Update 2022-02-09 07:44
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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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<!-- 2022-02-08 Tue 17:21 -->
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<!-- 2022-02-09 Wed 07:31 -->
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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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@@ -1616,7 +1616,7 @@ Table of contents
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</ul>
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</details>
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</nav>
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<ul class="navigation-links"><li>Prev: <a href="ems_es_ef.html">Electrostatic Fields <small>[ems.es.ef]</small></a></li><li>Next: <a href="ems_es_ef_ccd.html">Electrostatic Field of Continuous Charge Distributions <small>[ems.es.ef.ccd]</small></a></li><li>Up: <a href="ems_es_ef.html">Electrostatic Fields <small>[ems.es.ef]</small></a></li></ul><div id="outline-container-ems_es_ef_pc" class="outline-5">
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<ul class="breadcrumbs"><li><a class="breadcrumb-link"href="ems.html">Electromagnetostatics</a></li><li><a class="breadcrumb-link"href="ems_es.html">Electrostatics</a></li><li><a class="breadcrumb-link"href="ems_es_ef.html">Electrostatic Fields</a></li><li>Electrostatic Field of Point Charges</li></ul><ul class="navigation-links"><li>Prev: <a href="ems_es_ef.html">Electrostatic Fields <small>[ems.es.ef]</small></a></li><li>Next: <a href="ems_es_ef_ccd.html">Electrostatic Field of Continuous Charge Distributions <small>[ems.es.ef.ccd]</small></a></li><li>Up: <a href="ems_es_ef.html">Electrostatic Fields <small>[ems.es.ef]</small></a></li></ul><div id="outline-container-ems_es_ef_pc" class="outline-5">
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<h5 id="ems_es_ef_pc">Electrostatic Field of Point Charges<a class="headline-permalink" href="./ems_es_ef_pc.html#ems_es_ef_pc"><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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@@ -1636,14 +1636,14 @@ an electric field originating from the source charge.
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Invoking the superposition principle, we can thus write
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</p>
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<div class="eqlabel" id="orgcfc6894">
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<div class="eqlabel" id="org4730586">
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<p>
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<a id="FqE"></a><a href="./ems_es_ef_pc.html#FqE"><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="org89eb900">
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<div class="alteqlabels" id="org116a09c">
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<ul class="org-ul">
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<li>Gr (2.3)</li>
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</ul>
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@@ -1651,7 +1651,7 @@ Invoking the superposition principle, we can thus write
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</div>
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</div>
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<div class="core div" id="org4a115c3">
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<div class="core div" id="orgeccf8e2">
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<p>
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</p>
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@@ -1667,14 +1667,14 @@ Invoking the superposition principle, we can thus write
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<p>
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with the electric field of a point charge distribution being
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</p>
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<div class="eqlabel" id="orgf819bd5">
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<div class="eqlabel" id="orga802734">
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<p>
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<a id="E_pcd"></a><a href="./ems_es_ef_pc.html#E_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="org9b71fa1">
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<div class="alteqlabels" id="org40f9d2d">
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<ul class="org-ul">
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<li>Gr (2.4)</li>
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</ul>
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@@ -1682,7 +1682,7 @@ with the electric field of a point charge distribution being
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</div>
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</div>
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<div class="core div" id="org31482d8">
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<div class="core div" id="org86df2ea">
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<p>
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</p>
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@@ -1700,7 +1700,7 @@ The electric field \({\bf E} ({\bf r})\) is thus the force per unit charge that
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be exerted if you put a test charge at position \({\bf r}\).
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</p>
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<div class="example div" id="org7745fed">
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<div class="example div" id="org2e1ef71">
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<p>
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<b>Example</b>
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</p>
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@@ -1729,10 +1729,21 @@ We have \(|{\bf r} - {\bf r}'| = \sqrt{z^2 + (d/2)^2}\) for both charges and \(\
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<hr><div id="postamble" class="status">
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<hr>
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<div class="license">
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<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
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target="_blank" class="m-2">
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<img alt="Creative Commons License" style="border-width:0"
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src="https://licensebuttons.net/l/by/4.0/80x15.png"/>
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</a>
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Except where otherwise noted, all content is licensed under a
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<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
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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: 2022-02-08 Tue 17:21</p>
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<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
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<p class="date">Created: 2022-02-09 Wed 07:31</p>
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<p class="validation"></p>
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</div>
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