Update 2022-02-15 10:32
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@@ -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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<!-- 2022-02-14 Mon 20:35 -->
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<!-- 2022-02-15 Tue 10:14 -->
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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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@@ -1618,14 +1618,14 @@ W_u = -\int_{{\bf a}}^{{\bf b}} {\bf E} \cdot d{\bf l}
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For a point charge distribution, the total work required to assemble it
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can also be rewritten in terms of the potential by using <a href="./ems_es_ep_d.html#p">p</a>,
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</p>
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<div class="eqlabel" id="org2c24fd5">
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<div class="eqlabel" id="org0cf7291">
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<p>
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<a id="W_pcd"></a><a href="./ems_es_e.html#W_pcd"><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="orgfa2a95e">
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<div class="alteqlabels" id="org633d4e0">
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<ul class="org-ul">
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<li>Gr (2.42)</li>
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</ul>
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@@ -1644,14 +1644,14 @@ W = \frac{1}{2} \sum_{i=1}^m q_i \phi({\bf r}_i)
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For a volume charge distribution, this becomes
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</p>
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<div class="eqlabel" id="org1959a68">
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<div class="eqlabel" id="orgfb2b176">
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<p>
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<a id="W_vcd"></a><a href="./ems_es_e.html#W_vcd"><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="org82d983c">
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<div class="alteqlabels" id="org9a48da0">
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<ul class="org-ul">
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<li>Gr (2.43)</li>
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</ul>
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@@ -1693,14 +1693,14 @@ W = \frac{\varepsilon_0}{2} \left( \int_{\cal V} E^2 d\tau + \oint_{\cal S} \phi
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Integrating over all space (and thus dropping the surface integrale whose integrand is assumed
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to vanish at infinity), we get
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</p>
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<div class="eqlabel" id="org2281846">
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<div class="eqlabel" id="orga03a8a7">
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<p>
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<a id="W_intEsq"></a><a href="./ems_es_e.html#W_intEsq"><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="org751ee4a">
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<div class="alteqlabels" id="org1108b3a">
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<ul class="org-ul">
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<li>Gr (2.45)</li>
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</ul>
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@@ -1708,7 +1708,7 @@ to vanish at infinity), we get
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</div>
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</div>
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<div class="core div" id="org157afaa">
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<div class="core div" id="org91568d4">
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<p>
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</p>
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@@ -1722,7 +1722,7 @@ W = \frac{\varepsilon_0}{2} \int E^2 d\tau
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</div>
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<div class="example div" id="orgbadee42">
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<div class="example div" id="orgbfb13d8">
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<p>
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<b>Energy of spherical shell</b>
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</p>
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@@ -1795,7 +1795,7 @@ 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: 2022-02-14 Mon 20:35</p>
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<p class="date">Created: 2022-02-15 Tue 10:14</p>
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<p class="validation"></p>
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</div>
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