Update 2022-02-14 20:42
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<!-- 2022-02-13 Sun 21:20 -->
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<!-- 2022-02-14 Mon 20:35 -->
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<meta charset="utf-8">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<title>Pre-Quantum Electrodynamics</title>
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@@ -1598,7 +1598,7 @@ Table of contents
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</svg></a><span class="headline-id">ems.ms.vp.me</span></h5>
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<div class="outline-text-5" id="text-ems_ms_vp_me">
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<p>
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Remember our expansion for the electrostatic field (\ref{Gr(3.94)})
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Remember our expansion for the electrostatic field <a href="./ems_ca_me_a.html#1or_Leg">1or_Leg</a>
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\[
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\frac{1}{|{\bf r} - {\bf r}'|} = \frac{1}{[r^2 + (r')^2 - 2r r' \cos \theta']^{1/2}}
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= \frac{1}{r} \sum_{l=0}^{\infty} \left(\frac{r'}{r}\right)^l P_l (\cos \theta').
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@@ -1652,7 +1652,7 @@ Using equation \ref{Gr(1.108)} from Problem 1.61,
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with \({\bf c} = \hat {\bf r}\),
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</p>
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<div class="info div" id="org4386479">
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<div class="info div" id="orge6b2ced">
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<p>
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\paragraph{Parenthesis: Problem 1.61 (e)} Start from Stokes' theorem,
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\[
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@@ -1694,7 +1694,7 @@ Back to our problem:
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\]
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and defining the
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</p>
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<div class="core div" id="org327974d">
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<div class="core div" id="orga533d8f">
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<p>
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<b>magnetic dipole moment</b>
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\[
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@@ -1707,7 +1707,7 @@ and defining the
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<p>
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we obtain the convenient expression for the
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</p>
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<div class="main div" id="orgdb0e4f0">
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<div class="main div" id="orga375754">
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<p>
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{\bf dipole term of the vector potential}
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\[
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@@ -1718,7 +1718,7 @@ we obtain the convenient expression for the
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</div>
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<div class="example div" id="orgdbf265b">
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<div class="example div" id="orgc83d028">
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<p>
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\paragraph{Example 5.13:} find magnetic dipole moment of bookend shape of Gr. Fig. 5.52.
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All sides have length \(w\) and carry current \(I\).
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@@ -1765,7 +1765,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Jean-Sébastien Caux</p>
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<p class="date">Created: 2022-02-13 Sun 21:20</p>
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<p class="date">Created: 2022-02-14 Mon 20:35</p>
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<p class="validation"></p>
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</div>
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