaz169fbMpzDxUFm2NjMVTRzFgEA4WV6Cc2Z8mYuIdN1cCoEQliPP/6YRo26OazDxUGDBw+25cqVK20JAAiv4FGkTNfBqRAIYTcuNVsTDB061KsJLxM6zVzF5cuXezUAgHBiug7OhEAIvfbaa3Z+yS9+8QuvJvxGjx5t5yyyi75xQP51jyr7ld0VT0t8Gh/TXonZ+TpSUQMAtRacrsOwcaiUq8y/RtnZr6nEPt8t3/geikmcq/wIbLwJhI4z8/jMNjBmfomZZ1JXTPg0IdSEUeeVvK6ssY+o8L+959FpeqJ4jwoyknS2VwUAtXX55ZfbksMBQmWv1mbdpezCb73nHZT2xD9VXDBZSRHYeBMIHbdhwwZbBueX1JXgJGcTRllcAgDhFxcXZ0tGZnAyBEKHmWGD7Oy5djGJmV9S12644QZbvvDCC7Z00ZH8uUpMnqTVKtXq9Csrhhp2Vx4yPqIS3yTFxAxT5pN/0/hu7QPXgUe3W5Szebu2r8v5sW7QX+TzH/C+c0B5ifIXZWqQec37mux1fpV5LwNwj2nvg7tKoBaO5Cs78Uqlry6VVk9ScsxAZed/cOyQsZ3+E69BmfOUPT65oh2OSdb4nI3yb19TqS7Qvvu2/9g211PbTSB0mBk2MItJgsGsrpnFJaZxWrLkeWfntJydNFkFefN0naJ0Xc5bFUMN/8N78RjvadGL32nU+k9UvO1lZXTcqDkjBijt+XP0h0BdUd7TGqMXlH7XMvnLzfv3K//hCUqbVaLBS7eoqPgT5S2I1aqxN2mKr1j2LQCck5ycbOdvM4+wls5OUkbBW8q5Lkq6bp7yilcpI6m592JlB7Vt0Sp9PcoXaIf/JV9GO62eM1ID0pboJ39YrqKiPD0zRlqUfp9e8puh5/pruwmEDnvooYfsqrOePXt6NXVv7NixNpSuWrXKq8HJddLoaX/UVdHnSM0v1dCRl9m64aN+o96BuibRlyttYCepYIsK9x1Rud+ne7O3KXHqnzWpd3Tgg36Ooq/6o6aNPkcrpz+hDQeIhICLYmNjbblnzx5bIvyajb5LU65qG2iHWypx6H8q0dQNH60xpm1u0lZ90/orSu9rY+EX9dp2EwgdtWnTJnuXeOedd3o19cPMaTG9hGbomjvW02mmi1r81Ls+Wz9reUGgTFTvri0rqo5xRPsKt6ggEBj792hX6UPeUl17B5qig+/ovR2HvDoALunQoYMtCwsLbYnwO/eiFmrqXTf5WUu1DsS/lN6XqIVX96P6bbsJhA4ywSvYO9inTx+vtv7QSxhqR/Tv/V8HykJlp3X15qiYRyclp/sq3gLAScHDBz777DNboiGp37abQOggE7waQu9gUOVeQlYch0KwB/FXum/dDhUX7znucaq5LgBcYNrb3bu9fU/RgNRv200gdIwJXMGVxQ2hdzBo4sSJtpfw8ccf92pQc2erdffLlKgtWpa7q9Ik5G/lX3hT4G7zJi20k5cBuOj888/X4sXPeM/QcNRv200gdIwJXCZ4mQDWkJhtb2bNetDuS+j3+71al5Rqy84S7f/4Y5UEN6iuhSaXXK1xg89XQdZfNW9zSaBh+V4lmxcqK2uLEjLu1G/igvMRAbgmPj7eu0JIbPlEn+4vlr/ke6+i5uqz7SYQOsQsJDGBywSv+th38ExGjBhhTy8ZP/4WtxaYtL5Cf5gyUN9l/1o9hj6tD8tCkQhjlPbIcvlmRGvliMvUKaazkkesUJsZi7Xwjt5iwBhwV+vWrW3p5s13KLXRFX/4k677bq7SetyohR9+49XXQj223Wf9EOBdNyhmIqUZM0do7N27Vzfe+Du1aROtp59+uk6PqasOs4P+sGFDNHHi7Zo6dapXCyBS0HY3fCYIDhjQX+vWrT96eglAD6EDTG/b/fffb6+zs7MbbBg0zJ6IwaFjn48VsQAQak2bVmyCsmtXkS0Bg0DYyJkwOHnyZK1Y8Ypmz26YQ8XHGzVqlF30kp4+yQ5zAwBCJ/h7oKzsoC0Bg0DYiFUOg08++VSDWlV8Jvfcc4+GDBmmkSOvJxQCQBiwFyEqIxA2UmZ7mWAYzMmZp2uuudZ7JTKYYe25c+ceDYUMH4fGjBkz7N+lU4t2AJzAHEzAXoSRw7TbWVlZYW27CYSN0Nq1a/TrX6fZMLhkyYtKS0vzXokswVBoFpiY4WMTZti4unbMqTDPPfecfv/737PCEHBYly5dvCtEgn79+umbb77RoEED7e/4cCAQNiJmaPX666/XuHFjlZDQXW+99U5EDROfjAmFZrWxGfLOzd2oxMQeWrBggV01jeozKwrNKvPU1FS7ynDx4sX0FgKO2rFjh3eFhs4cOThr1iw7nWrmzJlh6SBpUNvOVO6xCC6Jx+mZA8q3b9+ulStX2A2nzTDAbbfdGnFDxFVh/vG/8MILmj37AfvcDCenpKSoc+fOatWqla1D1X3++ec2XJt/NwsWPGpXeAO1xbYzkcHcDM6YMY3/VxHI3MTn5OTY3TjMlLBQjQI2qEBoGhIA9YM9yRAKtONA3QpVKKSHMMK1b9++Qe8rWBfM8PGhQ4e8Z6gqMx/lySf/SwUFBbrvvvsaZa8y6h49hJHBLFIwc7MLCv5phyMROUwP4dKlS20Pr9m315zyFYocwEklgIOCvwwqFuykO39TgdCh7Y4MwVOhGBmILOb/W3r67XadwN133x3SvYVZVAI4xPTCT5gwwa40fuWVFXbBDmEQcE/wtBJEBjOH3mw7Y8JgRsZkO/871AdNEAgBh5htfMxCHLPSmEUkADi+LjKYBZVmms/LL/vCtpUcQ8YAgJCh7Y4c5v9VKFepIrLRQwgAAOA4AiEAAA4y+9bm5eV5z+A6AiEAAA7i+DpURiAEAMBB559/vj0SFDAIhAAAOCg+Pt4eXQkYBEIAABzUunVrW5rTngACIQAADmrVqpUtv/zyS1vCbQRCAAAcZM7CN3bu3GlLuI1ACACAg8yxlbGxnbV9+3avBi4jEAIA4KiUlL4qKuL4OhAIAQBwVnJyslaseEWHDx/2auAqAiEAAI7q3r27Lffs4fxp1xEIAQBwVHBhSWFhoS3hLgIhAACOMgtLhgwZplWrVnk1cBWBEAAAhw0cONDOIywtLfVq4CICIQAADuvdu7ctP/zwQ1vCTQRCAAAc1q5dO11xRR+9+uqrXg1cRCAEAMBxt912qxYvfoZhY4cRCAEAcFxSUi9brly50pZwD4EQAADHRUVFafr0TD3++GNsUu0oAiEAANANN9ygnTs/YQsaRxEIAQDA0V7C9PRJzCV0EIEQAABYppcwNraz5syZ49XAFQRCAABgmV7CjIzJdsXx2rVrvFq4gEAIAACOSktL06hRN2vmzJnau3evV4vGjkAIAACOMWXKFFveeOPvWHXsCAIhAAA4hhk6fu655+2q48mTJxMKHUAgBAAAJzBH2i1Z8qJWrHjFhkKGjxs3AiEAADipPn362FC4bVuhHT7eunWr9woaGwIhAAA4JRMKzfBxQkJ3DRs2RDNmzKC3sBEiEAIAgNMyw8cLFixQTs485eZu1JVXXq6srCz5/X7vHYh0Z/0Q4F03KDEx7VVcvMd7BgCIBLTdjZ9ZYGKOt8vOnmsXnQwZMkwjRgxXSkpfnXfeed67EGkIhACAkKHtdocJhqa38LHHHtfbb2+ydRMn3q5evZKUlNTLrlRG5CAQAgBChrbbTWZO4fr167V8+fKj4fCKK/ooNTVVl156qTp06EBAbOAIhACAkKHthgmHmzdvVl5enj0CL8gExP79+ysuros6duyk9u3bM8TcgBAIAQAhQ9uN45mFJ4WFhTYgmiFmM+8wyITELl26KDk5Wa1bt1arVq0IivWEQAgACBnabpxJaWmpdu/eHQiGO21I3LFjx9Fh5srMecrnn3++4uPj1bx5M9uraMTFxdkSoUUgBACEDG03asr0JB46dMgGxc8++8yGxuN7FCsL9i4aCQkJgdDY3F7HxsaqadOm9vrCCy9k7mIVEQgBACFD241wMPMSTVj84osvtG/fPltneheNr7/+2h6vVxWVQ2SQWfBy8cUXe8+OVTlc1pddu4pUVnbQe3YsE5x79uxpNw+vLQIhACBkaLtRn8xWOHv2/Pjv7/gwFex5rOxUQ9aRwhwtSCAEADQotN1obOr7NJa6GvYmEAIAQoa2G4hMnGUMAADgOAIhAACA4wiEAAAAjiMQAgAAOI5ACAAA4DgCIQAAgOMIhAAAAI4jEAIAADiOQAgAAOA4AiEAAIDjCIQAAACOIxACAAA4jkAIAADgOAIhAACA4wiEAAAAjiMQAgAAOI5ACAAA4DgCIQAAgOMIhAAAAI4jEAIAADiOQAgAAOA4AiEAAIDjCIQAAACOIxACAAA4jkAIAADgOAIhAACA4wiEAAAAjiMQAgAAOI5ACAAA4DgCIQAAgOMIhAAAAI4jEAIAADiOQAgAAOA4AiEAAIDjCIQAAACOO+uHAO8aAAAADqKHEAAAwHEEQgAAAMcRCAEAABxHIAQAAHAcgRAAAMBxBEIAAADHEQgBAAAcRyAEAABwHIEQAADAcQRCAAAAxxEIAQAAHEcgBAAAcByBEAAAwHEEQgAAAMcRCAEAABxHIAQAAHAcgRAAAMBxBEIAAADHEQgBAAAcRyAEAABwHIEQAADAcQRCAAAAxxEIAQAAHEcgBAAAcByBEAAAwHEEQgAAAMcRCAEAABxHIAQAAHAcgRAAAMBxBEIAAADHEQgBAAAcRyAEAABwHIEQAADAcQRCAAAAxxEIAQAAHEcgBAAAcByBEAAAwHEEQgAAAMcRCAEAABxHIAQAAHAcgRAAAMBxBEIAAADHEQgBAAAcRyAEAABwXBUC4QH53/i/yh6frJiY9hWPbrcoe9kG+cvKvfcAABquMuVnD/yxDa/8MO25L18lNOeA004fCMs/1Rt/uUkDJrwm/e5ZbSveo+LiT5T3TG8VZt6o1Duf1XZCIQBEiDTl5BUF2nHTlldqz6enqv+ffPqU5hxw1mkC4ff6dHmWJiw8WxnP/m9lDIhTc1t/jqJ736a5C8ZJq+/X/3zJL9oQAIhEFe35Q8/+WR1XztH8DV969QBcc+pAWL5Tq598TQcT/1NDE1t6lUFN1KLfn/Ts/Czd2uN8rw4AEHmaqHniQI1M/EKLFm9UiVcLwC2nDITlH7+lZQVS4vArdcnJ3tUkWknD0jQsKfp03YwAgIauyYXqdGkrKTdfHx5gzAdw0akD4b9LVaxz1bpl0zoPfFu3btXevXu9ZwCA8PqpWlzUTDpYqv2Hah4I165do9LSUu8ZgEjS4Dr3TGMybNgQZWRk6PDhw14tAKAhMzfy48aN1Zw5c7waAJHklIHw7LaddZm+0779h+p00UjlxmTp0qXeFQAgfL7VgS8PSlGdFXPR2V5d1Zmb9/T02+11bu5Gbdq0yV4DiByn7iFs3U19E6WCZW/p45MmwnKV+TfI90ro9q8yww2mMTEeeOABzZgxTX6/3z4HAIRJ+Vcqev8LNRuSpC7Vz4P25j0hobu9vueeezR9+jRGeIAIc+pA2CRW140bpGYF/0+vFuz3KoMCYXD7s7oz9VY9uuO/1TwEA8+m8Zg5c6ZtTIy4uDjNmvWg5s6da58DAMKhXAc2PKusglYafu1/qIVXW1Xmpt3cvN999932+TXXXKuUlL7KycmxzwFEhtNEuXPUNnWqFow5ouyb7lL2Or/KbP0B+dfN051p05WbcrcevrWXtz9h7ZjGwzQipjEJGjFihL766iv5fD6vBgAQOhXt+eQJL6jjmP+l2/td5NVXXWZmpr15b9eunVcjTZw4UfPn/50RHiCCnL5vr0lbXXXv4/L9tY++/NtQJdijjhI0YNJWdX/gOS1/6CbFB7sHj+QrOzHw+nhftfexMpORTeMxZcoUr6bCeeedZxub9PRJrFwDgFrzKT25U6Wj6wLt+d8+V9+/Pq+F9w5Q9NHfCMGj7ibJV3LEqztR8Gbd3LxXZsJhTs48234DiAxn/RDgXdcbMwG5WbNm6tmzp31uGipzrFKQaXR69+59zB1oWJRtl2/2FKUvei/wpJNGP+PTA1dV/44ZAFxg5n1365ZwtG0+vu1esGCBJkyY4D0LFzOffblm3z5Vi7YdlJqN0zPv3KurWoRgLhPgkAYRCI93fKNSN8p14I17dfnNr2s4QRAAqq1+2u4v9UZmmm5edjVBEKgFPjlHlevQ/lIdVDNd1OKnXh0AoGE7rP2fH5DObakWTfmVBtRUhH56vldJ/rPKHBRv70hjYpI1PnuN/GXe/jclPo2PidegzHnKHp/843tyNsq/fU2lumHK9G1XmZ0vM0TJ6WY+TKGy07rWaC4kAOA0ykuUvyhTg2z7G3h0u6XSgsWA6rbddu76lUpfXSqVzlVa5x4a79vtfTMA1RGBgbBcZfmPakzaw/p88FPKK9qjorzZartqklKnLNenR/dEPKhti1bp61E+FRX/S76Mdlo9Z6QGpC3RT/6wXEVFeXpmjLQo/T695D9bSRkrlJeTFvi67srwfajiJ9IUXfGNAAC1tl/5D09Q2qwSDV66JdAuf6K8BbFaNfYmTfEVB1r2oGq03TsTlFHwlnKui5KiJsv3yT/1RFoH7/sAqI7IC4Tlfr1073xtS/yTpk7qY1fFNYnurynTbpBWztH8DV96b5Sajb5LU65qG/hDtlTi0P9UoqkbPlpjekerSZO26pvWX1F6XxsLv6j4AgBAWJT7fbo3e5sSp/5Zk0wbrHMUfdUfNW30OVo5/QltOPBjJKTtBupe5AXCfR9oY8FBRfXvodijP30TteiapBQVacV7xQpuknDuRS3U1Ltu8rOWah1oQlJ6X1LtjVcBALVxRPsKt6hAndS/R7tKv3haqmvvQNw7+I7e23HIq6PtBupDxAXC8n/v175AWZqdqs7BeSjmkTxJqyveAgBoUI7o3/u/DpTeHO2jbXcnb+42gPoWcYGw4m6xmRLvW6ei4j12i4PKj4KMJNXgKE4AQNicrZ+1vCBQ/kr3rdtxQrtdXLxKGUmhOPMKQE1F3pBx627qmygVLHtLH/845UTl/oVKjYlX6sLtlSYnAwDq39lq3f0yJWqLluXuqtRGfyv/wpsUE3OTFvq/9eoA1IfIC4RNYnXduEFqVvCIsuZtUkmgZSkv2aR5WY+oIGGi7v1NXAT+oQCgcWtyydUaN/h8FWT9VfM2lwRC4fcq2bxQWVlblJBxp34Tx/6vQH2KwOx0jtqm/U3rfXeozcqxSu7UXp2Sx2plmzvkW/hHJQXPVgYANBxNYpT2yHL5ZkRr5YjL1Cmms5JHrFCbGYu18I7eYsAYqF8cXQcACAnabiBy0Z0GAADgOAIhAACA4wiEAAAAjiMQAgAAOI5ACAAA4DgCIQAAgOMIhAAAAI4jEAIAADiOQAgAAOA4AiEAAIDjCIQAAACOIxACAAA4jkAIAADgOAIhAACA4wiEAAAAjiMQAgAAOI5ACAAA4DgCIQAAgOMIhAAAAI4jEAIAADiOQAgAAOA4AiEAAIDjCIQAAACOIxACAAA4jkAIAADgOAIhqszv93tXAACgMSEQ4ow2bdqkX/2qnwYM6K8JEybo8OHD3isAAKAxIBDitPbu3auRI69XQkJ35eTM04oVr2jVqlXeqwAAoDEgEOK0MjIyFBvbWQ888IDS0tI0atTNys6e670KAAAaAwIhTskMFb/99ibdc889ioqKsnVDhw7Vzp2fMJ8QAIBGhECIU3rooYd0xRV9dM0113o1UteuXW1ZWFhoSwAAEPkIhDipYO/gnXfe6dVUMD2FJiTm5eV5NQAAINIRCHFSr776qp072KdPH6/mR7169dKOHTu8ZwAAINIRCHECMz9w8eJnlJEx2as5Vnx8vO09BAAAjQOBECdYu3atLQcOHGjL48XGxtqShSUAADQOBEIco7S0VLNnP6Dp0zN13nnnebXHatq0qS0PHTpkSwAAENkIhDjGhg0bbJmammrLk4mLi7Plzp07bQkAACIbgRDHMJtOm82n27Vr59WcWllZmXcFAAAiGYEQR5mtZsym02bz6TMxoXHbtm3eMwAAEMkIhDgquBH1ybaaAQAAjReBEFZwI+rbbrvVqzm9Dh06KDd3o/cMAABEMgIhrOBG1Ckpfb2a07v44ovt8DIAAIh8BEIcsxH1qbaaQTgdkH/do8p+ZXfF0xKfxse0V2J2vo5U1AAAGpoyv9Zlz9MrJaalPhJouicpJmagsvMjc8ElgRDKzMy0vYOn2oj6ZNicOoRKXlfW2EdU+N/e8+g0PVG8RwUZSTrbqwIANCSBALj2YY3N/lAVTffZgaZ7noqLVykjqbmtiTQEQscF5w7ec8891eodDG5ODQAAIh+B0GGHDx/W9OnT7Mria6651qtFXTqSP1eJyZO0WqVanX6lYhLnKn935SHj3fKN76GYQZl6MvsWdQvUxwQe3cY/qs3+Qq07WhevQZk++cvKve8slZds1qLMYfb9FV+To3X+A96rAICaKVN+9hAlp/sC1z6lJ3cKtNfvaPcxQ8Y1bbu/V0n+s8ocFO+13ckan73mmLY9XAiEDlu6dKldGGKGjKvrwgsvtOWuXUW2RM2cnTRZBXnzdJ2idF3OWyoumKyk/+G9WNm2l/Ti1zdqfVGxtvn+rI6r79eIAWP1/E9uCdR9orxnRkuLpuqul/yyzUbZZj08ZpRmfT5ES/M+UXFRnha0XaOxqffI9+n39lsCAGqiuZIyVigvJy1wnaacvCIVZPTSyZru6rXd5SrLf1Rj0h7W54OfUl7RHhXlzVbbVZOUOmW5Pg1zJiQQOmrv3r2aMWOa3WC6Z8+eXm3VRUVF2bKs7KAtEWbNbtC0Kf0V3aSJmicO1MjEZoG6QRo15opA3TmK7jtYA6MOqmDjB9qnb+V/6SFlb7tMU6eOUe/ocwKf9La6aspdGq2lmj5/k+gnBIA6UJ22u9yvl+6dr22Jf9LUSX0Crwea7uj+mjLtBmnlHM3f8KX3TcODQOio+++/3y4kmTJlileDBu3clmrR1Pu4Nmmqlq3PlVKS1LXFyT7CX6hw4/uB1N5LPWJ/6tUFtLhEvVOidHBFvnawfBkAwq86bfe+D7Sx4KCi+vdQ7NGXm6hF1ySlqEgr3isO684TJ/ttgkZu8eLFWrHiFbuQJNjTh0ak/JD27/tOKp2rtM4V81YqHlcqfXWp9yYADd3WrVt1/fXXH/0Mz5gxw47uNCQVo00zjv6MEyZMsD83qu+//71f+wJlaXaqOnt/n/Zh55mHH4HQMeaDaoaKJ068vdYLSYYMGaa8vDzvGRqM4F1o4v1aV7RHxcXHPcw8RfazARo0c+M+bNgQe52TM0+zZj1oT4e68cbfNZhQWFpaan8e83MFf8avvvrK/txZWVl24SKq7ic/a6nWaqbE+9ap6Ph2O/AI91ZkBEKHmEYkPf12u6o4PT3dq625Cy64wLtCw9JK3fteKhWsUe7H33p1AeXbtTA1XjGpC+UP/4I1ADVkwqC5cTc33U8//bTS0tI0atQoPffc8/Z1E8JMGKtvc+bMsQsTzc8V/BnNz2uC4fz5f9fkyZMJhdXRupv6Jgaa7mVv6eNKbXS5f6FSY+KVunB7xaLBMCEQOsJ8KE0jYmRnZ3MiSYNTqi07S7T/449VEtygusZ+qkuu+60GN/tH4C59oTaXfG/2oNHmeX9VVkGCMu5NUxyffKBBMnvDBsPg3Llzj2mr27VrZ8OXCWEmjNUnM9pkTrgyPYPm5woyP68JhkuWvGinJjX+UOjXzk/36WP/Pm+D6lpoEqvrxg1Ss4JHlDVvk0oC6a+8ZJPmZT2igoSJuvc3cWENbfxacID5MJoPpWlEnnjiv4758KIBaH2F/jBloL7L/rV6DH1aH5bVullRk7ZpemT9y5rRZoVGJHdWTKfLNGJltGb4FuiOpJbeuwA0JCZkjRx5/UnDYJBpv00PnAlj9XlS1AsvvHDaE6769OnTyEPh2YGm+0ZNue5rZacla+jCQtX+wLpz1Dbtb1rvu0NtVo5Vcqf26pQ8Vivb3CHfwj8qqXl4I9tZPwR41w2GmURpxstRe2aY2KwoNh9K8+E0H9JQWbBgQeB7Pq9//GODVwPAZbTdNWfaajOK06ZNtB12Pd0ojglXgwYNVEpK30A4nOXV1h3zs1555eW2d9AMFZ+O6fE8U8hFw0APYSMWbGDCEQaNiy++2PY6AgBqLthWG1WZ0mNez8iYbHsJzdfWteXLl9uyKuffN/6ewsaDQNhIrV27xt7BGW+99U7IwyAAoPYqh0EzP7CqU3r69etny2A4q0tmZGj69Mwq9/YRCiMDgbCRMSvPzJ5Q48aNtV30L7/sY84gADRAZg5gTcKgYfaQNduHmXBWlwHLDAGbkaHqdjJUDoVmuLs+ejZxegTCRsI0CGargsTEHkdXfpk5fmw8jcrMHC/2BwPqn8/n04AB/e11dcNg0KBBg2w4e++997ya8DMLX8xikpoceWpC4bp16+21CcImXOLMTHg2bbf5NxPOtptAGOHMPxQT/OLj4+xWBeZs4oKCf55xom8oxMbG2rI+V7qhesy/jW+++cbeoZtpBQDqlmkvzWke6emTbHv92murajyKY0KZCWdvvvmmVxN+pkdy8OCKDbNrIi4uzgbghITudrGJuUFtCHsqNmTm34cJ0s8995x+//vfh+93rlll3NB06NDOu8LxDh069MNHH330w6JFi3747W9/a/+uzOPBBx+09XXJ/PfMf7uu/7uovTVrVv/Qr98vf5g+ffoPX331lVcL1A5t98mZdjs3N9d+3szfkfnsvfzyy96rtfPII4/U2d97sM03f5baMn8n5veY+X7mYf4ce/bs8V7FyZi/M/PvJvj3ZZ6HUoPadsZ0hxrmzskMeaJCWVmZtm3bph07dujtt3/sYjdzBEeMGK6kpF71MjRs7lLMkIe5czF3fQ2B6TENfEj0xRdfaN8+cyokTuX777/XypUr9frra6u0fQRwKqaHZ8OGDbTdxzFHe3799dd23pxhevPM6mCzOjdU26+YIVxzVNwrr6yo0TBudQRPUNm+3R+yn9+02eb7mpNNDHOSVq9evRQfH2+f40Tm87Z06VJ99dWX+j//57GQ/X9vUIHQjJEDqHvmF5UZugpVIw+3BG8OAdQt0zFkpo2FAhtTo8bqq4fQ3B2Znq3HH3/s6D6I5kORkpKizp07q1WrVmratCmrq8/A9MhnZ8+184FuvfVWFiCh1mi764fZWcKMIL344oteTeiZxQxmrro5JcUcTYf6Yf4/mN5B01Nr/l+MGDEiZDfyLCpBjbVvX9GjW1hYaMtwM0HQ3AmZldTmw2B26TfbGJjhC1NvGimzis2EU8LgqZkhGjOp3YTBnJy/a+rUqYRBIIJdfXV/O50onIszPvroI1tefnnF/raoe2Z6gFkQmJuba/cXNr/zQjmqQyBEjdXl8KLpzfr1r9M0e/YDdkNUs1rWHNlkAiDDnFVn5uqYDctNb6oZIg73nCMA4detW4ItP/zwQ1uGw/vvv2/LhjJf3CWmV9Csxk5Pv93OQTUdIOHo9CAQokEzHwQzHGImq5seQXNXZHq36NGqGbM4yQzxh/rOEkD9MeHAzAM2PUjhYnqlzDY5qHvBnl9z0EQ4F/8RCNFgmaFN0z1uNtp+8smnbI8gQ8G1Y/4OucMHGh9zw7x+fcWmz6FmbszNSunk5GSvBnXJ/N6ri6k9BEI0SCYMBo90Mr2C11xzrb0GAJzIhDUzj9CEt1ALzh/s3r27LdE4EQhRK2bPKLPXVihVDoM1PdIJAFwSDGvB8BZKO3futGVwISEaJwIhaqVLly7eVWgQBgGg+oJhLRjeQsnc9JutvZh33LgRCNFgmKEOwiAAVJ8Jaya0hXrExjDzuHv06OE9Q2NFIESDMXPmTLvR9BNP/BdhEACqyYQ2E95CyYzaGGxR1fgRCNEgrF27xjZk5hxUVsECQPXFxVVM4QmGuFD44INttuzYsaMt0XgRCFErHTp0UG7uRu9ZzZg9lsaNG2uHO8K5xxIANGbBDap37dply1Dw+3fYPQ4ZtWn8CISolYsvvvjoecI1NWfOHFvefffdtgQAVF8wtH3ySe3a5MrM3oZmj0M0fgRC1Cuzs35wqJg7UACoHXOaiDmRKBTMQj+ztyEbUruBQIh69cADD9i9DAcOHOjVAABqKiEhIWQLS/bs2WPL2NhYW6JxIxAiJGqyO/6mTZvs3eedd97J/lYAEALR0W1sGYqFJYWFhbb8+c9/bks0bgRC1ErwzjF4J1kdDz30kO0d7NOnj1cDAKiNjh072TIUC0u2b99u22hu2N1AIEStNG3a1Luqnsq9gwCA0Ahu2xWKhSXvvvuuevXq5T1DY0cgRL1YtGiR3cqA3kEACC2zhVdtF5YEF5TEx8d7NWjsCISoc2Zuy4oVrygjY7JXAwAIFXNiSW33h/3oo49s2b17d1ui8SMQolYuvPBCWwYnH1fF8uXLbdmvXz9bAgBCJ7g/rNn0v6Z27txpy/bt29sSjR+BELUSFRXlXVWNGYZYsuR5TZx4e7W/FgBwZsFevd27d9uyJvLy8lhQ4hgCIerUe++9Z+9cBw0a5NUAAEIp2KsX7OWrCTPkzIIStxAIERJlZWXe1em9+eabdjFJz549vRoAQCiZXj3Tu2e2jakJM9Rsbtx79UryauACAiFqraor2sxw8fz5f9fIkb/zagAA4WB698y2MTURHGoO7mkINxAIUWsXXHCBd3V6ZrjYYKsZAAgvs12M2TamJqdIBYeag3sawg0EQtQZhosBoG7U5hQps6DEjPzALQRC1FqHDh3OeJg6w8UAUHdMu2zs2lVky+ow7bnZyxBuIRCi1syeV2cS3OSU4WIACD+zrZcZkfH7d3g1VWMODjDi4rrYEu4gECJkTjdXxZxdbPz85z+3JQAgvFJS+uqf//yn96xqdu3aZctu3RJsCXcQCFFrVZmrsn79eo0adTObnAJAHUlOTrbHhFbH1q1bbdmuXTtbwh0EQtRa06ZNvauTM0MQZrXb1Vf392oAAOEWvFn3+/22rArTo2hu3uEeAiFqLXie8akmL3/wQcUehQxBAEDdqe7CEjPtx/Qomp5FuIdAiFoLnklcVnbQlsd79918u2s+QxAAUHequ7AkuPgv2LMItxAIERKnOybJbDfTvz/DxQBQ18zCEjOHuyqCG1Kz+M9NBEKERJcuXfTNN994z34UnLvCZtQAUPfM8G9VTywJbkjN4j83EQgREgkJCSfdnPqdd96x5S9+8QtbAgDqTvfu3W0ZHA4+HdOGp6SkeM/gGgIhQiI6uo0tS0tLbRm0fPlytpsBgHrSvn17W77//vu2PJXgdjOXXnqpLeEeAiFComPHTrbcvXu3LQ0TDtluBgDqj7kZN8PAubm5Xs3JBQMj8wfdRSBESMTFxdmy8l3oypUrbZmU1MuWAIC6Z4aBzXYyp5tHaAIj8wfdRiBEyJih4ccff8x7VjFcbBqY4LY0AIC6d/nll9vyVPMIzWiOCYwDBw70auAiAiFCxgwN79z5iT232Ofz2eHi0aNHe68CAOpDcAQneKb88fLz37Vl7969bQk3EQgRMma/K7MJ6vTp05SePsn2Dvbp08d7FQBQXyZOvF1LljzvPTvW0qXLODwABEKEjpl78txzz2vw4CGBUJipuXPneq8AAOrTL3/5SzuCE1xNHBQcLk5NTfVq4CoCIULK3GFOnTpVEyZMYHIyADQQwb1gX3vtNVsGBRf/DR482JZwF4EQAIBGztygm5Ebc5To3r17bZ1ZdWwWApoFgSz+A4EQAAAH3HDDDba8//77bRjMycmxw8hjx4619XDbWT8EeNcNRkxMexUX7/GeAQAiAW13w2dWGo8ceb33TJo160GNGjXKewaXEQgBACFB2x0Z/H6/CgsL1bp1a3aCwFEEQgBASNB2A5GLOYQAAACOIxACAAA4jkAIAADgOAIhAACA4wiEAAAAjiMQAgAAOI5ACAAA4DgCIQAAgOMIhAAAAI4jEAIAADiOQAgAAOA4AiEAAIDjCIQAAACOIxACAAA4jkAIAADgOAIhAACA4wiEAAAAjiMQAgAAOI5ACAAA4DgCIQAAgOMIhAAAAI4jEAIAADiOQAgAAOA4AiEAAIDjCIQAAACOIxACAAA4jkAIAADgOAIhAACA4wiEAAAAjiMQAgAAOI5ACAAA4LizfgjwrgEAAOAgeggBAAAcRyAEAABwHIEQAADAcQRCAAAAxxEIAQAAHEcgBAAAcByBEAAAwHEEQgAAAKdJ/x+p+4OtzfJNggAAAABJRU5ErkJggg=="></p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">A circular coil of wire moves through a region of uniform magnetic field directed out of the page.</span></p>
<p><span style="background-color:#ffffff;"><img src="data:image/png;base64,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"></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">What is the direction of the induced conventional current in the coil for the marked positions?</span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;"><img src="data:image/png;base64,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"></span></span></p>
</div>
<br><hr><br><div class="question">
<p>The circuit diagram shows a capacitor that is charged by the battery after the switch is connected to terminal X. The cell has emf <em>V</em> and internal resistance <em>r</em>. After the switch is connected to terminal Y the capacitor discharges through the resistor of resistance <em>R</em>.</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
<p style="text-align:left;">What is the nature of the current and magnitude of the initial current in the resistor after the switch is connected to terminal Y?</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>Three capacitors are arranged as shown.</p>
<p><img src="data:image/png;base64,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" alt></p>
<p>What is the total capacitance of the arrangement?</p>
<p>A. 1.0F</p>
<p>B. 2.5F</p>
<p>C. 3.0F</p>
<p>D. 4.0F</p>
</div>
<br><hr><br><div class="question">
<p>A battery is used to charge a capacitor fully through a resistor of resistance <em>R</em>. The energy supplied by the battery is <em>E</em><sub>b</sub>. The energy stored by the capacitor is <em>E</em><sub>c</sub>.</p>
<p>What is the relationship between <em>E</em><sub>b</sub> and <em>E</em><sub>c</sub>?</p>
<p>A.  <em>E</em><sub>b</sub> &lt; <em>E</em><sub>c</sub></p>
<p>B.  <em>E</em><sub>b</sub> = <em>E</em><sub>c</sub></p>
<p>C.  <em>E</em><sub>b</sub> &gt; <em>E</em><sub>c</sub></p>
<p>D.  The relationship depends on <em>R</em>.</p>
</div>
<br><hr><br><div class="question">
<p>Four identical capacitors of capacitance X are connected as shown in the diagram.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>What is the effective capacitance between P and Q?</p>
<p>&nbsp;</p>
<p>A.&nbsp; &nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{\text{X}}}{3}">
  <mfrac>
    <mrow>
      <mtext>X</mtext>
    </mrow>
    <mn>3</mn>
  </mfrac>
</math></span></p>
<p>B.&nbsp; &nbsp;X</p>
<p>C.&nbsp; &nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{\text{4X}}}}{3}">
  <mfrac>
    <mrow>
      <mrow>
        <mtext>4X</mtext>
      </mrow>
    </mrow>
    <mn>3</mn>
  </mfrac>
</math></span></p>
<p>D.&nbsp; &nbsp;4X</p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color: #ffffff;">A diode bridge rectification circuit is constructed as shown. An alternating potential difference is applied between M and N.</span></p>
<p><span style="background-color: #ffffff;"><img style="margin-right:auto;margin-left:auto;display: block;" src="data:image/png;base64,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" width="267" height="207"></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">Three statements about circuits are</span></span></p>
<p style="padding-left:60px;"><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">I.   when diode P conducts, Q does not conduct<br>II.  when diode S conducts, neither P nor R conducts<br>III. the direction of conventional current in the resistor is from left to right.</span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">Which statements are correct for this circuit?</span></span></p>
<p> </p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">A.  I and II only<br></span></span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">B.  I and III only<br></span></span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">C.  II and III only<br></span></span></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">D.  I, II and III</span></span></span></p>
</div>
<br><hr><br><div class="question">
<p>A direct current <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi></math> in a lamp dissipates power <em>P</em>. What root mean square (rms) value of an alternating current dissipates average power <em>P</em> through the same lamp?</p>
<p>A.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>I</mi><mn>2</mn></mfrac></math></p>
<p>B.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>I</mi><msqrt><mn>2</mn></msqrt></mfrac></math></p>
<p>C.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi></math></p>
<p>D.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi><msqrt><mn>2</mn></msqrt></math></p>
</div>
<br><hr><br><div class="question">
<p>The ratio&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{\text{number of primary turns}}}}{{{\text{number of secondary turns}}}}">
  <mfrac>
    <mrow>
      <mrow>
        <mtext>number of primary turns</mtext>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <mtext>number of secondary turns</mtext>
      </mrow>
    </mrow>
  </mfrac>
</math></span>&nbsp;for a transformer is 2.5.</p>
<p>The primary coil of the transformer draws a current of 0.25 A from a 200 V alternating current (ac)&nbsp;supply. The current in the secondary coil is 0.5 A. What is the efficiency of the transformer?</p>
<p>A. 20 %</p>
<p>B. 50 %</p>
<p>C. 80 %</p>
<p>D. 100 %</p>
</div>
<br><hr><br><div class="question">
<p>An alternating supply is connected to a diode bridge rectification circuit.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANsAAACaCAYAAAAghz2JAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABKRSURBVHhe7Z0PbBTXncd/tU5pUhxURRUKYGMM+C/FWKAYigMJuSQguFT0miDiOOg4kJoIFRWCLjGEHrn2gEgtFil/qopeEHYIoRBbHDgQHOwkNSFcTPgjTLAdjAOUSE3IAQ6hDc7cfh8zufV6Z3d2/u28N7+PhNh5u2PtzM5n3nu/93tvvqNFIIZhPCdD/59hGI9h2RjGJ1g2hvEJlo1hfIJlYxifYNkYxic49B9CLl68SLt376Y777yTZsyYQXfddZf+DuMlLFvI+Oqrr2j69GnU1XVWbE+cOIl27NghXjPeklS2YcOy9FeMqnzyyQX9FeMllmTjH0MdLl++HKnNyujGjRtie+jQLHrvvcPiNeMtLFuIQBNyyZIlkd90GGVkZNAdd9xBra2tEfkm0tNPP61/ivEKli0kGKKVlJT0EcusnHEfDv2HgERCoXZbu3YtnThxgjZt2qSXMl7AsimOlZqLhfMHlk1hUmkisnDew7Ipip2+GAvnLSybgjgJerBw3sGyKYYT0QxYOG9g2RTCDdEMWDj3YdkUwU3RDFg4d2HZFMAL0QxYOPdg2STHS9EMWDh3YNkkxg/RDFg457BskuKnaAYsnDNYNglJh2gGLJx9WDYfqa+vp0OHDulb9kinaAZeCNfR0aG/UheWzUcGDRpEc+bMti1cEEQzcFM47P/yyy/rW+rCsvnIpEmTaPv2HbaEC5JoBm4Ih/2wf23tVr1EXVg2n7EjXBBFM3AinCEa9sfCQ1j1S2VYtjSQinBBFs3AjnDRomH/qVOn0unTbfq7asKypQkrwskgmkEqwsWKBvLyRlFHR6d4rSosWxpJJJxMohlYES6eaCAnZzg1NTXpW4qCBX8SkZ09VH/FeEVLS4s4z/gfXL9+XXvqqae0jRs3im3ZMPv+2EY53o8HzoHZeyrANVsAiK7hmpubpKvRYolXw5nVaNFUVs6lCxfUXcmNZQsIOTk59Pzzv6S5c58Ua/DLKppBtHCVlU8kFQ0UFxfTqVOn9C31YNnSAPpjx48fFxkly5Yto/vum0IVFY/Thx9+SKNG5UVquW0pj8MFEYhVVFREN2/eTCoaGDNmDB05ckTfUg9epNUHkIrU3X1ORNsQBDh8+JBoMuFOjgssOztbPEkGgr377rs0efJk0aRE0xJNTFmx0nSMBkuj/+Qns+jtt9/RS9SCZXMZXDDnz5+nkydPUltbm8iMwIAtxpEQ3kbULS8vT/90X3BxDh48mGbNmiXEk1m4VEUzQC2/bdurNHToUL1EHVg2h6DWQj/jzJkz1NCwV5SVl99LZWVllJubS/n5+ZYvNvTTEBwxZJRVOLuigRdffFHU7DLX6GawbDZobDxAu3a9Tnv3/jfNnPmIiByOHTtWBDns3pHRjysoyOt3rmUTzoloAP3Ynp6eSDO7Ui8xB+ld3d3d8ogJ2RLB42z98WIcrL29XfzNeMSOwwWVZONoVkh0HqK5cOGCNmXK5MCfk2hYNpu4LVxdXZ1WU1Ojb/Un6MK5IZpBsmtORtEAh/5tgiYSmkpoMqHp5BT0+UaMGKFv9QdNJWPgO2jDAk6bjrGgaW42mRRNRwyTrF69Rr5+nS6dKVyzJcatGg53atyxk2HUcFY+6wc4bqPG/fzzz/VSZ+BvoqaPRdYazYBrNoe4UcNhuABYCa7gbv7ee+8HJjSO7/PSS+tpz549VFpaQrNnzxYRRQSR7C51gGATavpopK7RdDga6RJOsvTRLMTFumrVKr1EXiAF5qVhAB83ICNiW15eLprJhYWFYgA/Efgbixcvph07dny7LbtogGVzEbvC1dbWUmZmphjMVg2ck0jzT4xFIhWrpeXPotwYixw9ejRlZWX16+thcLuurl7sr4JogGVzGTvCIT9y3rx5ppklqoFm80cffURnz56NyNfSZ7wSWTZFRcW0YcMGkXXz61//SgnRAMvmAbiYZs6cQY8++ig988xSvdQcnOMzZzpcieTJipE/2tp6NPKvVeSP3n777bRly1YlRAMcIHEZ1GzLly+nxx+voM7Oj5MGTXCR4a4eZtEAavUHH3yInn32Waquro40LbMpP79AzI5QBZbNRaKbkIsWLbIUpcTdHJ9nbmEEQ37zm9/Sn/6007VxzCDAsrlEvL6alWEBNJvQT2H6Rx3dGFYJEiybCyQKiiS7YNA/QUAg7JiF95USDgGSRHAGSWKsZpDE+xzK+PxaywxxK1MnnXDN5oBUwvzx7tDt7e1ixnaYsTpgrUINx6F/m6QiWjTR+2FWNlBxMNsKdjJD7J73QCDqtzggqXTNmjWimVNVVSVt8qcXOG3SGPvj3B47dkwvDRdOkoplbVLGlQ0HgxNRU1MjJvPhgsB2vEzssOHWD238Hbcy5WUCx+w0e19G4eLKduDAm6JWiwbS4QSFGVnvqEEE15NTZPs94gZIenq+pIKCAn3rFhjh7+o6q2+FD6n7CgHEjTxQ2YImcWXLzBzQb7FMpBXl5prPJFYZFi24yCRcXNkw/aGzs1NMAoRkmG+1YMF8ETUKHJ/W04JhWSJqGvuvaMFaqj/6KX2jf9QOLFrw8US4ng5qfn0tLSjqez293txBPfpHUkZvTvYD7WG0hRGJRP8tsFGzS3Xa/Owx2vy6T/QCnd6LWtOKf9Kysyu0l9u/0gtTg/tocuHW79V7qVFbMS1fK5y/Tmtsv2IUaq11v9XmF+Zr01Y0apd6bxWnQtIMksBjJhu40qQtKxyqjV3bqn2tF1mFRZMTx79bb7dW97N7tOxp67TWa7FG9WrXWtdp07Lv0X5W1x3ZSg21M0i+N5B+8F2iv312la7rRVbgpqO8OGtSfkNX39lMVQ230ZPPVdC4zFg9MihzXAU99+Rt1PBfB+njFPsnCWXDRYd+m7EgjWx803WCmi4PoLy8wZSplyWDRZMf+8Jdp84P36cvBzxAD40zWyfl+1R4TynRsQPU8vENvcwaSWs2rOKEJ4sgtUYmvvn0f+iVLbvo2IDp9K8P5yY/0AgsmjrYE+4GXf3sS6Lvfp8Gfs/sivkH+sGwEXQXfUZfXLupl1kj4TWIL4w11xGFRA4bLsZgcpneXPSjPpHI4WWV9Ar9lLbu/hXNGnKb/jlzWDT18CRK6YCkicgGuAAjHU+xpl+gQOi/7JdEL+2lzbOy9cLUCJJouFGoSDqT2a3/vj10tPqnNOsPE2jr+yvp/oHx6qKbkUvuF1S2qIMW1++ixeOsdlAiiDCJBRDdQRpX4EgUjbRA0KKOKs5vC8IxWfude7UrTSu0wuxybVnTX/WyWP6qNS0r17ILV2hNV1KLR1rpyog7w/btryo3o5ibjuHBWpMygwZOWUCrZ/ydatZso6M9erjxajMtLyqg6ctrqLl+M62pOUcD/vkBGhe35jPH0qd37dolskpUehokixY+LAmXMYx+vHI1/QttoCd+sZ7e6rhKEQOpqv55ynq9iuYuWk9txU/Rpp9PooH6LlZJKhtC/xs3bqClS5OvfygLLFp4sSJcxt3/SP+xcw9tmnGTXv1xcaQfPYyKH6qiN78cQg88XE4D2n5PTz+/PvVUQL05GRfMX/vhD4u1Dz74QC+RF2OyIvoPEyZM0NatW6e/Eyy4z+YP6MPNmzdPmzhxgvh+6M+hzAq9l1q13XVvaK2X/qaXWMO0ZkMCcnX1Wtq3700aP368XiovWM7amCL0l79coOLiIvGaCSeo4UpLS+nixVtRUiyBju6SFTLuHkePzJpO4+5OPqQUjWnoH81HzGlTZX0MrKdfW7tV3wo2qq35IstwRlXVcm+7FaJ+iwOqVqvVqgxgCj6OCf+GDx+mHTx4UH8nWASxyeWUoB7TCy+8oOXljRTfD10MdDW8xLQZOXHiJGlzIuOB1ZuOHTtBb73VRI2NB2nlyn8P3ONyGf9AcOTSpUvU3PyOuCb27dvvebTdVLaKigrRz1EJPIQP0/FHjhxJ27a9Gmk2PMfChRCIhmgkopJDhgwR1wT6cF5jKtu0adPoiy++EH0dlWo4A9zFWLjwES2aH4JFYyqbMR5RXFxMDQ0NeqlasHDhIp2iAcuJyCpjZ2Ver0DkTsVoZLqPKd2iAZZNJyjCcda/+wRBNAFkiwcW+Hnssce+DZdjdWTVcbIkNhNMkOWfSnaIl8SVDctDQzBjSg228YVZOEYmgiQaiNuMrK+vp56eHjFL2wARydLSEuX6E/EIUh+OsUdgmo5RmEYjMzP7zkDFGFVY4Cil3ARRNBBXtkGDBtH+/fvFVBSDxsYDIqskLLBwchJU0YBpNNJIyMTgNtJaMFN78+Y/uvJABJngJqU8BFk0AWQzw0jexby2MD5HzICDJsEnaMGQeCQdZ1NxkNUOXMMFl8DXaDqmARKmL9yHcxe38m1lEQ2wbCngtnC4UMKIMYzk9BzKJJpANCYTgD4b0xc3+nDoY+DcuvG4Wxkx4gF2z6EMfbRYuGazgdMazrgjL1z4czp16pReGi7Q792+fQfNmTM75XMoXY1moEtnCtds5tip4aLvyNgPD5oMM6nWcDLWaAYsm0NSES72QsG+SPYOO1aFk1k0wLK5gBXhzC4UnN8wj2EaJBNOdtEAy+YSiYRLdKHgmeWBfV65z5gJp4JogGVzkXjCJbtQkJ0ThqlLVokVThXRAGeQuEx0psnx48eTRs3wmddee41WrVqllzCITiJKOWdOBV27dk2+qKMJLJsHQLjp0x+msrIJtH79hoQXCmZWFBTk8TmOgCXvu7vPUWvrUdq/fx91dnbQ1q01dP/9U/VPyA2Ps3nA7t276d57pyQVDeB9TF2CoGECWSSowWpra8UME9zUUYN1dHTS5MmTIzegQlq69N9o7twnHWeaBAWu2VzGzoArnqswfvw4evDBh/QStUDtHenPigH8I0eOUEvLn0X5jBkzxfMkRo8eTVlZWX3O1+zZs6m6ujpS03WLJiUGwGVPAGfZXMRuZgMm5uKOrsqz4lBLnz7dJo4J5wNPiKmsnCvWIB0xYgQVFhYmnPkf27Q2+nDSCwfZEsHRSGs4iZohP1LWwW2MEWLoAlFVDGPgesGxIDMGC0bZyf3E38PfisZsWEAmWDYXcCM8jfNsZX9jeCEoA+E4bnx3yAZJ3PheZsMhsgvHARKHuJUUi2YW+jWJiB5WCMoCTDjumTMfEUtnjB071pXvhX7dmDFj9K3/x0nyciDQpTOFazZz3BxwxZ0cd3QzEmWopBscP84Dzocb4JpLVEPKWsNxzWYTt6d5IHCAO3o8omu0IAYIcPw4DzgfOC9OwLFiKCRRDSlrDcey2QDRw9Wr/1O83rJli/jBnY6TIUJnhMSjCbpoBm4Jh1C/lWe4G8KdPXvrOekywKF/ByDjAWNHZ86coYaGvaKsvPxeKisro9zcXMrPz0+p1rvvviliUiompwJZRIsGYfslS5ZQSUmJraEMiDp48GBlnuUeDcvmIsiKOH/+PJ08eZLa2trEA/PRJJo6dSrl5Y2inJzhCdfdxOA2sicgloyiGTgRDp/HviquT8qyeYyR74cB3qamJjp8+NC3A7yIuGVnZ3/bPzGesQA5ZRXNwI5wsYPZqsGy+QwuqPb2durq6uqXujRw4MCIjIfp3LkuqUUzMIQbNWokPfPMUr3UHNyY0O9zGmQJKhwg8Rn04TAehT4JptW8/fY7op+G5uOVK/9Lzc0H6YknKqUXDeBYi4qKaOfOnZYEQv+3vLxc31IPli0AICCSk5NDb7zxBv3udxvolVdqlch0h2CnT5+mvXsbLEUpEWjCEIiyoBmZCB7U9p7YAesgD2BbJXbA38rAN44Zx64qLFuaMRNLZuHMMmsSCYeMERyvyrBsaSSZUDIKZyaagZlwOMbYTH/VYNnShFWRZBIumWgG8YSrSZIbqgIsWxpIVSAZhLMqmkGscKjVVH/uAcvmM3bFCbJwqYpmEC0crrNU95cNls1HnAoTROHsimZgCId/qsOy+QiaSk5FCZJwTkUzwP5YQkF1OF1LQoKQpIwBajfn84UBziCRkHQ/cphFswfLJinpEo5Fsw/LJjF+C8eiOYNlkxy/hGPRnMOyKYDXwrFo7sCyKYJXwrFo7sGyKYTbwrFo7sKyKYZbwrFo7sOyKYhT4Vg0b2DZFMWucCyad7BsCpOqcCyat7BsimNVOBbNe1i2EJBMOBbNHzjrP0QYswVWrnyBentvirK2ttNiuTkWzXtYtpAB4aZMmUxff/13sT1kSJZYFp1F8x5LsjFqwzdTf0gqG6MWeNJOaWmJvkWUmztCLIHOeA/LFkIQJNmzZ494vXDhQhFAYbyHZWMYn+DQP8P4BMvGMD7BsjGMT7BsDOMTLBvD+ATLxjA+wbIxjE+wbAzjC0T/B2lHZ91dB2AOAAAAAElFTkSuQmCC"></p>
<p>The conventional current in the load resistor</p>
<p><br>A.  is a maximum twice during one oscillation of the input voltage.</p>
<p>B.  is never zero.</p>
<p>C.  has a zero average value during one oscillation of the input voltage.</p>
<p>D.  can only flow from P to Q.</p>
</div>
<br><hr><br><div class="question">
<p>Two capacitors of different capacitance are connected in series to a source of emf of negligible internal resistance.</p>
<p><img src="data:image/png;base64,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"></p>
<p>What is correct about the potential difference across each capacitor and the charge on each capacitor?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>A conducting bar with vertices PQRS is moving vertically downwards with constant velocity <em>v</em> through a horizontal magnetic field <em>B</em> that is directed into the plane of the page.<br><br></p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p><br>Which side of the bar will have the greatest density of electrons?</p>
<p>A.  PQ</p>
<p>B.  QR</p>
<p>C.  RS</p>
<p>D.  SP</p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color: #ffffff;">A capacitor of capacitance 1.0 μF stores a charge of 15 μC. The capacitor is discharged through a 25 Ω resistor. What is the maximum current in the resistor?</span></p>
<p><span style="background-color: #ffffff;">A.  0.60 mA<br></span></p>
<p><span style="background-color: #ffffff;">B.  1.7 mA<br></span></p>
<p><span style="background-color: #ffffff;">C.  0.60 A<br></span></p>
<p><span style="background-color: #ffffff;">D.  1.7 A</span></p>
</div>
<br><hr><br><div class="question">
<p>The arrangement shows four diodes connected to an alternating current (ac) supply. The output is connected to an external circuit.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>What is the output to the external circuit?</p>
<p>A.  Full-wave rectified current</p>
<p>B.  Half-wave rectified current</p>
<p>C.  Constant non-zero current</p>
<p>D.  Zero current</p>
</div>
<br><hr><br><div class="question">
<p>The diagram shows a diode bridge rectification circuit and a load resistor.</p>
<p>                                                    <img src="images/Schermafbeelding_2018-08-13_om_11.10.14.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/35_01"></p>
<p>The input is a sinusoidal signal. Which of the following circuits will produce the most smoothed output signal?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_11.11.06.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/35_02"></p>
</div>
<br><hr><br><div class="question">
<p>The graph shows the variation of the peak output power <em>P</em> with time of an alternating current (ac) generator.</p>
<p style="text-align: center;"><img src="data:image/png;base64,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"></p>
<p>Which graph shows the variation of the peak output power with time when the frequency of rotation is decreased?</p>
<p> </p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>Three conducting loops, X, Y and Z, are moving with the same speed&nbsp;from a region of&nbsp;zero magnetic field to a region of uniform non-zero magnetic field.</p>
<p><img src="data:image/png;base64,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"></p>
<p>Which loop(s) has/have the largest induced electromotive force (emf) at the instant when the loops&nbsp;enter the magnetic field?</p>
<p>A. Z only</p>
<p>B. Y only</p>
<p>C. Y and Z only</p>
<p>D. X and Y only</p>
</div>
<br><hr><br><div class="question">
<p>Three capacitors, each one with a capacitance <em>C</em>, are connected such that their combined capacitance is 1.5<em>C</em>. How are they connected?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_19.12.40.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/36"></p>
</div>
<br><hr><br><div class="question">
<p>Two initially uncharged capacitors X and Y are connected in series to a cell as shown.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>What is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mtext>voltage across X</mtext><mtext>voltage across Y</mtext></mfrac></math>?</p>
<p><br>A.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>2</mn></mfrac></math></p>
<p>B.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn></math></p>
<p>C.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn></math></p>
<p>D.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn></math></p>
</div>
<br><hr><br><div class="question">
<p>A parallel plate capacitor is connected to a cell of negligible internal resistance.</p>
<p>                                                                          <img src="images/Schermafbeelding_2018-08-13_om_11.12.32.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/36_01"></p>
<p>The energy stored in the capacitor is 4 J and the electric field in between the plates is 100 N C<sup>–1</sup>. The distance between the plates of the capacitor is doubled. What are the energy stored and the electric field strength?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_11.13.23.png" alt="M18/4/PHYSI/HPM/ENG/TZ1/36_02"></p>
</div>
<br><hr><br><div class="question">
<p>A capacitor of capacitance <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>C</mi></math> has initial charge <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Q</mi></math>. The capacitor is discharged through a resistor of resistance <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math>. The potential difference <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>V</mi></math> across the capacitor varies with time.</p>
<p>What is true for this capacitor?</p>
<p>A.  After time <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>R</mi><mi>C</mi></mrow><mn>2</mn></mfrac></math> the potential difference across the capacitor is halved.</p>
<p>B.  The capacitor discharges more quickly when the resistance is changed to <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mi>R</mi></math>.</p>
<p>C.  The rate of change of charge on the capacitor is proportional to <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>V</mi></math>.</p>
<p>D.  The time for the capacitor to lose half its charge is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>ln</mi><mn>2</mn></mrow><mrow><mi>R</mi><mi>C</mi></mrow></mfrac></math>.</p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color: #ffffff;">X and Y are two plane coils parallel to each other that have a common axis. There is a constant direct current in Y.</span></p>
<p><span style="background-color: #ffffff;"><img style="margin-right:auto;margin-left:auto;display: block;" src="data:image/png;base64,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" width="246" height="162"></span></p>
<p><span style="background-color: #ffffff;"><span style="background-color: #ffffff;">X is first moved towards Y and later is moved away from Y. What, as X moves, is the direction of the current in X relative to that in Y?</span></span></p>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhEAAADTCAYAAAA/IUGEAAAgAElEQVR4Ae19v4sjSdJ2/Rtlt9veeGvJkrPOOeusUUY7a4y3hqCNF8Y4GEPQcLBwMCBoFg4OhoKB5WBpEOsMHM0rlg+GoxF8HMvQ6OVlOJZGLMPQiHjJqoyszKyMqlJJKlVJT0Oj+pUZEU9GRD75o6SI8AcEgAAQAAJAAAgAgRYIRC3KoAgQAAJAAAgAASAABAgkAk4ABIAAEAACQAAItEIAJKIVbCgEBIAAEAACQAAIgETAB4AAEAACQAAIAIFWCAySRERRRPgHBvAB+AB8AD4AH+jOB0IsY7AkImQMrgEBINBvBFTCxx8QAALDQ0CK3UFGtGTM8JoFGgOB80IAsXte7Q1rTwcBKXZBIk6njWEJEOg9AlIi6r3iUBAInDkCUuyCRJy5Y8B8INAlAlIi6lIHyAICQGB7BKTYBYnYHkuUAAJAoCUCUiJqWR2KAQEg0BECUuyCRBy6ATYrWqRTSmLeQRvTaDKj+fLp0JJ7UP9HSpMLiqLvKF09Z/o8L6Z0od6uSVJaHUXDNS2mI4qiC0rSjwfXYD/2/k6L6df5G0mjG1qsN1pv6frBzWotQEpErSs8ZEHELmJ351wlxah0/ZAOvVvdUuyCROyGa3Xp9QeaJZfh11HjK5o9DIVIfKHVIqXp9B9bdvzHJxGb1YLS6V/onSYxREMkEUS0vqfpKKYouqSr9DdSNGLzmNJVRk6/puni92pf7MldKRH1RL1CDcTu0QcAiN3CHftwJMUuSMTBWuczLWffZAQiTn6g+9WXTNJm9Z5uNLGIJ3MaBI1YpZS0YuRlEnEwuIMVH1t+UKmWFze0XtzQSLVD/JLSj0tKrxRBjWk0vad1y1q7LiYloq71qJaH2CU6duwcW361h2x397RjFyRiO29o/vTmgWbjOE/4jzmB4MKb5S1d2UsazwuaXkQUXUxpkc/6UyiIeWr8YvID/TUjIi9oMv9E0nWiDa2XP9PUzIaMaXJ7TyueDTej8hFN5wu6myYUq04qGtMkfcg7JiYQ2XV1b0TThdBlrZdFHXFC07ufaVaznNFed4WmmiH5kSbZCF3rbezjJMTLSBFdTBf0bGy2lzMUTnOaTcZ61kgtOf1IC038snYzbfSa5v+yMB1dU1qxNMX2meWblvXkvmNNgXJ7OMsb7GH9/RwEiUDsNopdMr78Pb3561WWO8zAyM4Fiuj68bS32FWzdEuazyY5wVZxMZrQ7WKVzdYhdveXC6TYBYnYH8ZuTdz5Nln7N8HYjESoxsz/8w7ddFTe9WK6m59Xn/bIlaf27ft8/A3Nlp+J2A6vbtdYNbf+mx4Zc3n7U94T0V53i90b3ZRMtq8piZDq0SN+JoDcRo4sbeN4RktDzFxkjH3sBy3rMbWaZQ0lezjLGKy/lIj4fi8+2ee5zaqU4vZsOAA4pdg1JMKKiYyoS7nAEF4p5raNXXuZz8436rhY9gvpadoBsVvl3c49KXZBIhyY9nhyyESkprNV57b5g9Z/bMxMRDbNba7/oZdTrGDidd74muZPqtcrSESc3NKD2rBnEoA1Um9gy2Y5o7FKJmavx4bWD7d6Q2kDEuHY1ET3TzSfvHCShSFNxj4mEoX8wma2r6gnuXmfz9JsHml+nc9KmJEVdxbRJSWzD9ksjZFnbRz1PUgmEdvVY+o17eORHPNAvw+kRNQrrRv4u9GX/aIpiXD8fNixW3TOnGOeab3+TJwL4quUHjNy/UQPMzVTkc+cEhUxV9rfs1Xsbuhpfp3PgJgl4y+0mr/Sy346z3EbIXaN27Y5kGIXJKINmk3KcCKqYLqmGnbyhonIdGy6Au6o3OvcgfoMXZ3zkgSTCO5QVYWBa2xLxcisWoeiE+fneHqfz7fWnTEzScegaR0wBoX8kn1SPWwztx8/ZxOG0DVLujpk+9jeIvFaOjWoJ6/2Cz2mL/WSU96uRaL2BPf0VEpEvVLXb/sq5bjtzjB2jS87MfhMq/S78GbySC8pMmZOOR/kBrFrchWTE66Dy+rZVJaH2GWAWn1KsQsS0QrOBoWq1lUf39H1tfWaZ0Mn5w4pX9svdAhf50AKkQgOOiYMTCpUnXzNIhacVA9IIlybGujOmO2aiKR62GafRNidBZe1k1PRLNkRt02JRGxZj6qsmPm4pOT1Kz3Lw6NAT3BPT6VE1Ct1EbuVe7IqfZmqSUQ2WOC42TV2Ta7ifMZexPnDIxFbxhxil/HMP6XYBYlwcdrjWf0O74g7KE5aZo3bmpKzOih2arfDLUa77nUmA8W0edk4fqYhiWB9yxWZKcxiOeMLre5/aLycsb3uxZQoLy8Ur0Hq5GF2mPO5UpxtZpJk1VNazuA12mxKobz5lZOh1UY+NNxmlYm3QT3FMlNE+eyDNSvBU+S+8B6eS4moX6oidpvErpmJsDtna/bNLJGWGteKOb002C52a5YzeA8Gx5etJ19D7JZaR7ogxS5IhITYPq7zHgRr45FqiOzf7B1QgjioQrMGxbQ3d0huhyuRCHvk6tXLwWU61BoS8TSnifmyLPtZG6TtbOBOVbKpGHVLutdtzirjmuPmkwipHrXL+xXN+Q0NTjpHSURFsjT7XpR5Zn+ERXbsJunhsZSIeqcqYlcvSZTzD8euRCIKv/Ri1wySpJiz/djNJ+HYVWMC/v4UX9aYrueP+RsaiN29hJcUuyARe4G3opLSt95dUjL9e+kbK+3vj4jihG7u/0lvhdcjm5KI8iue/qtW3KHaxICv8Uhd2cYbo1SgVrwR4LzWpV4T/UfzVzyz1y9tHP3XU33d1bOBVzxnc1qab3S0N3dyggrZt80rntYbNJycDj2aMYmyvHRRkK2KdrFhPfKxlIiOrFZYPGK3+hsr2f9tYs1IOrkg8Nrl3mJXEYmmr3gidrl52nxKsQsS0QZNlAECQKAVAlIialUZCgEBINAZAlLsgkR01gQQBASAgJSIgAwQAAL9RkCKXZCIfrcbtAMCJ4WAlIhOykgYAwROEAEpdkEiTrCxYRIQ6CsCUiLqq77QCwgAgRwBKXZBIuAhQAAIdIaAlIg6UwCCgAAQaIWAFLsgEa3gRCEgAATaICAlojZ1oQwQAALdISDFLkhEd20ASUDg7BGQEtHZAwMAgEDPEZBiFySi5w0H9YDAKSEgJaJTshG2AIFTRECKXZCI3re2/e1u9hcKSdd7b9AZK8i/K2B/kdc2cFhtHviqa/PFU+YbSbepu5tnpUTUjfR9S/mdFtOv8292dDCXru9bPuprj4D9tfwRmZ8gaF/hHkoWflP+YT3+mnv+0rw9iNuyCil2QSK2BPI4jweca4BfebxP7DarBaXTv9C71fM+qz1wXbuSCKUefx2wl0yMP9hE88DmtKheSkQtqupHkcC3iRoyV/Xtrv3Q/ny14G/b5J8hqPhdoE5BMj8x4Max8SmHrHaqWUaWQxJBIkKo9PGak6yW9JF/EvqITnU8mPhX+orv9T+eLttI3geJsH8ThX9YjH9bwyMW26jW0bMnRyLImx36uKT06pKiqP9t0VGT91MMk4jKXxI9huo842DPjvDAwSUWXWsnxS5IxN5b4omWdzf61yvzH4WJkxu6Wz4ZSZvVPd1OxvoHbiJSv5UxTRe02phHAgdWsmL2XDvS4U4roovXKb2/SShWZbPf5ljRZv1AqdbD1zH/3Y05zYye/m9XsGN7P8PLTNowe/83MMY0ub23bPV//yKiOJlSuljlP55TQoIJRPGDO8VviTzRcj6jySjW2HqySroVv9ZY1KHrN8mlrj35tzi+oskb3e7Bsuo3U36i+eyKoshazlC/z3A7oZFpU/VcSgv+4a+S/epCkWiyac8n/SNEgSWOYPEjXpQS0eFV8v1Qx93dktYsvFVbqMLFTKGyL/uvJffsxyN6nf6DbhJFPJTv/0D3q8+0Xqbaj5U//Gz9HoySV+XnTCgjyn52m20zM1hMPPPfnLib6pygSM/kR9fv2uDh/2ZGZOvPOaPQYbOc0VhhZn5/g3MW55WaduOYNjGnDOa4jmk8eyjnkVVKCbdT9pnHo/kxwMkP9NesPViHBr/PYX4xuE17mkbKD8ysovqtnH/T0+Imyw/lJQ6v3IFPpdgFidgr8KGOXicV7lTNz34XnWCeeMo/rlRWzU5WTUY6HJC+LJVA/0TJt3niyuXbzLfCDtNRFc8UyYo7tyJ4zTScE7SF7iaJOPeVfi8pffxShsAEa2FTTgBsbIp7WWK+SukxI2g6iXHCsduC20cnpdymwkaDEevJz5tfQrVkZgmRsbCuc1lDIjjZlZ+pTRgm0YwoSUYURU38JwBnx5cUjkf5MzN5Ptbcoe3QFsogp/4mI0YmEb4+EcXfJvSt+dVcdb+IpyBh0X5lfIZ1YT9XP/j6mNKVqpP91viPJ9+QnzZ4SDHI+jPB4c7ZlsHt4MUo22Jih/X1no+4TmXsA83GaiDBz3geV0MiiljXP0wo6mDHXNv29HTTp6a9Rt9SogZFYj4Mlz/EVSl2jxTRu5koGbNbrYcpbZyBAzrInJvKtjsm24Gl8haJ4J+1tgKCk47pyM1ogEcMl5TcvM9nDTaPNL/OZ08MaeBgZdv43AQvJwlLV/6J5azMMz3Nr7PZEVOnZIpznQPWWs4wuKpfQM1nMTarO7rOZiU4wTAe+pzLZAlK1fVF62PNFDhyrWTMNlskwuC5XtMfBotLSmYf8tEu225IBOPM+nnCKk9dgsOyK4v04GZvYtd0ooz9Lm1h/yx7FQG2G4B9OKbR9R2tNnZ7crxw/ERkZsrYZ3k2UYku+TmXY9v4nDtzIo75wm/4l3q5zI54ZKYW+crEt+7A83OWoYiBjjm2L0lpZcPFx6V2Y2JSzLywbYYwcVn7k5czTM4j4pkI02Fv/qD1H1aOymaJ1MDmC63mr/LZQ5MHWranrZNzbBMy9gfngc5PpNgFiThEU6ifpk1TStM3xdS6cVbbOVTwjGkye0vp3JpWFXQyhIRZeS075U7TSkJmJM/JglT00PTCmlLkcxMgWiFm8DyaMdOGeV0cvCZhGFk8erA/BZY/mtAsfVf6qXQXEg7YgkRwAihkqxJsfzl5Xkzv6T8ZgRnRn6cTushGMv+mxVSN6r0RTGV78nKGhWcmWmPqYMj6MEmxOw6FjZpSfkNp+os3fe1aX5xxErZ/yr2428cjKRF1o6taBnhHafrWWqZj7HZpi6KzVPap/6JzlixjH2b5RMTxZfkM+zWTCD5v6ufZc0xoTb3sh3Y8Fse5rLZ4qOWHXyhV+W9WLNOx/maWQOXD/8xpEkd08ecp/fkiJwH/WUzpwpl5UfhVtZs185DZ9wctZ994szeBNuAcZ/JyQSJcbIX4NrmNc0W79gxoVlxiQmXpWNzs/kiKXZCIvbYFB57uDBQxCDhrvt9ABZqdzIop/qBKhoGrddNX9JrXUM1UfahUkSxMEBvnt5KXryOfm6Sj6+YkZ0iEiu88EcSTn+g+C167M+XAKhIUJ9nInn40ScIiXZX7Pbje7UmESWLjKc1ejyhSNn68y5PZ6zf0VzUNauxr0p6cZCw8FVxBDLk9mERoXJmkWEk3MtPKoXbla4Jsvt3DTykRHVxVnoHLSKoiaU+aMHrt1qItCnJ/ScnrV3o/VN3okX3Yks/xZXUaTBo4fvnc7ejYrwqybN7iia/p7v5Ntu+gKMPPh+KyGNFnbbIVHjxAUgOjNBsIsL6sf7Ff4Rv66+y/NHn/F80nLyi6+C+a/VURAO6YrWWiynbjmZYXNLn7pXopgx2N47MC6/xRjjE7r6k73H6sK59v156sTvAzoGPwuY4uSrELErHXBuCRIScQa9rLclZfJI/gi81F/hPWSEfPPtiJ6yr9rbx5KKuiSBZFEAecveSshR3l5Qyf7Ohn469o9JVau7um+RPvEOUAtKb0fdNK55wQ7NkT/yG2gQO4IDNm06gzzWuvURf1q6DIEyvbq5JqIBGb/Qah9mQbreSh1OXRn9pYppczNqv3egOdRyJs80w5rz77GXMsyDb3+3cgJaLDampNeWvSXSwBVODcpC1scp/VXY7VsG3sw5b8BiSCSXu9n7PNFzQavSCXtFuj7uSWHtYcr2FNzdU6PHjkzDOk1hJokX+KpRTlC3m+KJYMsmsWiTfLnTXtxjk0Ho3oK1WvqcNo7x6Ucl6Bia2rGvAZHULLGYbst2xPVyv3LKCj+0C3Z1LsgkTstR3szohZ/gsajS6KzpUDjZckzKffOVuKmTJMTtQ9K1kZR7bKZIdtSQSPwNkG65P3VhhRRZC5HXD+QEF2rDqUzZnOXvIwWKhn7Y7fCNMHLs550PMoyJOjlgiyNeeiDk44hb42sbCIidnRbtfptafZE2F1BpkoGxe7vDpmEuHakSVQxkBs08IOEmXbz/TrWEpEh9Uy1BYxfTX6imIzI9amLax6ueNUhhhiURHTZiRr+U0TEhF6EyTzmbKfG8Kh7vudqtHR902OuxZ4mDxl1fnViEYxk3XdyoaMFHqVYzID0nTgRWz47Rao07Spvhf6CHTQ5VkTXZBnsTg2zeeYruePegAHEhGCubfXjpOIGsJhvTaZjxb+TQ/ZND8Hp1oztF+dVAHnvYroiCo6x9I6q0kEUrJqSyKUAr6egVfAWE+TFOwO2Nyk9fJnmurll3zd336VzH9dTRGMCd2Kr3hq3R5u9bSxbbtfl4BrQF+TxPxkW9ueVbMB9uuhCr+/l1/xVNPF9jJG6FU7hrL0WSW79HAvLhwvdp9omV7rV2kvsw3Djw/q9ULLf7ZtC9O52OQ+h7kgzxz3Pvy7dDoN/dzsWbJn1yw9/Ncx/bjbFo8sZ/Crqfp11cf/ly8vOKSYSbulVyAmc00btFv2oDWocmZDLXvtw21IhCrnY+Fj1ZoU2kp5xwEdvSc6PZViFzMRnTYDhAGB80ZASkTnjQqs3x2BYlao2Puxe62ooUBAil2QiAIjHAEBIHBgBKREdGCxqP7UETCzsv4GyFM3vDv7pNgFieiuDSAJCJw9AlIiOntgAEBLBHhppG5ZuGX1KGYQkGIXJMJAhAMgAAQOjYCUiA4tF/UDASCwGwJS7IJE7IYrSgMBILAFAlIi2qIKPAoEgMAREJBid7AkQhmEf2AAH4APwAfgA/CBbnwgxF0GSyJCxuAaEAAC/UZAJXv8AQEgMDwEpNgdZERLxgyvWaAxEDgvBBC759XesPZ0EJBiFyTidNoYlgCB3iMgJaLeKw4FgcCZIyDFLkjEmTsGzAcCXSIgJaIudYAsIAAEtkdAil2QiO2xRAkgAARaIiAlopbVoRgQAAIdISDFLkhERw0AMUAACFD2RhVwAAJAYHgIgEQMr82gMRA4OQSkRHRyhsIgIHBiCEixi5mIE2tomAME+oyAlIj6rDN0AwJAQJ5FBImAdwABINAZAiARnUENQUBgrwhIsQsSsVeYURkQAAJVCEiJqKoM7gEBIHB8BKTYBYk4fttAAyBwNghIiehsAIChQGCgCEixCxIx0AaF2kBgiAhIiWiItkBnIHBOCEixCxJxTl4AW4HAkRGQEtGR1YJ4IAAEahCQYhckogY43AYCQGB/CEiJaH8SUBMQAAKHQECK3QYk4jMtZ99kXxITT+b0dAjttqxTMmbLavB4IwQ+UppcUJSktFLPr1JKogtK0o+NSrd76AutFnNarL7kxTuR2U5TudQzrdLvKIq+o3T1LD8m3Nk8pnQVRxRfpfS48R/6nRbTrymKvqbp4nf/Zq/PEbtdNs8xYpdos1rQT4sVZW6L2PUa/PRit55EbB5oNr6gr0ZfURxf0/yplNE8kA5/ikR0eIwLCV4iKm4c7Oh5MaWLaETTxfpgMvpf8Rd6TF9SHF3SVfpbnpC10pvljMZRTKPpPQ0NIcRul57XfezS84KmFxFdTBe0PXXuEptDyjqv2K0lEXnC+obepH+hcSChHbIppLqRiCRkDnG9+0QEEqHbcfMbpVeXFMUvKX3UszJ8bXRDi/XxCf22HofY3RaxXZ7vPnZBIs4vdmtIxCeaT15QpBLW079oNo4pGs9oeeTcNbxEtKH18meaJpfZspDSP05u6G7Ji0Nq+j517kfRmCa397TKsNZT43FC0zcTGkVRvryU/ED/XMzpxtQ7pkn6UIxONytapFNK4vx5t04hOa2XdDdNKM5kxDSa/Jkmo5jCyxl5koq/TejbTEZM49kDbZrIdeQUeOQEgvXVI5rSlKjC68dcr0zPS0qmqbf8oa79xXrGw6Zkfl0bEJGnc6Ta425Z4O3U6S1nZDZsqxORu6zBI5zhLWMwNIjdnscu+XGgcsCPRWyphvTiwOQyPQuh2jj7v5jS4qO//FkTu6RzSvKa3kzGOl8qHVJaiqTZ11nJt/NnWWfELkdk808pdqtJxNOcJrHuGIgT2Dc0W35uLvkAT0rGHEDUfqrUOI6u73JSsP5AM9Xxa0KWz/ZcUjL7kHdImxXd36iO/AVN5p+IiDskDqZnWj/canIwpuv5I22I19q4ffR5fEWzB0VWNrpM1TS4LjO6plQRHKNHRFUkgtfmN6sP9Ovqf/P1+iq5PJrmETbjoZfLSjMRDonY0HpxQ6PokpKb9xmem9X7nEjx6Dx7PqKI7ShhU27W+jZgQv2K5tlejSd6mF1RHDHefp3cZnpPRAud8ho57i4pef2Kkriq/Xwd+neO2O1z7H4uYotzEccmx1ZN7JZmIraNXU0iMhKQDYg43rkfKvs0YreMySGuSLFbQSI29DS/dpOkQyoOoWazOiVjmpU+wlNZIG2X/PPA4A2M3CFZHVa2V8WaIVBUw95LEGwrvUlW2tsSKpNdqyER9uxUqA5y5ea2yUnBsUM1l5OIdGduy1QUKdsnoEmXxjubFdHN7eLZzAfcMnpqmJNpbRXcZjaJcG1266+okBO3GuE1ll9R3xFvIXaVs6p9Zj2MXaqPrdxnXT923MnfE7Ft7DKJsOM7gJcjM3DixhZiNwDR1pek2K0gESGHCl3bWpedC0jG7FzxwSrgUauaZlNT2n+j9N1CL1VooWoJ4F1KaZpSOuMlC59E2Dv988CwNzDZnW8eRHpakacXzaddT2G0Xb64qgMw+HaGd8905tVyczlsWyGJj0p62InIT1JcyCYv9vN8P3SN7/FnZRvwTE5uW5xM6W36D3eal+vJPkMkwrO5iU66zjrMHNE9PkHsqsbpZ+wacmPyhB3Hue/W+qEfn7aP+/fYT+3YZRLB+SZ7ppxnuKj5ROwaKA51IMWuSCJ4LVYVLP/zNPuh1K2uVzKmulQP7q6XNE9Test7Dkb51PhmdUfXat/BaEIzRSLSX+hh8YbG5lVKr0PKTGmSiLZrp1LnbcmpXM6wAj4nL9Vy6xJRSY8miSh7Ro+Q7Oe52UPX+J4iP7VtwA8/0XL+jtK3vNeEl5P4Pn96bRaSH7rGxb3POsy8x3t7ithVTdPP2GUSUfUqf60f+kTB9nH/Hntp9gzPboQIQ+gaF0bsFkgc9kiKXYFE8HdDWNPnrJ+e3q5yNH70UJ+SMYeSd4h6i+m2Zf49HM4SAy8l8cjV65AyhaoTEbVpJ2dEoK32pxLtpBAaNTSQm9vOSaOMbiWJaDDl6i5/6PodvX2Z7nJLftdvA79MeFq6eMprs5D80LWiAueoNnk7T/f3BLGr2qanscux5eQi15fqYrd6T0R4JtsdeIQIQ+ga64XYZSQO/SnFbphE6I4jTBS0I1Q42rGMObTctvXnszqXZiMgES9vKJL2h957wiNa9SZHqt8q2IFEmM2EXK9i7HoDor3e6BjlbcZsurHSmomgJnJ5jZ83Vm4eaX6tdmJr0pp1rtZshtPZ8karAk9jF+8XcJ7XBoauGduZMDBWgTbQOsfJD3Sfbazk5Q2JDIFEGHitAykRWY/06vC8YpdjKyazCdzkAB2bdbGrCZLpO5y44/orYjc0MAleYzdB7DISh/6UYjdIIlxmWFbNva9Zonqdp6NvF5GMKWvalyv+a01qg9yEbvlb3Uyg6qUjtayhp8vzYPQ6pMysHHdpT0T2iFonvOX9Fapu71XIEDxOmWaveJqlDq7PqUOQ670m5uLBpEJv6HQSkRLi4+nZVXre35zJilqftW2gSNg93ZrXzpRd3mtkVnXFGzX2xkomhfrBkJ5OHcUJZiIKLLo98n3txGO3FFvq9esppZyrFPhVsavKz1/p19C/o/S//+59w62Ppxe7QcKg+xhnsGJ5AWLXAuNwh1K/GyQRh1NjPzVLxuyndtQCBIDAoRBA7B4KWdQLBA6LgBS7IBGHxR21AwEgYCEgJSLrERwCASDQQwSk2AWJ6GFjQSUgcKoISInoVO2FXUDgVBCQYhck4lRaGHYAgQEgICWiAagOFYHAWSMgxS5IxFm7BYwHAt0iICWibrWANCAABLZFQIpdkIhtkcTzQAAItEZASkStK0RBIAAEOkFAil2QiE7ghxAgAAQUAlIiAjpAAAj0GwEpdkEi+t1u0A4InBQCUiI6KSNhDBA4QQSk2AWJOMHGhklAoK8ISImor/pCLyAABHIEpNgFiYCHAAEg0BkCUiLqTAEIAgJAoBUCUuyCRLSCE4WAABBog4CUiNrUhTJAAAh0h4AUuyAR3bUBJAGBs0dASkRnDwwAAAI9R0CKXZCInjcc1AMCp4SAlIhOyUbYAgROEQEpdgdLIpRB+AcG8AH4AHwAPgAf6MYHQuRosCQiZAyuAQEg0G8EVLLHHxAAAsNDQIrdQUa0ZMzwmgUaA4HzQgCxe17tDWtPBwEpdkEiTqeNYQkQ6D0CUiLqveJQEAicOQJS7IJEnLljwHwg0CUCUiLqUgfIAgJAYHsEpNgFidgeS5QAAkCgJQJSImpZHYoBASDQEQJS7IJEdNQAEAMEgAB+gAs+AASGigBIxFBbDnoDgRNCQEpEJ2QiTAECJ4mAFLuYiTjJ5oZRQKCfCEiJqJ/aQisgAAQYASl2QSIYIXwCASBwcASkRHRwwRAABIDATghIsQsSsROsKAwEgL8aS4AAACAASURBVMA2CEiJaJs68CwQAALdIyDFLkhE920BiUDgbBGQEtHZAgLDgcBAEJBiFyRiIA0INYHAKSAgJaJTsA02AIFTRkCKXZCIU2512AYEeoaAlIh6pibUAQJAwENAil2QCA8onAIBIHA4BKREdDiJqBkIAIF9ICDFLkjEPtBFHUAACDRCQEpEjQrjISAABI6GgBS7Iol4XkzpIir/RnmcTCldrGhzNFPwrXfdQv+R0uSCoiSllRK8SimJLihJPx5QjS+0WsxpsfqSy+hE5r7NeaZV+h1F0XeUrp63rnzzmNJVHFF8ldJjKdh+p8X0a4qir2m6+H3ruo9ZQEpEx9TpJGT7MbJZ0eKnBa1KvrOLtZ5P+zJ3qbqi7Ga1oJ9Mn+Plo4pyO93aCb8v9Ji+pDi6pKv0t3Jfub6n6SimaHRDi/VeG2gnk+sKS7FbQyJGNF2si7o3jzS/HlMUv6T0USf44m5nR5IxnSlwVoI6CloL05zAer5n3T+PQzkRbZYzGkcxjab3ZEXnIGBB7HbRTGtaTEcUXUxpsT1/rVDQIxEVT+7t1vOCphcRXUwXtFdTKhXcA36b3yi9ugz0lZ9pOfvmpAYA25EIIsoT2KFHopUtTEhE1fjs9y5IxH7x3KK2UCLiawMbxbDViF1G4pCfe+gEg+qBRARhES6GZhPza6c1AGhJIl7QZP5JgO7wl4eXiDa0Xv5M0+QyI0BK/zi5obvlkwZLTd+nzv0oGtPk9l5PR+rgjROavpnQSC8zxckP9M/FnG5MvWOapA/F6FRNyaVTSmJelrLrFNppvaS7aUJxJiOm0eTPNFFTb8HljJxgxN8m9G0mI6bx7IE2TeQ6cgo8/GW0bARSmjZVeP2Y65XpeUnJNPWWP9S1v1jPeNiUzK9rAyLydI5Ue9wtC7ydOr2Em9mwrU5EbiLi2YnhLWMwNMOL3RpfIx0DySt6bcehiV1eAryk5PWrIhZHE7o1U/QKnTo5NTnExMi/8lkIsxTNM3q+f6vY/rGIGW4g5/OJlnc3ls7f03QyLpbojEy1tMk56k+UfKvz3HhGy00TuZ4cjis9C6F8JvvPZlb8QU0dbtw+r+lNpruqS9me0jK4lKAJGMuMbPwqco6DG59wvOpljRMdAGxHIrLljK9pdH2357U2Br3Z5+AS0dOcJnFc4Lb+QDOVcLIg49mdS0pmH/IOabOi+xvVkTNZ4w6Jnf+Z1g+3OrjHdD1/pA3xOvk3NFt+JuLz+IpmD4qsbHSZKhas6xhdU6oIjtEjoioSwWvzm9UH+nX1v/l6fZVcDiZeFmM84muaP22otJzhJKsNrRc3NIouKbl5n/nhZvU+J1I8Os+ejyhiOxiLiLEp+1k+w1bVBp9oPnlB0egVzbO9Gk/0MLuiWKyT20zviWihU65lkYjyTqiq/cp29e3KsGK3ga9pEhEZfyziLCPUqgG47eOEbu7VfjLfdxrIqckh7l4lfybCqp9zDMccx0zJUbgMk+8vtLr/Qecc26d5Vpr9XfvnZkW//vpITxyrotzCv/P9A4yNzn2l5QybRLCOFbnAtA/bwWX0gKdkt7pQgZ+Uc4L1qLTLyxoJvX6tcvrpDQBqSASPYN3POLmlhyCLk5Dc7/VhJSJOItslf3fZiAPU6gQ3DzQbWzMEaiyQbYbVzFknHZPIsibQ63G6sy61SqhMdq2GRGgylNUXqoNcubym7+pWaOPYoS47JEJ35rZMs8ymE0/2vJskXDwLWVVHbhmdvMSk69fEbWYn3JY6cSJSo6PG8n19+nE+rNht4GvcSTnt4vp77r9e/Ov4jSdzeqIGcrRPi/tgnBjxO8EG9ZfcI1RGX+PNwo5M9ncrRzWxi/OYF89GnUoSEdKRB2U8ANNxa9fPMnl21Qjjg33gx3UVs4nZDMgA9zGxJVLs1pAInsrhap5omV5n0+m58/P1bj8lY7rVYhtpzK4VGVNT2n+j9J23c1otAbxLKU1TSme8ZOGzfHunfx4c9oYju/PNO0CX/Cnc8n+7nsIOu3xxVQchB5yTOLx7pjNnOf5nLjeXw7YVkviopIcts5RUdCmbvNjPc6Wha3yPPyvbgEeYuU3qLaW36T8qpoM5qdokwrO5iU5atzrM2IS+fw4qdpv4GpMIjo+sARq0vV2ukZyaHOL4ktcJcqdp4t+OS88n2YGCOlXZ5d1T9TSRq+WYmU6Wz58lPaycU7qnC9m5wMaZ6wxeMzfLMxGN5Njl/WPdHky+/NsDOZdid0sSoazV7G/vO3+bIykZ07yGIz25XtI8Tekt7znQU+Ob1R1dZ6/8TGimSET6Cz0s3tDYvEoZCFAdCNUkgtl4M3tLnXdWzApade4kK++eIRHVcus6xJIetkwpoLNn9Ejffp5ND13je0rv2jbgh59oOX9H6Vvea8LLSXyfP702C8kPXePi3mcdZt7jvT0dVOw28bVgh9Sg7e1yjeToJhVyiBuXYRKx1cAvqFOVXd49pa4mEZVytZy9kogsrnjWr5yjyMY+GCkefkEsOBeynGBF3Gh6n0p48FZVsk/3pNhtTyLs6aGOLZWM6ViNncQVU+XL/JUfZ4lhQ0/za4p3IBGklyEqA9i3wGHw+iaPJnik5XR8gQBtIDe3XQ6+ShLBJNbzv7xOeznDG2E5evuGe9PP2W2/DfwyRZIMJ0AvqYbkh64FxKhLIBECMAe93HK6nJfv2Eezdvb8PYuri3wjchOfDthZ5JCPHrn3OkGu38kxgQqdSyHbdZzwiNrxX8/fs7p0HVVyOb8wVo4OmeN7r3jaOSeko7Ccwfkrq9+uwxeozgX8PB2dnBOqxlzT9TFu5vqwDqR+d0sS8YVW81fZprbgl2h0hIlkTEfitxaT77C/NBsBydlY9YcmDDyiVbuwU/1WAXeEoQDNA0GaiTAbKyOuV4229QZELxgKg/TGSt4U2XRjpROgvMGzQi6v8fPGSv7+Ed6kmCUnazbDSVa8MarA09jF69LO89q60DVjOBMG1jnQBlpn9UbMfbaxkpc3vM7B1Om1WUh+6Jop7x6ARLh4dHPWwNd4VKuWKbPNg7wB0fqioaydI4r8uGL/V5ueeQOisHGvOod89kiE9j3TeXP91uZuE9v2HgYbVS7j26WWQkJLdJ6/Z1VxHVVy/Y2V3MdwXOV5rhgM5ec5cef6K3IBt4+To+w6bJv5WMKvSg6XDX2eNYmw18708WhCs7n9WptukA6XN4ZGIsqvb6kNctYrXiagLYz1dHkePKEAzXGXSUQ2R0+LW95foer2XoUM+bvaF2DKNHvFszQSd+oQ5PqvSzp46C81U2u4KvhLnW3Na12l53nqkUlZwPDaNlAk7J5uzWtiyq6qV2a9Nmujk6UmSIQFRqeHNb7GndToJU34FU9+RZH1zNo+ptH335vXJd1XvNWDdXL8+14O8fzLLM+Z2cxy+fpvH/bKjBq84skEg20v2aVe5/a/9dh7xdOJKyYVKt4Uefm3+w26pfr9HBciDKFrRuHsoB4/X45b3j07UxLhgtCvs+GRiH7hB22AwLEQOL3Yre+Q3P0Kx0IecoHAbghIsSsuZ+wm7rClJWMOKxW1AwEgsCsCpxe7IBG7+gTKDwMBKXZBIobRftASCJwEAlIiGq5xIBHDbTtovg0CUuyCRGyDIp4FAkBgJwSkRLRTpSgMBIDAwRGQYhck4uDQQwAQAAKMgJSI+D4+gQAQ6CcCUuyCRPSzvaAVEDhJBKREdJLGwiggcEIISLELEnFCjQxTgEDfEZASUd/1hn5A4NwRkGIXJOLcPQP2A4EOEZASUYcqQBQQAAItEJBiFySiBZgoAgSAQDsEpETUrjaUAgJAoCsEpNgFieiqBSAHCACB7FdkAQMQAALDQwAkYnhtBo2BwMkhICWikzMUBgGBE0NAil3MRJxYQ8McINBnBKRE1GedoRsQAAIkziKCRMA7gAAQ6AwBkIjOoIYgILBXBKTYHSyJUAbhHxjAB+AD8AH4AHygGx8IsZLBkoiQMbgGBIBAvxFQyR5/QAAIDA8BKXYHGdGSMcNrFmgMBM4LAcTuebU3rD0dBKTYBYk4nTaGJUCg9whIiaj3ikNBIHDmCEixCxJx5o4B84FAlwhIiahLHSALCACB7RGQYhckYnssUQIIAIGWCEiJqGV1KAYEgEBHCEixCxLRUQNADBAAAvK75sAGCACBfiMAEtHv9oF2QOAsEJAS0VkYDyOBwIARkGIXMxEDblSoDgSGhoCUiIZmB/QFAueGgBS7IBHn5gmwFwgcEQEpER1RJYgGAkCgAQJS7IJENAAPjwABILAfBKREtJ/aUQsQAAKHQkCKXZCIQyGOeoEAECghICWi0oO4AASAQK8QkGIXJKJXzQRlgMBpIyAlotO2GtYBgeEjIMUuSMTw2xYWAIHBICAlosEYAEWBwJkiIMUuSMSZOgTMBgLHQEBKRMfQBTKBABBojoAUuzUkYkPr5S/0dppQbH56+5KSaUqL1Zfm0vf8pGTMnsWcX3WrlJLogpL0Y277ZkWLnxa02uwTimdapd9RFH1H6eqZyJe5T1FWXZvVgn5arCg35SOlyQVFSUor65m9H+6C3+Y3Sq8uKYpfUvrox9qG1osbGkUxjab3tN674oerELF7OGzLNXt+foxY60hm2fZdrng5asuqNo8pXcURxVcpPZZy5++0mH5NUfQ1TRe/b1nzcR+XYreCRHCiUqThZ1quFRqKVPxM0+SSotENLbJr3RsmGdO9JqcscU2L6Yiiiyktnvdp524B2kqT5wVNLyK6mC5or6ZUKrM7fmIy2jzQbBwfNQYrTa+4iditAGfvtzwSsff6AxUeJdYCehz10hd6TF9SHF3SVfqbHrjkCm2WMxoPkPwr7aXYlUnE+p6mo4vgSCdPbjGNZw8OQF21m2RMV/LPQ87unWAYJ5CIMC6hq6FkxNeGN5JRFiJ2Q+18qGsgEYdCtrbe0EwiXzviALxW74oHpNgVSMSGnubXFEff0Gz5OVDtEy0X//9o06iSMQFFe3LpC60WP9JkFGdJNIr8JaE82OPkFb1WszzZ0tGYJrf3xVJCNi14ScnrV5TEUf7MaEK3ZopemVon54mWdzdF+UwPnmUia2nhX/kshFnCGtF0oSbNVf1pPhOV3YtpNPmxZmnLkzn6nqaTsbCcoQlG/CdKvtU4jGe03DSR68mJE5reLWmtR0Y5ppGeWfGTax1u3D6v6U2mu8Jf2Z7qGTrfzTQBC+JX5Qd+PWryz13WYAI/tGUMtmx4sWvNvur2jJMbuls+aZN831S+Yccu+3RC0zcTGpk6fqB/LuZ0Y8d7+lDkVLUUlk6tWLXrZDS9z/WS7szSs/LPP+c5h5ftnKUF7dPfJvRtlk94UOjbE4hxR05EBo9QrH30lkhrc9S2saYw8HX224CIPJ0jzg8ehPmpN9Dh3Dv9i5XDxzSx2ytQjzuTOGzyr8yTYlcgEYcahQaQbnFJMqZFVR0UsZaFbt5npGCzep8nD8NIdaemOvXsmQ2tH24piTmwuYOPSDn/zb1a23+ih9mVRfTq5DxrYjim6/kjbdTSVFAG74nwfcCqf/YhT3brDzSrXNriMhxwX2h1/4NOjKE9ERy8eq1/s6Jff32kp2z9/5ISUS4HKE8fMjYvaDL/RFSaYtV4Z8mVdWTsieT2YTu4jNU+JU+qwE/0g1Il2QWTjJhkGr8JP9/nq8OKXSJ6mtMkjml0fZcTevb5jNwS5dPTlm9uVnR/o/aQad8jy6cz0vms4y7v6PJY5HVyHrTp8/iKZg+KrBSxKpNHXWZ0TakiOEaPiMzenwCJ4LX5zeoD/br6rPfaWPawvexzHqklvh9f0/xpU441RybHzX5jrb4NPtF88oKi0SuaZ3v5OD8w3n7EcJvZOSqiiLElv7388nxe5KV88De8PUxsifqUYhckwkbpIMfagXXSYRG543Oi0Z0aB2r20Gdazr6hiIMzC0bPCfXaeDyZ0xPVyfkfvaGxYhrcCXi/E6yr/xObZn2GyuhrwY2VHLx2cIfq4OSt8eM9Ah7GRpFKEtGgftLtY9fPMnmUZ4TxwT7w47o4GamOp6L9+PEef0qJqLcqh+KuRtk8tpmMB3w64DvPiyldRHrGTxMXd7nYywe+DqEy2bUaEmH7dG0O+aRJUwV59mPNySmHijUfDM4P3Aah/FouU1zhNrNJhGuz28ZFydIRky41A+Xk99KTvb8gxa5AIrTD7n1T3X5wkozZT+17rsUPKq7eCXrt5E6HFHJkDgquxCrXRA6PGpRDq+m8tym9s5dDnID3OkFOfHo6VrVB8e/rpfUL6lRll3dPVdNErpZjRlwMD3+W9NgSNyYRTvtYdbAc59PDr6SDftjxA6cC96TORvfp3p4NKnYzFHnUqvxdLUP+jdJ33htLaunhXUppmlI64yULjomAT2t/sjf62iQi76Ds+LKPdcfmtbBdvrjl+agT3949VahBrOVy2LZCkjny/dyW6d/jQk4MBPQKxh8X1p+VbcAzOTmOcTKlt+k/KpZhvTazbWCxoWt8z/usxcx7vq+nUuwKJKJuT8SaFjcTmqZeMHVkvWRMR+K3EyMFTuaEzG5DgdPAke3gaiRHqZ6/tpumf9N7G6ypWicwvE5QJ5h81qMhBEGdquzy7mXq5m8iVMrVcvZKImrbJ9RmNi4efkEseJmK/cAu7x3X2eg93tfTQcWuDeJ6SfM0LV5311Pjm9UdXau9TqMJzRSJSH+hh8UbGptXpQM+3YhE8CylrYR8vE8SURVrtR2i7+d2TvHvsTk7xlp9G7CgJ1rO31H6lvea8NIu3+dPr81sG/iR0DW+533WYuY939dTKXYFEqE2oshvZ+TrhBFVOdshgZCMOaTM9nW3nMIjPRvE041OoGltso79Qr8l00SOb4WWEVxa8DpBnurk5RW/quB5SKcqmV7wZnXqOqrk8giKsfJ1KSUvmwCEdOTpUE7k9vNceega31OfAn6eju6yll3eOwaJ8AA53mkxlb10lxwzlXgAxqP1kE/nviPNRLTKr85oXmPDccEzaE7HF/Lf+ljLba8gvX6sOTIPEWs6nzj5wW+DgK/42DiPeG3m2KAfDF1z6ihOzpdEqBErb2gLfk8Eb1IpwOrqaFgkwsJR3FCnA1pNl2abB3kDIm8U5BGrWobQm61445T5MqI6OZ/zd5fNxkzVz+mNkdyxOYGhA8kEJ9dvzVywDuJbPFzGt0tNK9rrjVUJl+uokst7BhivL7Sav8q+jClfV87xLUivnUC5/ku9qbViYyUn48zR7TpCni/hVyUnVI++BhJRAc7hbuWbWos2I2dD8x/lzcrLVO/gr/Lp3HdEEmE27hUjZbPZl2O1ZLK3GdPEZs2eCMenORYqYo3X+DnvbB5pfq3etuJ9TLltJtacnML1F3gau8x+gby8O6sYusYAMGFgrNRMq9cGWuc4+YHus42VvLwhkSGQCEbX/pT6XXkmIiutGmROM/Nam0r+/uuJRQdnB4UtfN/HkjH7lrO/+pq9QhiNXtKEX/nyX0HKgjGm0fffm9e+zKtVRtEaOWrd8JbXbFVbeq9vOQGvOlM9VWumZv361etdU0rtfRVGFz7wyjR5xZMJBldRei0sJNd7xdN5zY5JBZOXf3vfWOnpWPLxUBILXTMKZwf1+AViya2iOAOJKLDo9Mj3DbVBznq12u6ss81zE5rp6fK8I/U6pEz33HfsfFlajijFagNfcco0e8XT7ayVcmV7SzHuvy5p46HKZwRex9p//939FtxS/b5dobgKXbOcoLYNVC67p1unH6t6ZdZrMy8vZpJD1yyV7MMznomwYejX8fBIRB1+NUGiim/htHXScB8IHAuB04vdYyEJuUCgWwSk2K2ZiehWyabSJGOalu/fcyAR/WsTaHQIBE4vdg+BEuoEAv1DQIpdkIhetBVIRC+aAUocHAEpER1cMAQAASCwEwJS7IJE7AQrCgMBILANAlIi2qYOPAsEgED3CEixCxLRfVtAIhA4WwSkRHS2gMBwIDAQBKTYBYkYSANCTSBwCghIiegUbIMNQOCUEZBiFyTilFsdtgGBniEgJaKeqQl1gAAQ8BCQYhckwgMKp0AACBwOASkRHU4iagYCQGAfCEixCxKxD3RRBxAAAo0QkBJRo8J4CAgAgaMhIMUuSMTRmgSCgcD5ISAlovNDAhYDgWEhIMUuSMSw2hHaAoFBIyAlokEbBeWBwBkgIMUuSMQZND5MBAJ9QUBKRH3RD3oAASAQRkCKXZCIMF64CgSAwAEQkBLRAUShSiAABPaIgBS7IBF7BBlVAQEgUI2AlIiqS+EuEAACx0ZAit3BkghlEP6BAXwAPgAfgA/AB7rxgRCRGSyJCBmDa0AACPQbAZXs8QcEgMDwEJBid5ARLRkzvGaBxkDgvBBA7J5Xe8Pa00FAil2QiNNpY1gCBHqPgJSIeq84FAQCZ46AFLsgEWfuGDAfCHSJgJSIutQBsoAAENgeASl2QSK2xxIlgAAQaImAlIhaVodiQAAIdISAFLsgER01AMQAASBA2RtVwAEIAIHhIQASMbw2g8ZA4OQQkBLRyRkKg4DAiSEgxS5mIk6soWEOEOgzAlIi6rPO0A0IAAF5FhEkAt4BBIBAZwiARHQGNQQBgb0iIMUuSMReYUZlQAAIVCEgJaKqMrgHBIDA8RGQYhck4vhtAw2AwNkgICWiswEAhgKBgSIgxS5IxEAbFGoDgSEiICWiIdoCnYHAOSEgxS5IxDl5AWwFAkdGQEpER1YL4oEAEKhBQIpdkIga4HAbCACB/SEgJaL9SUBNQAAIHAIBKXZFEvG8mNJF6Oe2RxOazZe0PoSWDeuUjGlYHI9JCKxSSqILStKP+RObFS1+WtBqIxVoc/2ZVul3FEXfUbp6JvJltqmyQZnNakE/LVaUm/KR0uSCoiSlVYOyrR/ZBb/Nb5ReXVIUv6T08YunwobWixsaRTGNpvdHjUVPsdpTxG4tRO0e8ONoF98TNUDsitA4N77QY/qS4uiSrtLfdM6xHljf03QUUzS6ocV6r8nVErL/Qyl2a0jEiKYLmy480fLuhpL4uMlLMmb/sJ1zjWtaTEcUXUxp8bxPHLxEtM+qpbqeFzS9iOhiuqC9miLJy67vjt/mMaWrOKL4KqVHO9dsHmg2Hl4SUrAgdiudZk83d/e9sCKI3TAugaviIOAzLWffUBR9TdPF74GC/b0kxe6WJEIZyCzrG5otPx/FYsmYoyhzskKRiHZr2n3gx7Fmj2j42vCSkMITsbubVzUrvQ/fC0kCiQihIl0LDQLya8cdhEv61l2XYrcFiSCipzlN4pjGs4fyVE2dJnu4Lxmzh6oPVMUXWi1+pImawsqWiC4pmaa0WPE0dT69Hiev6HVyqZ8Z0+T2vlhKyKYrLyl5/YqSOMqfGU3o1kzRK9Xr5PBMki4fKT1+piVPqZkp0X/lsxBmOYtnpFT9KU2NjjGNJj9adoTg82SOvqfpZCwsZ+gkFf+Jkm81DuMZLTdN5Hpy4oSmd0ta61mIHPdIz6z4yxl1uHH7vKY3me4KP2V7WmDnmK6TeBC/Kj9wKslPvBHNkJOQMgix2zZ2N7Re/mzFXkRxckN3y6fcTxC7Nbn1CLFrBtx6EMCxPLBlDM5KUuy2IxF6OjWezEm7MMvp5FMyphPhWwvh9etLSm7eZ6Rgs3pPN6ojNs6kOzXVqWfPbGj9cJstGxmiliWJiKI4oZt7tbb/RA+zK4ojnhGqk/NMT/NriqMxXc8faUOSDN4T4Y9mrPpnH/J1+PUHmjl2+OBwmTFN0gdaK5Jz/4MmQaE9ETzS0Ux9s6Jff32kp2z9/5ISUS6PznnEzti8oMn8E1FpOUPjne2JYB0ZeyK5fdgOLlNFpCvwE/3Axy8/NyMaJpnGb8LP9/kqYrdN7G7MwG10fZcPLDj2MpJN3t6iCt8TY8j3GvZx9nnE7sjk51CO8PHT50wc4oRev04oHuAyBlsmxW47EkF2EmYR3X1KxnSnwTaSPtF88oIiDnZddLOc0TjSnRzj6XQOeu0svqb500YnCW8azCFzdXL+R29orJgGN6MZtbHST0R19X8KgBIqo68FN1YyiWBipKoM1UHk4Md7BDyMjUKVJKJB/dw+dv0sU9ycuQ/82AImSWoUW9F+/HiPPxG7unG2it1P4fi32xmxa9BwcsPRY5eIBwHZ7OXANkIbUCtmEduRCCcAbDHdHA8qEZU6MI2RsyQUImXcoYZG7IyzVa6JHB69qGl2Nd3/NqV39nJIVSLiTtNM0fOSiPrk2QvWS38Gdaqyy7unqmkiV8sR37Yo6bElbpyIHMJg1eGZnZ96JKKkgy7k+EGwovxinY0VRft0C7HLrWH5TyPf4Nk1FW9qGfJvlL6z3pxC7DKwZtYmn8W1cDZPhK6Zm+UBVKP2scv7xzoX8MDJvz2Qcyl225GIponvQOBIxhxI3G7VSg6YBT1Ph4ec2utQnSTBKlnlGslR5dTa6i+Upn/T66sxmSlSR4bXCbYhjkGdquzy7mXq5m8iVC6daTl7JRG17WNhz83hfHr4BbHgaWj2A6cC96TORvfp3p4hdrlpLP/ZxjfWS5qnKb2dqqnxiKLRK5qrvVWIXQbWzNocnEQ4OaIQXz4CifAw4alVe8rZe+TAp4NKRE2m43mka0+Xk17O4Gshh8069gu9wbXJtLzfMPy6UWi2w+sE2Q5eXvGrCp6HdKqSGSARTeTybAVj5etSStJWAuf6vbLBKdFdZiIayfEVt85BIiwwujoM+a+3lHa02GU99CxgFYlg30Psasex4z/kS0Luq8wRoXr4GkgEI6Fey9DfE2FtcrPudnU4LBLBG5Qum22szDY+8SYm3ijII1a1DHFFs4cntbOH7m8Sis2XEdXJ+Zx/AYrZmKlm7fTGSA4OJxHpDt0kHq7fmrlgHczmTt8DuAz7C9ulpmRDxCVEIriOKrlMbBmvL7Sav8q+jMkeyENZ0wAAAtxJREFUjRSzGXYS4fobtM9WJELCr0qOj591DhJhgdHV4Ra+oZYYDha7G72uXviOysXOxmrEbvWm9WPGLu8v45zXlfvuWY7U79YsZ9jr3vo49I2VmQN392U+kjF7xmyP1TV7hTAavaQJvz7JryiyFhnGMY2+/9684um84pU9VyNHfYvd7YRGZl+D94qmk4gUT7mj6+y1VN7z4NevXjObUmrvq2B9zadXpskrnqVg8+qIQnKZ4LLP2q/IMqlg8vJv7xsr/frDr+C6yyU2ETHGOgf1+PlynOLuCUiEi0dnZw1949CxW3p9Wy1lWK94I3YrX/E8auyeK4noLEZbCBoeiagzsr5Dctc86+rDfSDQTwQQu/1sF2gFBOoQkGJXnImoq/CY9yVjjqnTbrJBInbDD6WHggBidygtBT2BgIuAFLsgES5ORzoDiTgS8BDbMQJSIupYjT2KQ+zuEUxU1WMEpNgFiehxo0E1IHBqCEiJ6NTshD1A4NQQkGIXJOLUWhr2AIEeIyAloh6rDNWAABBo842VfUYNiajPrQPdgICMAGJXxgZ3gECfEZBiFzMRfW416AYETgwBKRGdmJkwBwicHAJS7IJEnFxTwyAg0F8EpETUX42hGRAAAgoBKXZBIuAfQAAIdIaAlIg6UwCCgAAQaIWAFLsgEa3gRCEgAATaICAlojZ1oQwQAALdISDFLkhEd20ASUDg7BGQEtHZAwMAgEDPEZBiFySi5w0H9YDAKSEgJaJTshG2AIFTRECKXZCIU2xt2AQEeoqAlIh6qi7UAgJAQCMgxS5IBFwECACBzhCQElFnCkAQEAACrRCQYnewJEIZhH9gAB+AD8AH4APwgW58IMQ+BkkiQobgGhAAAkAACAABINAtAiAR3eINaUAACAABIAAETgYBkIiTaUoYAgSAABAAAkCgWwRAIrrFG9KAABAAAkAACJwMAiARJ9OUMAQIAAEgAASAQLcI/B/BvrinTz0KHAAAAABJRU5ErkJggg=="></p>
</div>
<br><hr><br><div class="question">
<p>A parallel-plate capacitor is connected to a battery. What happens when a sheet of dielectric material is inserted between the plates without disconnecting the battery? </p>
<p>A. The capacitance is unchanged. </p>
<p>B. The charge stored decreases. </p>
<p>C. The energy stored increases. </p>
<p>D. The potential difference between the plates decreases.</p>
</div>
<br><hr><br><div class="question">
<p>Three identical capacitors are connected together as shown.</p>
<p><img style="display:block;margin-left:auto;margin-right:auto;" src="data:image/png;base64,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"></p>
<p>What is the order of increasing total capacitance for these arrangements?</p>
<p>A.  P, S, R, Q</p>
<p>B.  Q, R, S, P</p>
<p>C.  P, R, S, Q</p>
<p>D.  Q, S, R, P</p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">A transformer with 600 turns in the primary coil is used to change an alternating root mean square (rms) potential difference of 240 V<sub>rms</sub> to 12 V<sub>rms</sub>.<br></span></p>
<p><span style="background-color:#ffffff;">When connected to the secondary coil, a lamp labelled “120 W, 12 V” lights normally. The current in the primary coil is 0.60 A when the lamp is lit.</span></p>
<p><span style="background-color:#ffffff;">What are the number of secondary turns and the efficiency of the transformer?</span></p>
<p><span style="background-color:#ffffff;"><img src="data:image/png;base64,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"></span></p>
</div>
<br><hr><br><div class="question">
<p>The graph shows the power dissipated in a resistor of 100 Ω when connected to an&nbsp;alternating current (ac) power supply of root mean square voltage (<em>V</em><sub>rms</sub>) 60 V.</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_19.10.44.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/35_01"></p>
<p>What are the frequency of the ac power supply and the average power dissipated in the resistor?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_19.11.38.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/35_02"></p>
</div>
<br><hr><br><div class="question">
<p>An alternating current (ac) generator produces a peak emf <em>E</em><sub>0</sub> and periodic time <em>T</em>. What are the&nbsp;peak emf and periodic time when the frequency of rotation is doubled?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>A resistor designed for use in a direct current (dc) circuit is labelled “50 W, 2 Ω”. The resistor&nbsp;is connected in series with an alternating current (ac) power supply of peak potential&nbsp;difference 10 V. What is the average power dissipated by the resistor in the ac circuit?</p>
<p>A. 25 W</p>
<p>B. 35 W</p>
<p>C. 50 W</p>
<p>D. 100 W</p>
</div>
<br><hr><br><div class="question">
<p>A capacitor is charged with a constant current <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi></math>. The graph shows the variation of potential&nbsp;difference <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>V</mi></math> across the capacitor with time <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi></math>. The gradient of the graph is <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G</mi></math>. What is the&nbsp;capacitance of the capacitor?</p>
<p style="text-align:center;">&nbsp;<img src="data:image/png;base64,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"></p>
<p>A.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>I</mi><mi>G</mi></mfrac></math></p>
<p>B.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>G</mi><mi>I</mi></mfrac></math></p>
<p>C.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>G</mi><mo>×</mo><mi>I</mi></math></p>
<p>D.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mrow><mi>G</mi><mo>×</mo><mi>I</mi></mrow></mfrac></math></p>
</div>
<br><hr><br><div class="question">
<p>A rectangular flat coil moves at constant speed through a uniform magnetic field. The direction of the field is into the plane of the paper.</p>
<p>                                            <img src="images/Schermafbeelding_2018-08-13_om_19.08.23.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/34_01"></p>
<p>Which graph shows the variation with time <em>t</em>, of the induced emf <em>ε</em> in the coil as it moves from P to Q?</p>
<p><img src="images/Schermafbeelding_2018-08-13_om_19.09.09.png" alt="M18/4/PHYSI/HPM/ENG/TZ2/34_02"></p>
</div>
<br><hr><br><div class="question">
<p>The graph shows the variation of an alternating current with time in a <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo>.</mo><mn>0</mn><mo> </mo><mtext>Ω</mtext></math> resistor.</p>
<p style="text-align:center;"><img src="data:image/png;base64,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"></p>
<p>What is the average power dissipated in the resistor?</p>
<p>A.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mo> </mo><mtext>W</mtext></math></p>
<p>B.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn><mo> </mo><mtext>W</mtext></math></p>
<p>C.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>16</mn><mo> </mo><mtext>W</mtext></math></p>
<p>D.&nbsp;&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32</mn><mo> </mo><mtext>W</mtext></math></p>
</div>
<br><hr><br><div class="question">
<p>Power <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi></math> is dissipated in a resistor of resistance <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math> when there is a direct current <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>I</mi></math> in the resistor.</p>
<p>What is the average power dissipation in a resistance <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>R</mi><mn>2</mn></mfrac></math> when the alternating root-mean-square (rms) current in the resistor is <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mi>I</mi></math>?</p>
<p>A.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi></math></p>
<p>B.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mi>P</mi></math></p>
<p>C.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4</mn><mi>P</mi></math></p>
<p>D.  <math xmlns="http://www.w3.org/1998/Math/MathML"><mn>8</mn><mi>P</mi></math></p>
</div>
<br><hr><br><div class="question">
<p>A current of 1.0 × 10<sup>–3 </sup>A flows in the primary coil of a step-up transformer. The number of turns in&nbsp;the primary coil is <em>N</em><sub>p</sub> and the number of turns in the secondary coil is <em>N</em><sub>s</sub>. One coil has 1000 times&nbsp;more turns than the other coil.</p>
<p>What is&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{{N_{\text{p}}}}}{{{N_{\text{s}}}}}">
  <mfrac>
    <mrow>
      <mrow>
        <msub>
          <mi>N</mi>
          <mrow>
            <mtext>p</mtext>
          </mrow>
        </msub>
      </mrow>
    </mrow>
    <mrow>
      <mrow>
        <msub>
          <mi>N</mi>
          <mrow>
            <mtext>s</mtext>
          </mrow>
        </msub>
      </mrow>
    </mrow>
  </mfrac>
</math></span> and what is the current in the secondary coil for this transformer?</p>
<p>&nbsp;</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p><span style="background-color:#ffffff;">The input to a diode bridge rectification circuit is sinusoidal with a time period of 20 ms.</span></p>
<p><span style="background-color:#ffffff;"><img src="data:image/png;base64,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"></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;">Which graph shows the variation with time <em>t</em> of the output voltage <em>V</em><sub>out</sub> between X and Y?</span></span></p>
<p><span style="background-color:#ffffff;"><span style="background-color:#ffffff;"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqIAAAEKCAYAAADJpjftAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEFsSURBVHhe7d0PeFTVvS/8byIHJSaIUV6ZgJVDkKgXBEnEo2INqEEvKjxwkKOVhBNqsQLWciEIxft6b9UqyQF9wVNtTQ4EyjmomYt/qBJMjC3akidBKNxCUqAokMEHjSGJ4Y9k9rt/e/YOk8n8S7L/TML30yc1WbOZ2bPWXr/1W2vv2ROnqEBEREREZLN4/b9ERERERLYKk4ieRm3RQ4iLi0PKknI06qVERGSdc9UFGK7GXYm97X8mYUlROWqbvfqWREQ9X+hEtPkveHf9TtyWeRuw4jW8XXtaf4CIiKyViuySLyFXTvl+zqBux4M4vvwuZP6yggsDRNRrhEhEvWis3IyVFWMxe8FMjMJ2bNp+WC2NFfpq7aQi1AbdKS+aq1dhQsp8uI+d1cuIiHqqvnCNm4mcWenwrP8IVY3OR2NvbREmxT2EolCLFM2VKJiQgTnuL2Jo7CCiWBMiEa1H1dZSeFzDkTrxbszMAko3fYYDMRNN+mLQ0OFwlX6I7QeCBEFvLd5c9iqwMBtZg/vqhUREvcCo4RiS6Pzl/fGDhmKMK9QixWnUvlmAxfgRnsi6mh9GIKKQgseHxr9g6/pquGbdjYwBwzB+5ng1Ew2R9DkiHolDhmMUDqHmaLNeZvCisaIYy/fciwUPj0GiXkpE1HOdhadyE9aVjEbhK/+MEbGQ2SWmIG0UsKemDoFRGI2foXD5PuQumIabYiBpJqLYFSRCqIlc1UdY70nHrEk3oj8uwfDx9yIrxk7P+2bjddh1+Ov2++StxdsvvYk0roYSUY91EMXTf+D3QaWLkXLLfBS3nMPJxu9iIw7HX4mhY1Lg2XUYx9vt0GnUvv0aVqTlcjWUiCLqGCO8R/DR796DJ+sJzMm8UiuKH36b7/T88mJUxMC1SZqgs/GzOLZ5DZbveQjP/CTDlNVQGQSIiOwV+GGlVjTVlCAvbRsWTn0em2Pi2vdEDEkbpgbhAzjq90l+77Hf46Xlh5D3zCykm7QayjhM1Ht1iBLeA2V4vWivmnXOQdpF+mz8ousxp9QDeEqxtape39JhwWbjzbvwn6s/xKjnspHZn/NwIuot4pE4Yip+8cxsuDwf4p0dX+nlTtKv1fccwOHjRmLcgM//swhFo84vZBARhROQrZ3Gge0fohQzUFhzym82rv6cLEOeqxrrt/4lRm4dEjgbP4tjpcVYiXl44aERPB1ERL1MPPpfn4F79L+c1/Fafe+xcvz7SiD/hWmxcR0rEcW89qHCexjbN22HK/dfMGn4JXqhrv+NmBRDtw7pMBvXVkP/jPt4cTwR9UpeNO6rwjYMwKAB/fQyZ7W/Vt+3GvrBfbl4+KYB+hZEROG1y9i8Bz7DptIUzPrRDzG4Qy6XjIxJWWri9x5+99GRGLhY3n82foK3CiGiXs3rKcOLv1zb7vp9x/ldq99Y68ayxcDCJyYGGT+IiILzCxfqbPZdN0pdWZiUkayX+YtH/3FTsTDzGxS9XoYD3mZUF0xAXNzjcHvO6dvYq202Xvk7vG7yxfFERM4J/NR8HC5KWYhjk/8DNSWz2057+74OdDhy3Ed8BXZru1a/Am+8/u/Yk7cQP0nnaigRRS9OkQtAeyrvfhTddz8Kz16Fv/edg4oPck2/LkkGgJ5cRURE1pFvuctGWuEJZP59IGZVFCN3RMBlXSZgHCbqvXr28qE2Gx+Azyoux8LuXBzv9aD6/Wp4YuHSVyKiHkO/Vv+zGmDhIjzU5ST0LDzV5aj28CuZiS40PXtF1CweN3LuOIQn9y9Ceh+9TMeZOBGR1Y7AnfNTHHryv7AoveMdoBmHiXqvXn1BpdezDcsmpGhBLCXnVVSqs23tmqocNzzq477fi+D+3WoUH1yMjDm+ciIiMoH3GMqXTdJicFxKDlZVenC2Qwx240j1JuQVb8HijEWOfeaAiJzRixPRr1Hx8rP40+TNaFK+xXujPsDUl7cHuQfqANz6owXITs1HVeE0uPRSIiLqDi8aK17Fo3+6F1VN36PpvTF4d+pqfFzfMdHskz4TK7InI7+qANNcAaeliKhX68WJ6Ck0HL8ckyfcgEQ12Rw9IRMJxxvwnf4oERFZyYvvGuqRMPmHGJ3YB4mjf4jJCfVoaGrVHyci6tWJaD8MGPQttnz8VzSjAbs/rkDLoAFITEpG6rYq7Gs8ja++OIwWfWsiIjJTPC4dkIyWLX/A7uZzaN79B2xpSUbykIGMwUTUphcnolci86lnceuWqUiKuxwP7LkPm58aj8tTxmHmPe/hrstuRt47x3ybXnUD7kxdyWtEiYhME4/+mfOw4dYPkZH0D0h6YBce3LwAd91wW8cYjIEYeWcCrxElugDxU/MR8NOaRETOYhwm6r169afmiYiIiCh2MRElIiIiIkcwESUiIiIiRzARJSIiIiJHMBElIiIiIkcwESUiIiIiRzARJSIiIiJHMBElIiIiIkcwESUiIiIiRzARJSIiIiJHMBElIiIiIkcwESUiIiIiRzARJSIiIiJHMBElIiIiIkcwESUiIiIiRzARJSIiIiJHMBElIiIiIkfEKSr9dwoiLi4OXa2iU6dOoaamBocOHUJzczO+/vprDB06FFdddRWuv/56JCcn61va5+jRo/jrX/+q7Y/sW1paGhITE3HDDTdgyJAh+lb2qa+vx759+/DVV1+hrq4OF198Ma644goMGzZM27d+/frpW9qntrYWe/fuxdmzZ7V9iqU227VrF8aMGaOVjxw5EiNGjNB+J+rNuhOH/fvP/v37tdjSt29fx/qP/7jwzTffaGWxFPNkv6677rqYGRdisc3OnDmDlJQUbb9+8IMfODIu9CZcEbWAdKI1a9YgISEBr776qlYmnSgpKUn7/ZNPPsG9996LvLw8fPrpp1qZlaQTud1uTJ06FfPnz9eCjj/5W8rlcdlOtreavKa8fwnAUh9CklCjjqTepP6kHqU+rWa02bhx45Cfn68NWv6MNnvsscdsaTNRWlraoc1cLpf2X9k/qT/ZX7vajKgnkX4q/WfatGlt/efyyy/XYrET/Uf24YUXXtDi2saNG/XS86RMHpNtjP21krzn4uLidjFP6kbqSMg+SN1JHdoV8+R1JMZKrDXGBf82k/2U/bVrXJA6MMZyo81kjJKxSkiZjGFyLNnRZr2WrIhSaJ2popaWFmXdunXKzTffrJSUlCjqzEl/pCPZdvv27cqUKVOUxYsXh922Oz7//HNtf+Q11BmdXhqcPC7byfby76wg71NeQ963vH+ph1BkW6lH2R+p13Dbdoe8hrTz6tWrI7aD0WY//vGPlSNHjuil5pJ2MI6LSO0g+yD7LXW0detWvZSod+lMHI61/iNx6/nnn9deQ2JNuDgmjxkxT/6NVTFP3qu8hrz3SHFM6tCI2ZHGkK6SfZCYaowL4UiMNtpM6soKUu/+rxGpzWSfZVupJ6vG8t6MiWgE0QZAoyN15UA0Ak+kDthZRkfqbFIpwUb+nfx7M8l+yPN2NqmU+pR6NTv5k32Q55SfrrSZHBtmt5kxkelKm0kQt3LwInJKtHHYiKWdTSqt6j8Sr4xY2pnnlW2N5NXsmGfE0s4mlUbyanbyZzxvZ9vMGHPlx+w268qxINsa8duqhL23YiIaQTQB0Ag2chB2lZH8mZHY+AebrnZQ+XdmdnJjxtjZBMufMciYEZiNNutOsm3Gc/iT55H67uqMWtpJgqfZgZnIadHEYaP/dDU+mN1/JOZ1d7JqxnMY5D3Je+tsUuxP6tZ4DjPI83Q3pne33f0ZMb2zSbE/Y6wzo80uFExEI4gUAI0D14yDzqznkk5pRjCVf2908u48l9ExzQgUZjyXUc9mzOyN5+puYDajng1mPhdRLIgUh2Ot/xhxqjsTb4M8V3eTUXkv8p66G6eEWc9ldptJfXfnucwaf4WZz3UhYCIaQbgAKCtXZh9s3T2AzezcBnk+WSnoCuN0vLwvs0jddPU5zQzIhlhsM+M5iXqDcHFYzkRZ1X+68pwSD7qbOAaKtZhnPGdXzwIap+Njqc26E8ODMY4DnqaPjIloBOECoNmd22Ccpu9s0JEVPrm2xczOLYyg09kVRKNzm7EqEKirg49csmBFm3U16BgDTFdPx4ditJkV75XIbqHisFX9R3Sl/0i/MzuhMXQ1eTMSNLN1NXmzYnHCIAsmnV00kfqUcdPsa1+Flcdnb8JENIJQAdBIhKzS2aRSEiDZVys6tzCCTrSJlpEIWdG5DZ1NKmVfZJ86G8ijZQSdaJ+/s3XaWcaKvRUTASI7BYvDVvcf6cfy/J1JtKya6BrkueU1otXZmNRZRlIZbaLVlTrtDHl+GTc7c41nV5LXzrA6V+gNmIhGECwASuDrTOfrKgk40Zz66Ern6wp5/miTYzs6nxHUokm0ZNCyMlE3dCaoWZ2oC2OgiKbNiGJVsDgs/Sea+NgdnYn1nYmPXdWZWG9MRK1K1A3SBtEmx1Yn6qIzsd6u+GhHrO/JmIhGEBgAOxMIuivaQNKZQNBd0STHRiCwOlEX0QYSuwKB7IfsT6Tk2FidtYPVM34iqwXGYSPps0M08dWupE9EmxxHE6vNEO2YKKugVifqBomvkdos2lhtBjvHxJ6IiWgEgQEwmgPcTNK5wyUsdh/g0QRcqR87Z3+RAm6kOjRbpIBr56AljIBr1+sRmc0/Dtt9PEeTsMhEz46kzyCriuEml3at9BmM5DjU60VTh2aS15MYHO4SgEh1aDa7c4eehIloBP4BUBII+TuaJX8zhetQdid9IlyHMpIwOxntEiwZNwKg3UlYuHaRAGj16alAdq4gEZnNPw470X/CxbVISZgVIsW1SEmYFSSpC9UuTiRh4ZJxGcPlsWBjhlWM5NiuZLwnYSIagdMBUIQKdE4EQBGuQzkRAIWsRgRrGwmATpyWjrU2E061DVF3GXE43KTTanJWJVj/kQQr0mlpK4RK7pxI+kSotnGyzUItCIQqt1q4Cc2FjIloBLEQAEWwjiNlTgRAEaxDSZkTAVBIYhc4w3W6zSQxDtZmTgRAwSBIPZURh4P1KbvIJDJYzHOyT8lry34ZjDjoX2anYAsC8newRQI7BJv4O7kYIKTN5Lih85iIRuAfAJ3qTCKw88jfTicV8vr+q6KBQdFuMkD5t1GoVVK7SAIc2GZOBkAhiTCDIPU0xoQy1vpPqFVSu8hr+0/+JQY6tRggpG2kjYzJv9OLASJw8h/4t92kzZweu2NNvHqQUAT19fVYsGABHnnkEb3EfiNGjEBmZiZ27typ/f3GG2/giSee0H53itqhsXHjRu33Tz/9VNtH+XHKfffdh+LiYq29Tp06hTVr1jjaZsnJycjOzsYHH3yg/V1aWoqnn34a/fr10/52ghoAkZ+fr/9F1HNIrHG6/6iJZ1v/qa2txYkTJ3D77bdrfztBXlv2Q36ExD/ZR6dI20jMM8aF999/H6tXr9ZioVOkPl588UVtTDh69CgqKiq0scIpxvEiYyb5MBGNQix0JmEEQaMz3XHHHfojzpAOJfshQVD2S5IcJ/kHQUn+pk6d6nibZWVlaUHw2LFj2iDhZAAURhDctWuX9l+inkIWA2Qy7iRjoi1JRCwsBgiJebIvsk8DBw50dDFAyORf2qqurs7xxQDhv4izefNmxyczQhZx3nnnHf0vipNlUf13CiIuLg4333wzPvzwQ8eTGiHJ1bBhwzB+/HhMmzZNL3WO2+3G9u3bcejQIa2TO01WQ6+44grcf//9+Ld/+zfHg7LIy8vDuXPntHabP3++XuocGbAkCK5YsUIvIYptEodlMSBW+s/rr7+O/fv345NPPnE8qZGVvjvvvFNLQpctW+boCq1BEtAvv/wSAwYM0PbJabJY8tRTT2kLFC0tLY63mZCxXGJwLIxRTmMiGoEEQCLqHIYVMhPjMFHn9ZQ4zEQ0AgmAsVZFsbZPsbY/skKQkJDAOgpD9idWVgaIImH/CY8xL7JYjHmxVkdOYSIaQSweKLHYwVlH4XF/iLqO/Scy1lF4bLPYxQ8rEREREZEjmIgSERERkSOYiBIRERGRI5iIEhEREZEj+GGlCHgxMRGRsxiHiXovrogSERERkSOYiBIRERGRI5iIEhEREZEjmIjGuuZKFEwYhRz3Eb1A5/Wget0STIiL066fiotTtylwo9pzVt/AXF5PJdYtmaS/lvqTkoMCdzU8Xn0DnIWnej2WTEhp2yYlpwDuag/aNjFVI2q3rUJOSqj9iWafreJFc/UqtW2Gt283m9sMHjdy2l7r/M/wgmqc0zawuM2aa7FtXTkOhnkyb20RJqUsQ3mj5Y1C1CmxF/P8NaC64H71NR+H2+PrzRq7Y0zg66l1tKrS//3bXEdB9qdgWy2a9YeFPeOCMQYEtE9U9WFmnck4+TbKD57W/+4oJmKwfFiJQnO0ipr2KIXZI9V9SFWyS77UC0WrcrJsqeJClpJXsk9pkpK6UmVppktBVqFS0+rbyjRNO5R89bld2WuUHXVn1IKTSk3JUiUTLiUzf4f2+uoOKXku9e+8EqWmSd2B1qNK2dIsdd9nKIU1p2QLE51RjpbM83v/Z5S6smfb749yQinLS1eQuVQpqTmp/Rtjm6zCfWoNWkivr/btZnObtb1emPq3tM189e/KK1OPllBOKTWFMyJsQ+RAHI65mOevVWmqWqnuC9TXmquU1H3fVm5vjPlWqcqfrNbRWmVfu/c/Wcmv+ta3ia115NsfuOYpJUelzYx6Slfyyk74NrFlXFBfd99aJdsV2D6qaOrDtDrTjwfXUqXsZKh3FhsxmIloBM4komrnqCpW8rLmKr/+zUIltUMiqnemdsHFd0B1OPC7zQhumWpw8aV4Pvo+aAf59/o27TtKa02hktVh303Quk8pzAoMrl8qJdmpClLzlSp5+3pnbhdcjH+XXaLU6UXm04OhNkj4v3c720zozx0yCAVPVE1rM62uUyMEd6mT26yfGFCPZ28cjsGY569tohuY6NgbY3zv1T/JU2lxF0pqfpXyvdUxJtD3VUp+qlon/vE9sMzqcaG1Tqlam6dkZa9UfqPGtvb1Hk19mFlnetuHnYTERgzmqflY5HkfT2dswEVLnkHuWJde6OfcF9hZUg3XmKEY1NaCl2DY6HFIRRV27GvQy8wQj/4TX0Cd8jEWpSfqZeISXDYwSd3XejR814y/7fwTPK7hGDqor/64+i+HjcY9qQexbcff0KiXmSL+OuRurYOyNRcjQhzB5/62EyWeFIwZeuX560/ih2D0PWnAtirss+Q0hJyO+Q8sWgw8l/8ztS382NpmohlHaw4B92Tg+v7BKqnFujZrLMeSIddjTulBlM65HkOWlAd/rsa/YOv6wZg5fmiQa4SOwJ0zHHETluC3BTlIaTtF9Soqa/diW1tZCiYscaO2WW/PoKcmt55/nCiiGIx5bRpQ/dr/xmLMRn7ebXqZztYYcxoHtn+IUlcWJmUk62Wq/hPxUp2CA4vS0cfKGNNF1o4L5+DZ/L+QsTYBS17MwdiB59+zTzT1YVadfY3yJeORNuctqEEYaUNCnHoPG4PV9+N+XI2hk7Dkty+2uwxuVeV+7Pe/NG7CMrhrjT0LdmnBKmxre7yjYCMUOS1pNJ6seQsvTBwcvIFaTuJEC5Aw8DIk6EUiPilZDTgNON5wSi+xkPcodm+rAVKH45qB53DyRJO6Q8m4LMFvj+MvRXKqC57jDfhOL7JGI2rdv8bq4n7IXTEDN/XxqlVUr3bpJAy87BJ9G9EHSckD9YHEgsSkuQqvLXoVyP+fmDdhiF6os7vNjEHp3DtYZAQLCSjrKvVroU5b12b9M/GLDUvhci1F2clW1L00Ef31h87zorHqI6wfdS/GD/dvowAV67Gx/lFUt7aiqWol0orn45a0h7Hhop+oZWdQVzYXWDEfC96sVZ/xNGrX/gwZs/8vJld9C0VR/82+RcDKe5H5ywrbBz3qZRyPeecnuvkFP8WEwETH1hhzDk31J9QXuxgNe37tl5Aswbq2axktjDHB9EnFhMcnqwllOf50TK6JVetr9x+w5eBI5E5Jx1Xq39aOC/FIGvlT1Lz3DCa6ApNQEU19mFVnV2LiL1Ygz5WOvLITUOpewMQOCxJRxmCUYsXGM8ipPgOlaQfy07Zh4S3XY+KGvpinlrXWlWIp1mL6grdRq1aft3YDZmcsQeXkzWiSs+5Ne/AcipCV+WLI61AD94xiQWIq0kd0HLrbfKcGFY/+u5/4pAEYpP9uLbWDf/4B1pcCWcvuVxO/U2hQO0gHaucZMMg/JJpPu9A67jKkTf8VarIfx9xbXepB7VWrqB4dq0gNOAP8Zu+mMlYq5qHg8Qz4r6NobG4z76Hd2HZQ/aXPRDxT2yrnNdWA8G9IK38Cj6ysRDOsbLOzOH74ADyjhmNIYqgQ49sG7VZvgnDNxjNP3wVXfDwSb7oPs7JcatkDyJlzq1rWF64f3o/JqR6UfvJXfIUT2PvJTvXxGzH2Wuk/6r+5Lgfr6pQQyTBRtGIg5vlNdB9Pv1wv9GNrjPkWX+w5Ahx8FvN/Ay0hURR1YvhMAtZmPIaV1VI3dtfRAKQvLEDhKDemD7lYTYwvQlLGQtTkvYJV066xYVxQ482I0RgRMuZFUx/m1Zn3+GHs8gxD2pAOo5EuyhgMNZl9Zp4vuU68EQ/OGq+VzcqZiXFqWbzrVkyfnKbmq5XY+9VpfLW3Uk1dUzBu7DDfOJioTgTW7QmRDPuEfXmioLSAmI+a3DUomn2dowdR/IhcbJUkq/UoNgx+F7ekL4Rbmw3byX+l4l+RHjIQ2ceol7p1ObjO2J/E63DflAxULC7Am7VWrpr7Lgtof4owgPcwtm86hlmTbgyfIPqvDBjBOOTlBlfhlin3wuX5FR5dsBJvuyt4Sp7M4XjMizDRdYprHta88JiWkADqxDBzpjpZ3ImVb+60/wyE9wu4H5uB5YN+hX1Nvsm3rNbNrvwJphTI5PtCoo5JRw9gT8Ap/naijcHtVpCNpD0Dt1w/wFfUTh9cdUsWcl3VWPHo/0DB2++gPMwpeYP9/Ym671J1hhvk0lFvkzoj1n+3TPNeFM2bowbExXjvlakYrB1B/dQEIchB6f1Ond216H9YLH4wMmfPRJbHjde3HsYlamfpWEXn0KTOiE3XbqUiWOdUOdlmHZxAfdM/WNdm3q9xeFcDRqWlhBwwvQc+w6Y9d7a/vqzb+mLwtBdQUVaC5wZtw4zpE5CWdJG1t4uh3s/xmBflRNfWGKO//4ShuOYqv0RHnyx6Snbib+fsraPGitcxv+hizMqZ3Db5jnfdgdmzxqqT7yKUerxqFdk4LnQQTX2YVWeRz0pZE4NlKJ6KVyo+Rslzg7BlxlTclXZZxFtkhTiiKaYlXIaBCUDLiZPwPzS9TfU4CDUYDeinl5jL6/kUq+Y9jDlf/jPKNs7zC4j6Rfwt9TjZ4nekqZ2n/qAHLrVjXaoXWcl3CsqDg/Wn0O+yZCSgCSdO+t8/Tb+uyZWMAZead+ifq/kDXqs4qAa7W5CkX5z9DxmL1bY4iOLpP0Bcjhseh9ostH7WtVlzHWr2DGj/gYB29Nl62FP3XdUfIyZOQ+5LW6EoJ1FTVohZX67E9AdWo8LJ++RRjxQbMa8FNR+/iwpsweKMy7X4EheXhIzFFepjr2N6ynW++xXbGmMSMSRtmP57EKnJSIq3s46M0+5Brv/UVvBqcKjurFpF9o0LHUVTH2bVWaSzUlbGYLlEIRPTcl/Cx3Kdfk0ZCmcdx+Lpc/Fyxdf6Nu1ZWetklT7XYOz0dHh2HcbxtmP1NA7trlQDTrhrQrpKPWj3r8O/po/HQi0gLw24GDsB1469FS7PARw+fv60uO86RVfYlbEukU9lp8QhJeDT2L6Z/0jcOexK9L12LKa76rDr8Nfq3uuMDxuY3Pn6pC/CAbk8wO/n+6p8pKr/yy75Esq6aXDZ2mZetYqWISUuA0vK/Tu+PvN33Yqx115pWZtp1yYh4NO07dSjausnGDXzNgy3NAJJUpqNpxY8CAS8T6LwYinmJSJ90cft4ouiNKEqP1N9bC5K6vZj3bSrbR4X+mLQ0OFwHazE7kN+SZ2aMMnKnS8BsrOO+mDgNcPViBvIWO1Mw7CUS9DHxnGho2jqw6Q6085KXRzmtLtdMViS0onIfWousuGr92CYiPZIyciYlAVX6So8v3avOvdRg2bt71G4fjtcuf+CSWE/Add53mOb8bOJs1GMeSjZEBiQRTz6Z9yNWa63sPz5Tdgv1+U178fmwk0odU3D3EnDzD3Q+o/FQwsnw7P+d3h7v56KGq+XmYsnsq5GfP8bMWlWCkqX52Ottk0jajcXY33pFcide5fFnS8YO9tMbY9xU7Ewsw7r123xtYfK6/kj1q4/hNw1c5HZv49FbabPtPW/ggp7y5BukGvE5oxqfysR9T198M6nQOatGJ0S4lopogAxF/OiYnOMyZyLNbn7sPyl3+OYFmL0GLtnGtY8OV5NgOytoz43zcCK3CZsefP/tH2TlC/m7URmfi6yXH3UscPJcSGa+jCpzrSzUmf0P4KwKgbjLI655yNF7tDi3q9fl9uI/R9swTaMxT2jQ3xsTp1dURhOV9H3VflBbmiv0m+c6/t2DfmRb2IoVqq0bwExU5Oizrz11wj2k6nf9Fm/CX/bjZbVn8w8ZW1VnTU3ypX3X5Kvf3uF/IxUsvM/9H0Tha61boeyNk++kcLYJkvJW7tDqbPhzr1B2822NvNpratSSvKzFZfxeq5sJb+0Rv/mKWFNm7V9m0vgza512s2Zw37bhwj4ggKNXhbmhtUd3rPFdUz2kLa0T4zGvHaMfQy4Ub3NMUZpqlFK/fqbK3ulUqp9Y5HB5joK2J9gMd+ecSFE+0RVHybUWdu3MaltEuRbk6KLwd8rdSVz1ecwjnf/Mv/3FfBeO4zNkfc/Tv5P3ZBCkOtxWEVERM5hHCbqvew/e0BEREREpGIiSkRERESOYCJKRERERI5gIkpEREREjmAiSkRERESOYCJKRERERI5gIkpEREREjmAiSkRERESOYCJKRERERI5gIkpEREREjmAiSkRERESOYCJKRERERI5gIkpEREREjmAiSkRERESOYCJKRERERI5gIkpEREREjmAiSkRERESOYCJKRERERI5gIkpEREREjmAiSkRERESOYCJKRERERI5gIkpEREREjmAiSkRERESOYCJKRERERI5gIkpEREREjmAiSkRERESOYCJKRERERI5gIkpEREREjohTVPrvRERERES24YooERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETmCiSgREREROYKJKBERERE5gokoERERETkiRCLqRXNtBd4uyEFKXBzitJ9RyCnYhPLaRn0bIiIy27nqAgxvi7v+PxKD3aj2nNW3JCLq+YIkomfhKf8lHkhbgPfwCCqaWqEoClrrXsOYPc/hrsyfo2g/k1EiIuukIrvkSy32Gj++GPz/IiN9IdzHmIwSUe/QIRH1Hnsfyx99HcgvxKuLJmFEom+TeNft+PnqV5CHIsz52duo9WrFDjmN2qKHEDepKMR+eNFcvQoTUuYzYBNRr6DF4FcLkZ/mxvz/bzucXg7w1hZhUtxDKKo9rZcEaK5EwYQMzHF/oUZkIqLgAhLR0ziw9b9Q5BmPWQ/eiES9tE3/8XjqvS0oeWI0kvQiZ/TFoKHD4Sr9ENsPBAmC3lq8uexVYGE2sgb31QuJiHq4xBvx4Kzx8Kx4Ex95zumFzogfNBRjXNuxafvhIInmadS+WYDF+BGeyLqaH0YgopDaxwfvYWzftB3Iuhfjh1+iF/rrC1f6f8e0KelwORpZ4pE4ZDhG4RBqjjbrZQYvGiuKsXzPvVjw8JiOyTQRUY+lT8JRhR37GvQyhySmIG0UsKemDoFRGI2foXD5PuQumIab9LNqRETBBCSi36H+oAcYNABJMR47fLPxOuw6/HX72bi3Fm+/9CbSuBpKRL1OPBIuS0YCGnC84ZRe5pD4KzF0TAo8uw7jeLsgfBq1b7+GFWm5XA0looh6bowIOhs/i2Ob12D5nofwzE8yuBpKRGSZRAxJG6YG4QM42nw+E/Ue+z1eWn4Iec/MQrpJq6Fy1wAi6p3aR4k+/w+G3Z4KdaqNpli/ujzYbLx5F/5z9YcY9Vw2Mvt3PwAy+BFRbPGi5WQ9WnA1Rl1zuV7mFP0yAc8BHD5ufCi0AZ//ZxGKRj2BOZlX6mVERKEFZGsDMfLOsUCoDwGJ5lqUu38fA/eyC5yNn8Wx0mKsxDy88NAIng4iol7oLI4fPgCP61aMvTZBL3NKx2v1vcfK8e8rgfwXpmEEgzARRSEgVFyC4ZP+Bbmu7Vj/7l86XoDevBdF86bjrtU1QFIfvdApAbNxbTX0z7iPF8cTUW+lfQjoLbhm3Y0ME876dFf7a/V9q6Ef3JeLh28aoG9BRBReh0gWP/h+PLdhLrB4DuYVbEWtttoo37S0FQXzHsacbeNQ+Os5pl3703X+s/ETvFUIEfViegxe8DOsSHsWG54aj/76I47yu1a/sdaNZYuBhU9MxGAGYSKKUpBw0ReuiUuxsepXuPPESqQlXYS4uIuQlLYIe0YtR1nFKuReZ4TAZlQXTFAffxxuB+5p1zYbr/wdXjf54ngiIuccRPH0H6ix1fh6T4nBK3Hizl+hauNSTHQZdwRxNgafv1a/Am+8/u/Yk7cQP0nnaigRRS9Oke+O66m8+1F03/0oPHsV/t53Dio+yDX1uiQZAHpy9RARWUu+5S4baYUnkPn3gZhVUYzcEcHuQd09jMVEvVfPXj7UZuMD8FnF5VjYnYvjvR5Uv18NT6zfKYCIKKbo1+p/VgMsXISHupyEnoWnujwGPgRLRHbr2SuiZvG4kXPHITy5fxHS/T6DxVk4EZEdjsCd81McevK/sCi94x2gGYuJeq9efUGl17MNyyakaEEsJedVVKqz7XPVBRie44ZHfdz3exHcv1uN4oOLkTHHV05ERCbwHkP5sklaDI5LycGqSg/OdojBbhyp3oS84i1YnLHImWtdicgxvTgR/RoVLz+LP03ejCblW7w36gNMfXk7GvVHzxuAW3+0ANmp+agqnAaXXkpERN3hRWPFq3j0T/eiqul7NL03Bu9OXY2P6zsmmn3SZ2JF9mTkVxVgmsvpWwMSkZ16cSJ6Cg3HL8fkCTcgUU02R0/IRMLxBnynP0pERFby4ruGeiRM/iFGJ/ZB4ugfYnJCPRqaWvXHiYh6dSLaDwMGfYstH/8VzWjA7o8r0DJoABKTkpG6rQr7Gk/jqy8Oo0XfmoiIzBSPSwcko2XLH7C7+Ryad/8BW1qSkTxkIGMwEbXpxYnolch86lncumUqkuIuxwN77sPmp8bj8pRxmHnPe7jrspuR984x36ZX3YA7U1fyGlEiItPEo3/mPGy49UNkJP0Dkh7YhQc3L8BdN9zWMQZrXy+dwGtEiS5A/NR8GPykJhGR8xiLiXqvXv2peSIiIiKKXUxEiYiIiMgRTESJiIiIyBFMRImIiIjIEUxEiYiIiMgRTESJiIiIyBFMRImIiIjIEUxEiYiIiMgRTESJiIiIyBFMRImIiIjIEUxEiYiIiMgRTESJiIiIyBFMRImIiIjIEUxEiYiIiMgRTESJiIiIyBFMRImIiIjIEUxEiYiIiMgRcYpK/50CxMXFgdVDROSsrsbio0ePory8HHv37kV+fj6GDBmilf34xz/G6NGjcdNNN+H222/Xt74wffrpp/j888+xe/duvPHGG3opsHjxYowcORITJ07U6u1CderUKfzxj39EVVUVKisr8c4772jlN998MzIzM3H33XcjIyMDycnJWjl1HhPRMLoa/OTA3blzJz755BP8/e9/b+vcEvz+8R//UTto77jjDvTr108rvxDV19drHfujjz5CbW1tW+eW4PeDH/wA48ePx5gxY7SyC5X/IFpRUaH9LQOCBD8OEHQh6WwslpiSl5en/T5t2jT80z/9E66++uq2mCuPHz58GG+99ZaWgD333HPIysrSHrtQuN1uvPjii1pCPmPGDAwdOhQjRozQHpMx7MiRI/jzn/+sbSflMn4Zj18IpA4KCwuxYMECPP/887jzzjtxzTXXtMVcGcO+/PJLbN++HcXFxcjOzsYjjzzChLQrJBGl4DpbPS0tLUpJSYmizpQU9cBV1ANUqamp0R9VtN+lTB6T5169erX2by4k33zzjaImm1odyftXZ+KKGvC0x6QupI62bt2qqEFP20bq80IjdTJlyhTtZ926dVqdSL0J+a/8LeXyuNST/zFG1BtFG4slhkh8ldghsTYa0n+kH8mPEYt6M3mPxvuNNnZIXRox+0IYsyQGG+/XiL3hSJ1ITJZ/I+MXdQ4T0TA6k4gaB64EwWgOXNlGDvLOBMyeTpJKqVP5bzTB7EIbIIxBVBLMaI8JY4CQf3chDBB0YYomFhsJVlf7grGIILG8tzLiRVcm+EZ8kjqOZozrqYyEsivHgRyDEr9lbKfoMRENI9pEtDsBTJIt+be9+cCVACaroF1NKI367c0Ju9SLcRx0dhA1BggJgBdCwk4Xnkix2L//dIeRqPXGWGO8t+4m2sYCSm+MNfLeuptoSzyW55CfzsbyCxUT0TCiSUSNA7c7ndI4cLsbRGOR8d66u2JnJOy9cYAwBtHuntIxEnYmo9TbhIvFkjSY0X8M0n/k9XrTyqiRhJoVG4xktDclWsZYbsZ78h/3KDImomFESkStOHB7UzJq9nsyErbelIya/Z7MHnCIYkGoWGxV3OxN/ciquGnm+Oc0mcRIHZn5XnrjmG4VJqJhhEtEjUBl5rUycuDK6dWuXL8Ti2Q2KKfkzSRBVdqlNwwQ0t5yDJl9cbvxQabeMEAQiVCx2IoYY5A43NP7kTGmWPUBGqn7np5oydk2q8YUY7Xe7ElAb8NENIxQwc/KZEieUw7cnn5aSIK4VbNlYxLQ0xMtK4O4lQM0kd2CxWI74oD0oZ58elX23cr9l7rvyeOV1Ym6MC4r680f8OouJqJhBAt+dhy4PT3RMjqelauWksD15ETLykRd2HGcEtklMBYbK00Sa6wk/ainJlqyz3aMI3a9jhXk7JEd44hdr9NTMRENI1giatcBZfVM1ip2JUA9OdGyckXdn/E6nIlTTxcYiyU22nVKWBItiTU9KdGSfbUzge6J45WdK5XGeMVT9MExEQ0jMPjZfeDaGUjMIit9ds38jPboSQOEkJVQu64D5kycegP/WOxEv5c+ZFefNYPd/d4Yr6xeoTaTxGE7FzJ68sqx1ZiIhhGYiNp94MrsqSfNxCVBlzqzeqXPn6yK9KSL5Y02tYscO5yJU0/nH4vleLb7TIgR23rC2QWn9lXaRMbInsDuOGzoaRMau8SrByxF4dNPP8WJEyds/T7i22+/Xftu3w8++EAviW2vvfYa1Jm4rd9/Lt/tK9/zK98dHevku4t//vOfY8WKFXqJ9eS7tdXgh/z8fL2EqOeSOCzs/l54+f5wdcKLjRs36iWxS/ZR9tXu7zyXNpEx0mijWCbx0M44bHj66ae17/eX76mn85iIRsmpA1edYWoHriQxsUwSwc2bN2PGjBl6iT0k2ErnfuONN/SS2CUTiszMTG1yYSdjQuN2u/USop5J4rBMrJwgk94FCxbEdBIh+yYTc9lXJ/SESa8kyhIP7Y7DQsar7OzsHjGhsRMT0Sg4eeDKa0ryEuuropIISkIoK3B2u++++1BRURHTq6IykZAJhUwsnNBTJjREoRgrbTKxckJPWBWVfZNEx+7VUIPRNrG8KiqJslNxWBhn8RiLz2MiGgWnD9xYTyIkAZREUBJCJ0jyG+urok6thhqMCc3OnTv1EqKexcnVUEMsr4rKPsm+ObUaapA2euedd/S/YoskyAMHDnQsDgtjVbSnXHJnByaiETi5GmowkohYPXBLS0sdWw01GKuisXrazMnVUIO8fqyfNiMKx6nVUIOxKiqxJta8//77jlwbGkjaSBYnYvEMlcS/2bNn6385R66n5Rmq85iIRiAH7pQpU/S/nCNJhCznxxpjFu7UaqjBWBWNxdNmMplxcjXUYLx+LJ82IwrliSee0H9z1tSpU2MuiZB9WbNmjeOroQZZ8Yu1M1RGYuz0ZEYYi0s8Q+UTJx+d13+nAHFxcVoSKh/CiQWPPfaYNpuLhY5kkOAn5s+fr/3XSZIUX3HFFfjmm28cXxXwJwPXs88+izFjxuglzpEkdO3atfjtb3+rlxDFPonFRNQ5PSW9YyIaBoMfUecxpJDZJBbH0nEVa/sjWEfhsc1iFxPRMHjgRsb9iYx1RNQ97EORsY7CY5vFLl4jSkRERESOYCJKRERERI5gIkpEREREjmAiSkRERESOYCJKRETUCbH4AZNY2yfuT2T8oJIPE9Eehp07PAabyBj8iIgoVjARJSIiIiJHMBElIiIiIkcwESUiIgrg9VRi3ZJJ2k3HtZ+UHBS4q+Hx6hvgLDzV67FkQkrbNik5BXBXe9C2iWUaUF1wv/qaj8PtOaeXqbweVK9bggnGPseNQk6BG9Wes/oGJgt8PbWOVlX6v3+b6yjI/hRsq0Wz/rCI3K5m8KK5epW6HwHtE1V9mFlnjajd9jbKD57W/+7IW1uESSnLUN5oSYtEhYloLGuuRMEENZC4j+gFOluDjd0dJwrNtdhWkIOUMK9lT7AJJhYGiHPwuB8//97bfiagoNoIyTa0mbTTunIcDPOEsRAEiTpQY+/KR6Zi6fEHsaPuDBTlJGrWDMaW6Q/gkZWVvsSmcTtefmAJKsetQU1TK5TWo9gweBumZ/wMa2tDD/zdJ0nOf2DR4i363wYvGitW44HZuzCuZB+aFAWtdSsxeMt8ZMzegFrTu5ga61Y+hgfKb8Cv9fdfNvs4Ft7yGFZWN/g2sbWOfPuTsfQ7LDgqbdaKpvfGYEvWI/hl+df6Nl+j4uUnMLsyHSU1J9VtzqBuwzCtXWev3W9S7FPbZ/96zHtgISr0kjbR1IdpdaYeD+UvIjNnJzCwr14W6DQObP8Qe2bdjYz+DqaDCoXkaPU07VEKs0eq+5CqZJd8qReKVuVk2VLFhSwlr2SfogYbpbWuVFma6VKQVajUtPq2Mker0lS1UsnESCV75XalTp67aZ9Skpel7tdkJb/qW99mJ8uUPJdLycwrUdSOo/6zo0rZUtlmhlJYc8q3jVlaDysluWq9ZC5V1EDi91p++6OcUMry0s9vo5xR6sqeVd+HS8kq3Ke+K6sY9QV1f+YqJXXft5Xb12ZCf//hntvyNvPtgyuvTJEWCO6UUlM4I8I2RHbHYqO/ZqoxRXqrQe9XrqVK2cnv9W3a95fWmkIlq0PMNlnTDiVfYkeHOBOs3/v6WPvtzOF7r+lKXtkJvUSlxRUoqflVyvdt9WhTHX1fpeSnqnWSXaLU6UUdyvS4124caN2nFGap9en/77qqtU6pWpunZGWvVH6Td1tAvUdTH2bWmd72YccYOWZus3hcjIwrojFHX6mavgZnx6uHnl56Xj2qtpbCkzUTc6Zeh0S1JN51B2bPGg+UVmLvV/6nAbqrHpVv/g4VqTl4csHtcMnRkngdpv1iCfJcW7DyzZ1olFlX1UdY7xmPWXP+O0YkqhvFD0bm7JnIwk58sveE76lM4j1QhteLvkHWrGxMHdFfe62JC+YiG1vw2scHob37xr9g6/q689ugL1yZMzErS62iT/6Kr2QbKzRX4bVF+R1nwba2mcr7NQ7vqoNrzFAMCtrDbWgzbR8aMCotRXu/wTXjaM2xCNsQ2S0e/Se+gDrlYyxK9z8yL8FlA5MATz0avmvG33b+CR7XcAwddH61KX7YaNyTehDbdvxNjY1WaED1a/8bizEb+Xm36WW6c19gZ0l1QL+/BMNGj1PHkSrs2KevUprCt5JW6srCpIxkvUzVfyJeqlNwYFE6+qDFoToK7dzfdqLEk4IxQ688fzo4fghG35MGbKvCvm6dmTkHz+b/hYy1CVjyYg7GdliFjKY+zKqzr1G+ZDzS5ryljjFzkDYkxFknbawcjJnjhwY5PW6cWZuEJb99ETkp+pk17fKL/di/bdX5sgnL4K419izY2bZV2Nb2eEdBhylykOd9PJ2xARcteQa5Y116oR9bg82VmPhSFZQDi5DeRy8SCZdhYIK6q8cb8J3NwSZ+RC62KnXYmntdyIPX2mATSqwMEKrmOtTsScA9t1wLScM7srjNGsuxZMj1mFN6UI2B12PIkvLgzxc2CB6BO2e4GuCW4LftLsN4FZW1e/0uzUjBhCVu1DbrbRr0Eoit5x8n6irvUezeVgOkDsc1A8/h5IkmNRYm47IEv6M3/lIkp7r02Gg245Q8kF/wU0wITHRaTuJEi7pLAy+DGp7bxCclq3GmAccbTuklZjiHpnp1wppwMRr2/NovIVmCdW2X95y2t476pGLC45PVGF+OPx2TS57U+tr9B2w5OBK5U9Jxlfp3y8l6NfolYeBll/j+jaYPkpIH6hOM7sSJeCSN/Clq3nsGE10BbaOJpj7MqjN17P7FCuS50pFXdgJK3QuY2OHUu74gMepejB/uXx+BSrFi4xnkVJ+B0rQD+WnbsPCW6zFxQ1/MU8ta60qxFGsxfcHb2uUf3toNmJ2xBJWTN2uXhyhNe/AcipCV+WLIS7AC94ycljQaT9a8hRcmDg7eOLYGm+C8h3Zj20E1Ho+6BgPtDjaBmvfD/fLrKHbNw4qHR6khxepgE0wsDRBGIt4P5955si2Bs3WA6J+JX2xYCpdrKcpOtqLupYlBEuIog2DFemysfxTVra1oqlqJtOL5uCXtYWy46Cdq2RnUlc0FVszHgjdr1Wc8jdq1P0PG7P+LyVXf+q4R27cIWHkvMn9ZYeqEiC40ah///AOsLwWylt2Pm/qcQoPaTzpQ+9CAQf693ETaGZdX1SDzP/F4+uV6oZ/v1Fji0X/3E580AIP0383zLb7YcwQ4+Czm/wZaQqJdb/lMAtZmGNeI2l1HA5C+sACFo9yYPuRiNe5dhKSMhajJewWrpl2jjqdetYrq0bGK1LFhgN+qbpfFI3HEaN8ZpqCiqQ/z6sx7/DB2eYYhbUio801ncfzwASDkmTODmsw+M8+XXCfeiAflTJ5aNitnJsapZfGuWzF9cpp+du80vtpbqaauKRg3dpjvTFeiOhFYtydEMuwT9uXJAYmpSNdOJ4dga7AJpgGfv+tWD7QZWPbgf1O7sAMBWaMmHUUPIS7pekxfUYfsxQ/jVm0WanWwCSKmBojTOLS7Euo8AX3u/CVqZUYqCdmvb0D5A3YNEL4A5xk1HENCBuUog6BrNp55+i644tUgf9N9mJXlUsseQM6cW9WyvnD98H5MTvXol1ycwN5PdqqP34ix10ofUv/NdTlYV6eESIaJoqRfdlOTuwZFs0OfjbGOccZlHgoez4idS1lc87Dmhce0hOT8JVA79cu2bOb9Au7HZmD5oF9hn3zIR/uwVilmV/4EUwr0D5hdMNSJ09ED2BNw1qsd72Fs33QMsybdGCE2+i/qGONoBm65foCvqJ0+uOqWLOS6qrHi0f+BgrffQXmYU/IGJqLUCcbK3xfILcnH7BHhlvOtdglG5L6pB5uVGPzuDKQ/5sYxsxc7I4q1AcKolz1YlztS3x9JyCZiyj37sXiZ24JPzwaSaz8PhblGVRVtEPRftTUS5XsycH3QmfVVuGXKvXB5foVHF6zE2+4KnpKn7mvei6J5c9Q+vhjvvTIVg7VDr596LAYZiL3fqZO8Fv0Ps/ifcflXpIea3F2qTmyDXM3lbVInwvrv5tHff8JQXHOVX6Kj91FPyU787Zy9ddRY8TrmF12MWTmTcZ1eR75r8ceiYnERSj1etYqS0bGKzqGpoV7/3UrR1IdZdRZ5McB74DNs2nNn+2t8TRA/eCpeqfgYJc8NwpYZU3FX2mUR71oT4oimmGVrsPGnBkPtlhT5ajQsxCvaqQ5hZ7AJzvjgj6fov7D1wFkbg00sDhARHKxHk9fiNovig0rWBMG+GDztBVSUleC5QdswY/oEpCVdZO2txKhX83o+xap5D2POl/+Mso3z/Pq4/sGllnqcbPE7stQ+VH/QA5favy7Vi7qvBTUfv4sKbMHijMvhu/Y5CRmL5WORr2N6ynW+W/zp1+63nDip/ovzvE31OAg1Bg3op5eYIRFD0obpvweRmoykeDvryDgTFuSSLG0FrwaH6s6qVZSMBDThxEn/2yDp17u6kjHgUitTomjqw6w6i7QYoK+Yhj1r1VVyiUImpuW+hI/lbFxNGQpnHcfi6XPxcoVxG632rKx1soKtwcZwFp7KX2PexKX4cvY6bFw4zi/BsDPYhGIEmxOob/LaGGxicYCIhsVtpn1YakD7D4u1Y2UQ7I8RE6ch96Wt0O79WFaIWV+uxPQHVqOC9yqlqMnEex3+NX08FmpJ6NKAD6Ak4Nqxt8LlOYDDx8/fC9h3/bzL5DtBJCJ90cfa2Z/zP02oys9UH5uLkrr9WDftajUMXoOx09Ph2XUYx9sOdeNSnXDXCnZFXwwaOhyug5XYfcgvzqoxRCazvgTIzjrqg4HXDEfHu8wYCxBpGJZyCfpcOxbTXXXYdfjr8xNT40NolsQjf9HUh0l1pi0GXBzmjJPcyeUTjJp5G4ZbmgVKUjoRuU/JnW189R6MpbtAFrA12IhG7C/6KdJved6XhD53j+82Tm3sDDZeNJYvQ0pcBpa03aBY6MHG9d8wbFBfG4NNLA4QctuODMQF3iTeGCCmj8W1faxtM+0ieQTc1qUdu4KgJKXZeGrBg0DAeyUKx3tsM342cTaKMQ8lGwKTUBGP/hl3Y5brLSx/fhP2yyUgzfuxuXATSl3TMHfSMAcG12RkTMqCq3QVnl+7F82STNf+HoXrt8OV+y+YFPaT0Z2lvv/MuViTuw/LX/q9fklUI2o3F2P9nmlY8+R4tffZW0d9bpqBFblN2PLm/2n7ohCv549Yu34nMvNzkeXqo4aEGzFpVgpKl+dj7X65dlHf59IrkDv3LsuTssj1YVKdaYsBZ/Q/ggh7x5LuOItj7vnqGD0JS9z79ety1Rzigy3YhrG4Z3SIT0WogyeF4HT1fF+Vr6SGvKH9SCW7cI/SpP7dVFOi5GW6FFduiXLU1LvSnlGOlsxTXwvhn1u/ibEre62yT26Obtz03jVPKTl6Rt/IJPrNnNteq+39pyqZ+Tu0m8Wfv/F0rlK4T26VflKpKVmq3Zg/t+SwxTfubVLURDTEjYztaDO/LyHQXkvoN/T3bw/L2kx/r9pNv0O8Me21I904/0ulJDtVQWq+UtV2H269LNQNqwO/7EAYXwyRuVKp0o4X6onsjcVGH5Ybxgf7ydRvdK/2q6pirR+3PZaZp6ytqrM4xohgcUal31Dd96Ua8iNfWlGsVNWZHIcNTTVKaX62NkbI67myVyqlRt/T2FxHAfsD+RKRtTt8X8aia63boazVvpQl9DbdF6J9oqoPE+qs7QtK1DYJ8oUh2g3yw8VozfdKXclc9TmM492/zP99BbxXOQZL8pVsdXyJdv+ZiIYhFeik4Imoyq5gYwzyba8T8NOWJNgbbFrrqpQS/2DjylbyS2v0pMvHnmATTCwMENIeJUq+9s1cvtezc4Bo+9aowG9d0UUXBLuQiKp/djg2rB6IyRbSlkTUO8XJ/6mdnIKQa/5YPUREzmIsJuq97L+MhYiIiIhIxUSUiIiIiBzBRJSIiIiIHMFElIiIiIgcwUSUiIiIiBzBRJSIiIiIHMFElIiIiIgcwUSUiIiIiBzBRJSIiIiIHMFElIiIiIgcwUSUiIiIiBzBRJSIiIiIHMFElIiIiIgcwUSUiIiIiBzBRJSIiIiIHMFElIiIiIgcwUSUiIiIiBzBRJSIiIiIHMFElIiIiIgcwUSUiIiIiBzBRJSIiIiIHMFElIiIiIgcwUSUiIiIiBzBRJSIiIiIHMFElIiIiIgcwUSUiIiIiBzBRJSIiIiIHMFElIiIYpqiKPpvRNTbMBENg8GPiIiIyDpMRImIiIjIEUxEiYiIiMgRTESJiIiIyAHA/w/MdiSYRiLDGgAAAABJRU5ErkJggg=="></span></span></p>
</div>
<br><hr><br><div class="question">
<p>Which two features are necessary for the operation of a transformer?</p>
<p><img src="data:image/png;base64,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"></p>
</div>
<br><hr><br><div class="question">
<p>A capacitor is charged by a constant current of 2.5 μA for 100 s. As a result the potential difference across the capacitor increases by 5.0 V.</p>
<p>What is the capacitance of the capacitor?</p>
<p>A.  20 μF</p>
<p>B.  50 μF</p>
<p>C.  20 mF</p>
<p>D.  50 mF</p>
</div>
<br><hr><br><div class="question">
<p>Which of the following reduces the energy losses in a transformer? </p>
<p>A. Using thinner wires for the windings. </p>
<p>B. Using a solid core instead of a laminated core. </p>
<p>C. Using a core made of steel instead of iron. </p>
<p>D. Linking more flux from the primary to the secondary core.</p>
</div>
<br><hr><br><div class="question">
<p>The conservation of which quantity explains Lenz’s law?</p>
<p>A. Charge</p>
<p>B. Energy</p>
<p>C. Magnetic field</p>
<p>D. Mass</p>
</div>
<br><hr><br><div class="question">
<p>The plane of a coil is positioned at right angles to a magnetic field of flux density <em>B</em>. The coil&nbsp;has <em>N</em> turns, each of area <em>A</em>. The coil is rotated through 180˚ in time <em>t</em>.</p>
<p><img src="data:image/png;base64,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"></p>
<p>What is the magnitude of the induced emf?</p>
<p>A.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{BA}}{t}">
  <mfrac>
    <mrow>
      <mi>B</mi>
      <mi>A</mi>
    </mrow>
    <mi>t</mi>
  </mfrac>
</math></span></p>
<p>B.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2BA}}{t}">
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mi>B</mi>
      <mi>A</mi>
    </mrow>
    <mi>t</mi>
  </mfrac>
</math></span></p>
<p>C.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{BAN}}{t}">
  <mfrac>
    <mrow>
      <mi>B</mi>
      <mi>A</mi>
      <mi>N</mi>
    </mrow>
    <mi>t</mi>
  </mfrac>
</math></span></p>
<p>D.&nbsp;<span class="mjpage"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\frac{{2BAN}}{t}">
  <mfrac>
    <mrow>
      <mn>2</mn>
      <mi>B</mi>
      <mi>A</mi>
      <mi>N</mi>
    </mrow>
    <mi>t</mi>
  </mfrac>
</math></span></p>
</div>
<br><hr><br>