Update 2022-03-01 08:15
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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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<!-- 2022-02-21 Mon 20:41 -->
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<!-- 2022-03-01 Tue 08:14 -->
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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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@@ -1642,14 +1642,14 @@ 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="orga8c3fb1">
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<div class="eqlabel" id="org78aa9fd">
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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="org6cd4a7c">
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<div class="alteqlabels" id="orge709fe8">
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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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@@ -1668,14 +1668,14 @@ 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="orga026d83">
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<div class="eqlabel" id="orgc192b88">
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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="org2882957">
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<div class="alteqlabels" id="org2793a78">
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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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@@ -1717,14 +1717,14 @@ 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="org51cbfe8">
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<div class="eqlabel" id="org5d2ef34">
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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="org1e2d0a5">
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<div class="alteqlabels" id="org7f817bc">
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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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@@ -1732,7 +1732,7 @@ 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="orgd2c3141">
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<div class="core div" id="org92bb795">
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<p>
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</p>
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@@ -1746,7 +1746,7 @@ W = \frac{\varepsilon_0}{2} \int E^2 d\tau
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</div>
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<div class="example div" id="org5762a33">
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<div class="example div" id="org5cba08b">
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<p>
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<b>Energy of spherical shell</b>
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</p>
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@@ -1819,7 +1819,7 @@ 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: 2022-02-21 Mon 20:41</p>
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<p class="date">Created: 2022-03-01 Tue 08:14</p>
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<p class="validation"></p>
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</div>
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