Update 2022-03-15 10:07
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Jean-Sébastien
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-19
@@ -1,7 +1,7 @@
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<!-- 2022-03-07 Mon 20:38 -->
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<!-- 2022-03-15 Tue 08:10 -->
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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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@@ -1310,10 +1310,6 @@ Table of contents
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</summary>
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<ul>
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<li>
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<a href="./d_m.html#d_m">Diagnostics: Mathematical Preliminaries</a><span class="headline-id">d.m</span>
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</li>
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<li>
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<a href="./d_ems.html#d_ems">Diagnostics: Electromagnetostatics</a><span class="headline-id">d.ems</span>
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</li>
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@@ -1352,6 +1348,10 @@ Table of contents
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<li>
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<a href="./d_red.html#d_red">Diagnostics: Relativistic Electrodynamics</a><span class="headline-id">d.red</span>
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</li>
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<li>
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<a href="./d_m.html#d_m">Diagnostics: Compendium - Mathematics</a><span class="headline-id">d.m</span>
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</li>
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</ul>
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@@ -1617,7 +1617,7 @@ Table of contents
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<p>
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Field due to polarization: effectively comes from bound surface and volume charges,
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</p>
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<div class="main div" id="orgeb5651a">
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<div class="main div" id="orgce7147d">
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<p>
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\[
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\rho_b = -{\boldsymbol \nabla} \cdot {\bf P}, \hspace{1cm} \sigma_b = {\bf P} \cdot \hat{\bf n}.
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@@ -1646,18 +1646,18 @@ Convenient way of writing:
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\]
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Defining the
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</p>
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<div class="core div" id="orgf6a7c58">
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<div class="core div" id="org72b7779">
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<p>
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<b>Electric displacement</b> \({\bf D}\)
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</p>
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<div class="eqlabel" id="org5309f25">
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<div class="eqlabel" id="orgdd5a6d2">
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<p>
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<a id="D"></a><a href="./emsm_esm_D.html#D"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
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<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="orgf54eaa5">
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<div class="alteqlabels" id="orgc4d9540">
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<ul class="org-ul">
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<li>Gr (4.21)</li>
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</ul>
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@@ -1676,15 +1676,15 @@ Defining the
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<p>
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Gauss's law becomes
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</p>
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<div class="core div" id="orgd4b6c0e">
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<div class="eqlabel" id="org4001a56">
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<div class="core div" id="org3a2f5a3">
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<div class="eqlabel" id="org7059860">
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<p>
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<a id="GlD"></a><a href="./emsm_esm_D.html#GlD"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
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<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="orgef4eb17">
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<div class="alteqlabels" id="org3ac64ba">
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<ul class="org-ul">
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<li>Gr (4.22)</li>
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</ul>
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@@ -1703,15 +1703,15 @@ Gauss's law becomes
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<p>
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or in integral form
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</p>
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<div class="core div" id="org15c8e94">
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<div class="eqlabel" id="orgba76cab">
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<div class="core div" id="orga6a5d6d">
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<div class="eqlabel" id="orgf14e923">
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<p>
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<a id="GlD_int"></a><a href="./emsm_esm_D.html#GlD_int"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
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<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="orgaa11c31">
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<div class="alteqlabels" id="orgc23cc6a">
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<ul class="org-ul">
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<li>Gr (4.23)</li>
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</ul>
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@@ -1728,7 +1728,7 @@ or in integral form
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</div>
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<div class="example div" id="org2c75da6">
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<div class="example div" id="org367061a">
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<p>
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<b>Example: long insulated wire</b>
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</p>
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@@ -1773,14 +1773,14 @@ Inside: can't know the electric field, since \({\bf P}\) isn't known.
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but this is <i>not</i> correct, because the curl of the displacement isn't necessarily zero,
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</p>
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<div class="eqlabel" id="org255e1d1">
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<div class="eqlabel" id="orgc3d1f52">
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<p>
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<a id="curlDcurlP"></a><a href="./emsm_esm_D.html#curlDcurlP"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
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<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="orge1637ed">
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<div class="alteqlabels" id="org6a08571">
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<ul class="org-ul">
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<li>Gr (4.25)</li>
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</ul>
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@@ -1820,7 +1820,7 @@ 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: 2022-03-07 Mon 20:38</p>
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<p class="date">Created: 2022-03-15 Tue 08:10</p>
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<p class="validation"></p>
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</div>
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