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<p class="paragraph-P1">Physics 2 Exam 2 Test Prep</p>
<p class="paragraph-P2">by Tyler Clarke</p>
<p class="paragraph-P2"> </p>
<p class="paragraph-P2">Helpfully enough, the physics department published a test outline! There will be,</p>
<ul><li><p class="P3" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>A question on GlowScript (for the uninitiated: GlowScript is Python for WebGL-based visualizations).<span class="odfLiEnd"/> </p></li><li><p class="P3" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>A question on electric fields of distributed charges.<span class="odfLiEnd"/> </p></li><li><p class="P3" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>A question on potential difference.<span class="odfLiEnd"/> </p></li><li><p class="P3" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>A question on circuits.<span class="odfLiEnd"/> </p></li></ul><p class="paragraph-P4"> </p>
<p class="paragraph-P4">There are a bunch of old practice exams from whence can be pulled sample questions that align with these. Lets go through a few!</p>
<p class="paragraph-P5"><span class="text-T1"/></p>
<p class="paragraph-P6"><span class="text-T1">Im not going to include the GlowScript problem, because GlowScript is literally just Python and because the GlowScript questions are </span><span class="text-T2">long</span><span class="text-T3">. </span><span class="text-T4">If this is a thing you really want to practice, consider reading through a bunch of </span><span class="text-T3">GlowScript</span><span class="text-T4"> programs to get familiar with the quirks of the language. Main point of consideration: its an incredibly stupid language.</span></p>
<p class="paragraph-P5"><span class="text-T3"/></p>
<p class="paragraph-P7">Electric Fields of Distributed Charges</p>
<p class="paragraph-P8"><span class="text-T5"/></p>
<p class="paragraph-P9">First off, very helpfully provided by one of my classmates on their own dungeon trawl:</p>
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"/></div><div style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div>This “single question” actually has three parts, as is customary in this hellish class.</div>
<p class="paragraph-P8"><span class="text-T5">Part one asks us to break up the slab into an infinite number of infinitely large charged discs with thickness </span><span class="text-T6">dx</span><span class="text-T5"> and charge density </span><span class="text-T6">pdx</span><span class="text-T5">. </span><span class="text-T7">Then, w</span><span class="text-T8">ere asked to find the integral representing the net electric field at some point </span><span class="text-T9">x</span><span class="text-T8"> much larger than L.</span></p>
<p class="paragraph-P10"><span class="text-T5"/></p>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P11"><span class="text-T5">Because the electric field of a flat infinite disc is </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object1"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mfrac>
<mi mathvariant="italic">pdx</mi>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
</math> </span><span class="text-T10"> </span><span class="text-T5"> a constant, related to the charge density </span><span class="text-T10">and completely ignorant of distance from the plate (think about it: does distance from the plate actually </span><span class="text-T10">change anything if the plate is infinitely large?) </span><span class="text-T5"> </span><span class="text-T10">we know that </span><span class="text-T11">the field of each plate</span><span class="text-T10"> </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object2"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mi mathvariant="italic">dE</mi>
<mo stretchy="false">=</mo>
<mfrac>
<mi mathvariant="italic">pdx</mi>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
</mrow>
</math> </span><span class="text-T10">. Integrating </span><span class="text-T12">dE</span><span class="text-T10"> is absurdly easy: </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object3"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mrow>
<mrow>
<munderover>
<mo stretchy="false"></mo>
<mn>0</mn>
<mi>L</mi>
</munderover>
<mi mathvariant="italic">dE</mi>
</mrow>
<mo stretchy="false"></mo>
<mrow>
<munderover>
<mo stretchy="false"></mo>
<mn>0</mn>
<mi>L</mi>
</munderover>
<mfrac>
<mi>p</mi>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
</mrow>
<mi mathvariant="italic">dx</mi>
<mo stretchy="false"></mo>
</mrow>
<mrow>
<msubsup>
<mrow>
<mrow>
<mfrac>
<mi mathvariant="italic">px</mi>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
</mrow>
<mo fence="true" form="postfix" stretchy="true">|</mo>
</mrow>
<mn>0</mn>
<mi>L</mi>
</msubsup>
<mo stretchy="false"></mo>
<mfrac>
<mi mathvariant="italic">pL</mi>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
</mrow>
</mrow>
</math> </span><span class="text-T12">.</span></div>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P12">It also wants to know the direction, which is just (because we know x &gt;&gt; L) the unit vector of the x-axis
<!--Next 'span' is a draw:frame. -->
<span id="Object4"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mover accent="true">
<mi>x</mi>
<mo stretchy="true">^</mo>
</mover>
</math> </span>. That gives a final answer
<!--Next 'span' is a draw:frame. -->
<span id="Object5"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mfrac>
<mi mathvariant="italic">pL</mi>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
<mover accent="true">
<mi>x</mi>
<mo stretchy="true">^</mo>
</mover>
</mrow>
</math> </span>.</div>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P12">Part 2 of this question wants to know the magnitude and direction of the electric field on the other side. Because the electric field here is constant through all of space, this is also quite simply our answer from part 1 multiplied by -1:
<!--Next 'span' is a draw:frame. -->
<span id="Object6"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mrow>
<mo stretchy="false"></mo>
<mfrac>
<mi mathvariant="italic">pL</mi>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
</mrow>
<mover accent="true">
<mi>x</mi>
<mo stretchy="true">^</mo>
</mover>
</mrow>
</math> </span>.</div>
<p class="paragraph-P12">The final <span class="text-T13">part of our “single</span> question” wants to know the magnitude and direction of the electric field <span class="text-T6">inside</span> the slab.</p>
<p class="paragraph-P13">This is an interesting one.</p>
<p class="paragraph-P13">The Obvious Solution™ is to just set up <span class="text-T6">two</span> integrals: one for the infinitesimal discs in front of our x point, and one for behind, and algebra from there. Seems reasonable:</p>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P13">
<!--Next 'span' is a draw:frame. -->
<span id="Object7"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mrow>
<munderover>
<mo stretchy="false"></mo>
<mn>0</mn>
<mi>x</mi>
</munderover>
<mfrac>
<mi>p</mi>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
</mrow>
<mover accent="true">
<mi>x</mi>
<mo stretchy="true">^</mo>
</mover>
<mrow>
<mi mathvariant="italic">dx</mi>
<mo stretchy="false"></mo>
<mrow>
<munderover>
<mo stretchy="false"></mo>
<mi>x</mi>
<mi>L</mi>
</munderover>
<mfrac>
<mi>p</mi>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
</mrow>
</mrow>
<mover accent="true">
<mi>x</mi>
<mo stretchy="true">^</mo>
</mover>
<mi mathvariant="italic">dx</mi>
</mrow>
</math> </span></div>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P13">This boils down to
<!--Next 'span' is a draw:frame. -->
<span id="Object8"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mfrac>
<mi mathvariant="italic">px</mi>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
<mrow>
<mover accent="true">
<mi>x</mi>
<mo stretchy="true">^</mo>
</mover>
<mo stretchy="false"></mo>
<mrow>
<mo fence="true" form="prefix" stretchy="false">(</mo>
<mrow>
<mrow>
<mi mathvariant="italic">pL</mi>
<mo stretchy="false"></mo>
<mi mathvariant="italic">px</mi>
</mrow>
</mrow>
<mo fence="true" form="postfix" stretchy="false">)</mo>
</mrow>
</mrow>
<mfrac>
<mover accent="true">
<mi>x</mi>
<mo stretchy="true">^</mo>
</mover>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
</mrow>
</math> </span><br/>Which reduces further to
<!--Next 'span' is a draw:frame. -->
<span id="Object9"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mfrac>
<mrow>
<mn>2</mn>
<mrow>
<mi mathvariant="italic">px</mi>
<mo stretchy="false"></mo>
<mi mathvariant="italic">pL</mi>
</mrow>
</mrow>
<mrow>
<mn>2</mn>
<msub>
<mi>e</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
<mover accent="true">
<mi>x</mi>
<mo stretchy="true">^</mo>
</mover>
</mrow>
</math> </span>. <span class="text-T14">This </span><span class="text-T15">is</span><span class="text-T14"> reasonable! At </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object10"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mi>x</mi>
<mo stretchy="false">=</mo>
<mfrac>
<mi>L</mi>
<mn>2</mn>
</mfrac>
</mrow>
</math> </span><span class="text-T14">, this is 0 as expected, and it seems to point in the right direction as x approaches each extrema.</span></div>
<p class="paragraph-P14">I was mildly surprised to check the answers and see all of the above were correct. This was a deceptively simple problem.</p>
<p class="paragraph-P14"> </p>
<p class="paragraph-P15">Circuits</p>
<p class="paragraph-P16"> </p>
<p class="paragraph-P17">On one of the tests from Spring 2022, theres this little gem of a problem:</p>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P17">
<!--Next 'div' is a draw:frame. -->
<div style="height:3.0839in;width:5.9319in; padding:0; float:left; position:relative; left:0.0711cm; top:0.0991cm; " class="graphic-fr3" id="Image2"><img style="height:7.8331cm;width:15.067cm;" alt="" 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"/></div><div 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<p class="paragraph-P17"><span class="text-T16">This one (surprisingly) only has one question, and it</span> is pretty simple: having waited long enough for the capacitor to charge and the circuit to reach steady state, whats the current through <span class="text-T17">each of </span>the bulbs?</p>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P19">Its immediately obvious that there are two loops: battery 1 → bulb 1 → bulb 3, and battery 2 → bulb 4 → bulb 2. This means were dealing with identical loops, each with the resistance of two bulbs in series, which is just 2R. Ohms law is helpful here:
<!--Next 'span' is a draw:frame. -->
<span id="Object11"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mrow>
<mi>V</mi>
<mo stretchy="false">=</mo>
<mi mathvariant="italic">IR</mi>
</mrow>
<mo stretchy="false"></mo>
<mrow>
<mi mathvariant="italic">Emf</mi>
<mo stretchy="false">=</mo>
<mi>I</mi>
</mrow>
<mn>2</mn>
<mi>R</mi>
<mo stretchy="false"></mo>
<mrow>
<mi>I</mi>
<mo stretchy="false">=</mo>
<mfrac>
<mi mathvariant="italic">Emf</mi>
<mrow>
<mn>2</mn>
<mi>R</mi>
</mrow>
</mfrac>
</mrow>
</mrow>
</math> </span>. Because current must be the same at any point in a <span class="text-T18">series circuit</span>, this is the current in all of the bulbs.</div>
<p class="paragraph-P21">Potential Difference</p>
<p class="paragraph-P21"> </p>
<p class="paragraph-P22">Diligently hunted down by my auspicious peers is this precious pearl:</p>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P22">
<!--Next 'div' is a draw:frame. -->
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"/></div><div style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div>There are a bunch of steps before we can do any actual potential difference math.</div>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P22">First, we need to know
<!--Next 'span' is a draw:frame. -->
<span id="Object12"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<msub>
<mi>Q</mi>
<mi>i</mi>
</msub>
<mi>,</mi>
<msub>
<mi>Q</mi>
<mi>v</mi>
</msub>
<mi>,</mi>
</mrow>
</math> </span> and
<!--Next 'span' is a draw:frame. -->
<span id="Object13"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<msub>
<mi>Q</mi>
<mi>o</mi>
</msub>
</math> </span>. These are pretty easy to predict: because the net charge inside the volume <span class="text-T19">must be</span> 0, <span class="text-T19">and the charges must otherwise match up to produce a zero field,</span>
<!--Next 'span' is a draw:frame. -->
<span id="Object14"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mrow>
<msub>
<mi>Q</mi>
<mi>i</mi>
</msub>
<mo stretchy="false">=</mo>
<mrow>
<mo stretchy="false"></mo>
<mn>24</mn>
</mrow>
</mrow>
<mi>Q</mi>
<mi>,</mi>
<mrow>
<msub>
<mi>Q</mi>
<mi>v</mi>
</msub>
<mo stretchy="false">=</mo>
<mn>0</mn>
</mrow>
<mi>,</mi>
<mrow>
<msub>
<mi>Q</mi>
<mi>o</mi>
</msub>
<mo stretchy="false">=</mo>
<mn>24</mn>
</mrow>
<mi>Q</mi>
</mrow>
</math> </span>.</div>
<p class="paragraph-P23">The electric field vectors at each area marked with an “x” are also easy to find, and must be as follows:</p>
<ul><li><p class="P24" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>at R: 0 (the electric field inside a charged shell is 0)<span class="odfLiEnd"/> </p></li><li><p class="P24" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>at 3R: <span class="text-T20">pointing away from center</span><span class="odfLiEnd"/> </p></li><li><p class="P24" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>at 5R: 0<span class="odfLiEnd"/> </p></li><li><p class="P24" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>at 8R: weakly pointing <span class="text-T21">away from</span> center<span class="odfLiEnd"/> </p></li></ul><p class="paragraph-P25"> </p>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P26">Now for the meat of the question: finding the electric potential at 8R, 5R, 3R, and R. Because electric potential to infinity due to a charged object is just
<!--Next 'span' is a draw:frame. -->
<span id="Object15"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>r</mi>
</mfrac>
</math> </span>, we have:</div>
<ul><li><div class="P27" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>8R:
<!--Next 'span' is a draw:frame. -->
<span id="Object16"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mi>k</mi>
<mrow>
<mfrac>
<mrow>
<mn>24</mn>
<mi>Q</mi>
</mrow>
<mrow>
<mn>8</mn>
<mi>R</mi>
</mrow>
</mfrac>
<mo stretchy="false">=</mo>
<mn>3</mn>
</mrow>
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>R</mi>
</mfrac>
</mrow>
</math> </span><span class="odfLiEnd"/> </div></li><li><div class="P27" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>5R: <span class="text-T22">because potential inside a conductor is zero, this is the same as the potential at 6R, which is </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object17"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mn>4</mn>
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>R</mi>
</mfrac>
</mrow>
</math> </span><span class="odfLiEnd"/> </div></li><li><div class="P28" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>3R: this is the potential at 4R plus the potential between 4R and 3R:
<!--Next 'span' is a draw:frame. -->
<span id="Object18"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mn>3</mn>
<mi>R</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mn>4</mn>
<mi>r</mi>
</mrow>
</msub>
<mo stretchy="false">+</mo>
<mrow>
<mo fence="true" form="prefix" stretchy="false">(</mo>
<mrow>
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mn>3</mn>
<mi>R</mi>
</mrow>
</msub>
<mo stretchy="false"></mo>
<msub>
<mi>P</mi>
<mrow>
<mn>4</mn>
<mi>R</mi>
</mrow>
</msub>
</mrow>
</mrow>
<mo fence="true" form="postfix" stretchy="false">)</mo>
</mrow>
</mrow>
</mrow>
</math> </span>. 4R is the same as at 6R (because there is no potential over the conductor), so this yields
<!--Next 'span' is a draw:frame. -->
<span id="Object19"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mn>3</mn>
<mi>R</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mrow>
<mrow>
<mn>4</mn>
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>R</mi>
</mfrac>
</mrow>
<mo stretchy="false">+</mo>
<mn>24</mn>
</mrow>
</mrow>
<mi mathvariant="italic">kQ</mi>
<mrow>
<mrow>
<mo fence="true" form="prefix" stretchy="false">(</mo>
<mrow>
<mrow>
<mfrac>
<mn>1</mn>
<mrow>
<mn>3</mn>
<mi>R</mi>
</mrow>
</mfrac>
<mo stretchy="false"></mo>
<mfrac>
<mn>1</mn>
<mrow>
<mn>4</mn>
<mi>R</mi>
</mrow>
</mfrac>
</mrow>
</mrow>
<mo fence="true" form="postfix" stretchy="false">)</mo>
</mrow>
<mo stretchy="false">=</mo>
<mrow>
<mrow>
<mn>4</mn>
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>R</mi>
</mfrac>
</mrow>
<mo stretchy="false">+</mo>
<mn>24</mn>
</mrow>
</mrow>
<mi mathvariant="italic">kQ</mi>
<mrow>
<mrow>
<mo fence="true" form="prefix" stretchy="false">(</mo>
<mrow>
<mfrac>
<mn>1</mn>
<mrow>
<mn>12</mn>
<mi>R</mi>
</mrow>
</mfrac>
</mrow>
<mo fence="true" form="postfix" stretchy="false">)</mo>
</mrow>
<mo stretchy="false">=</mo>
<mrow>
<mrow>
<mn>4</mn>
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>R</mi>
</mfrac>
</mrow>
<mo stretchy="false">+</mo>
<mrow>
<mn>2</mn>
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>R</mi>
</mfrac>
</mrow>
</mrow>
<mo stretchy="false">=</mo>
<mn>6</mn>
</mrow>
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>R</mi>
</mfrac>
</mrow>
</math> </span><span class="odfLiEnd"/> </div></li><li><div class="P29" style="margin-left:0cm;"><span class="Bullet_20_Symbols" style="display:block;float:left;min-width:0.635cm;"></span>R: <span class="text-T23">Because this is inside the shell, the potential here is the same as the potential at 2R. </span><span class="text-T24">How do we find the potential at 2R? Same technique as above! The potential is </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object20"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mn>2</mn>
<mi>R</mi>
</mrow>
</msub>
<mo stretchy="false">=</mo>
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mn>3</mn>
<mi>R</mi>
</mrow>
</msub>
<mo stretchy="false">+</mo>
<mrow>
<mo fence="true" form="prefix" stretchy="false">(</mo>
<mrow>
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mn>2</mn>
<mi>R</mi>
</mrow>
</msub>
<mo stretchy="false"></mo>
<msub>
<mi>P</mi>
<mrow>
<mn>3</mn>
<mi>R</mi>
</mrow>
</msub>
</mrow>
</mrow>
<mo fence="true" form="postfix" stretchy="false">)</mo>
</mrow>
</mrow>
</mrow>
</math> </span><span class="text-T24">. </span><span class="text-T25">The difference </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object21"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mrow>
<mrow>
<msub>
<mi>P</mi>
<mrow>
<mn>3</mn>
<mi>R</mi>
</mrow>
</msub>
<mo stretchy="false"></mo>
<msub>
<mi>P</mi>
<mrow>
<mn>2</mn>
<mi>R</mi>
</mrow>
</msub>
</mrow>
<mo stretchy="false">=</mo>
<mn>24</mn>
</mrow>
<mrow>
<mrow>
<mi mathvariant="italic">kQ</mi>
<mo stretchy="false"></mo>
<mrow>
<mo fence="true" form="prefix" stretchy="false">(</mo>
<mrow>
<mrow>
<mfrac>
<mn>1</mn>
<mrow>
<mn>2</mn>
<mi>R</mi>
</mrow>
</mfrac>
<mo stretchy="false"></mo>
<mfrac>
<mn>1</mn>
<mrow>
<mn>3</mn>
<mi>R</mi>
</mrow>
</mfrac>
</mrow>
</mrow>
<mo fence="true" form="postfix" stretchy="false">)</mo>
</mrow>
</mrow>
<mo stretchy="false">=</mo>
<mn>4</mn>
</mrow>
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>R</mi>
</mfrac>
</mrow>
</math> </span><span class="text-T25">, </span><span class="text-T26">and the potential at 3R is already known to be </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object22"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mn>6</mn>
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>R</mi>
</mfrac>
</mrow>
</math> </span><span class="text-T26">, so the potential at R is </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object23"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mn>10</mn>
<mfrac>
<mi mathvariant="italic">kQ</mi>
<mi>R</mi>
</mfrac>
</mrow>
</math> </span><span class="text-T26">.</span><span class="odfLiEnd"/> </div></li></ul><p class="paragraph-P30"> </p>
<p class="paragraph-P31">Potential difference is a difficult topic, so lets do another.</p>
<p class="paragraph-P31"> </p>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P32">
<!--Next 'div' is a draw:frame. -->
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"/></div><div style="clear:both; line-height:0; width:0; height:0; margin:0; padding:0;"> </div>The first question asks us to find the potential difference between A and B, knowing that d is much larger than s.</div>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P33">Because the electric field is produced by a dipole, were gonna have to use <span class="text-T27">an integral</span>. <span class="text-T28">The dipole moment here is </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object24"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mo fence="true" form="prefix" stretchy="false">[</mo>
<mrow>
<mrow>
<mrow>
<mo stretchy="false"></mo>
<mi mathvariant="italic">qs</mi>
</mrow>
<mi>,</mi>
<mn>0</mn>
<mi>,</mi>
<mn>0</mn>
</mrow>
</mrow>
<mo fence="true" form="postfix" stretchy="false">]</mo>
</mrow>
</math> </span><span class="text-T28"> (if you dont know how this was calculated, review dipoles!). This means the field at any position</span><span class="text-T29"> r </span><span class="text-T28">along the x axis is </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object25"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
<mrow>
<mn>2</mn>
<mi>k</mi>
<mfrac>
<mrow>
<mo fence="true" form="prefix" stretchy="false">[</mo>
<mrow>
<mrow>
<mrow>
<mo stretchy="false"></mo>
<mi mathvariant="italic">qs</mi>
</mrow>
<mi>,</mi>
<mn>0</mn>
<mi>,</mi>
<mn>0</mn>
</mrow>
</mrow>
<mo fence="true" form="postfix" stretchy="false">]</mo>
</mrow>
<msup>
<mi>r</mi>
<mn>3</mn>
</msup>
</mfrac>
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</math> </span><span class="text-T28">. Potential difference between A and B is just the integral from A to B of that formula: </span>
<!--Next 'span' is a draw:frame. -->
<span id="Object26"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline">
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</math> </span></div>
<!--Next 'div' was a 'text:p'.-->
<div class="paragraph-P34">Since all we want is the magnitude, we can discard the directional vector, to get
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</math> </span>. <span class="text-T30">This is very close to correct, but is still wrong for a subtle reason: the voltage is the </span><span class="text-T31">negative</span><span class="text-T30"> integral of the electric field, meaning our final result is </span>
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<p class="paragraph-P35">The second question asks about the kinetic energy of an electron released at location B, when it is far away from the dipole. Because the kinetic energy is starting at 0, we can assume that our final kinetic energy is equal to the work done by the electric field on the charge which is potential difference times charge.</p>
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<div class="paragraph-P35">To find the potential difference between position B and infinity, we can use the same integral as above, but from B to infinity rather than from A to B. This works out nicely to
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</math> </span>. Multiplying this by the charge of an electron
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<div class="paragraph-P36">Finally, we need to find the potential difference between B and C. We know the electric potential at B to be
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</math> </span></div>
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