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Update 2022-02-14 06:33

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Jean-Sébastien
2022-02-14 06:33:37 +01:00
parent f8446c1405
commit 4cfe8cef59
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build/emsm_esm_D.html
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-10 Thu 08:32 -->
<!-- 2022-02-13 Sun 21:20 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1601,7 +1601,7 @@ Table of contents
<p>
Field due to polarization: effectively comes from bound surface and volume charges,
</p>
<div class="main div" id="orgd15c2b3">
<div class="main div" id="orgbf2fd22">
<p>
\[
\rho_b = -{\boldsymbol \nabla} \cdot {\bf P}, \hspace{1cm} \sigma_b = {\bf P} \cdot \hat{\bf n}.
@@ -1630,7 +1630,7 @@ Convenient way of writing:
\]
Defining the
</p>
<div class="core div" id="org846825d">
<div class="core div" id="org0188ffa">
<p>
<b>Electric displacement</b> \({\bf D}\)
\[
@@ -1643,7 +1643,7 @@ Defining the
<p>
Gauss's law becomes
</p>
<div class="core div" id="org4df3581">
<div class="core div" id="orgd598f89">
<p>
\[
{\boldsymbol \nabla} \cdot {\bf D} = \rho_f
@@ -1655,7 +1655,7 @@ Gauss's law becomes
<p>
or in integral form
</p>
<div class="core div" id="org573073e">
<div class="core div" id="org4d3f727">
<p>
\[
\oint d{\bf a} \cdot {\bf D} = Q_{f_{enc}}
@@ -1665,7 +1665,7 @@ or in integral form
</div>
<div class="example div" id="orgb7690ad">
<div class="example div" id="org69446f8">
<p>
\paragraph{Example 4.4:} long straight wire, uniform line charge \(\lambda\), surrounded by rubber insulation
to radius \(a\). Find \({\bf D}\).
@@ -1711,6 +1711,8 @@ There is not 'potential' for \({\bf D}\).
<li><a href="emsm_esm_D_bc.html">Boundary Conditions</a><span class="headline-id">emsm.esm.D.bc</span></li>
</ul>
<br><ul class="navigation-links"><li>Prev:&nbsp;<a href="emsm_esm_fpo_fid.html">The Field Inside a Dielectric&emsp;<small>[emsm.esm.fpo.fid]</small></a></li><li>Next:&nbsp;<a href="emsm_esm_D_bc.html">Boundary Conditions&emsp;<small>[emsm.esm.D.bc]</small></a></li><li>Up:&nbsp;<a href="emsm_esm.html">Electrostatics in matter&emsp;<small>[emsm.esm]</small></a></li></ul>
<br>
<hr>
<div class="license">
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
@@ -1724,7 +1726,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
</div>
<div id="postamble" class="status">
<p class="author">Author: Jean-Sébastien Caux</p>
<p class="date">Created: 2022-02-10 Thu 08:32</p>
<p class="date">Created: 2022-02-13 Sun 21:20</p>
<p class="validation"></p>
</div>