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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
204 changed files with 1839 additions and 941 deletions
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build/emsm_esm_fpo.html
+8 -6
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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>
@@ -1641,7 +1641,7 @@ V({\bf r}) = \frac{1}{4\pi\varepsilon_0} \oint_{\cal S} d{\bf a}' ⋅ \frac{{\bf
\]
Interpretation: first terms is like contribution of a surface charge,
</p>
<div class="main div" id="org4023a54">
<div class="main div" id="org2b8e04d">
<p>
\[
\sigma_b({\bf r}) = {\bf P} ({\bf r}) \cdot \hat{\bf n}
@@ -1653,7 +1653,7 @@ Interpretation: first terms is like contribution of a surface charge,
<p>
and second term looks like contribution of a volume charge,
</p>
<div class="main div" id="org169ee14">
<div class="main div" id="orgfedc24b">
<p>
\[
\rho_b ({\bf r}) = -{\boldsymbol \nabla} \cdot {\bf P} ({\bf r})
@@ -1665,7 +1665,7 @@ and second term looks like contribution of a volume charge,
<p>
Using these definitions,
</p>
<div class="main div" id="orgf49a471">
<div class="main div" id="org92d3761">
<p>
\[
V({\bf r}) = \frac{1}{4\pi\varepsilon_0} \oint_{\cal S} d{\bf a}' ⋅ \frac{σ_b ({\bf r}')}{|{\bf r} - {\bf r}'|}
@@ -1684,7 +1684,7 @@ These {\bf bound charges} faithfully represent the object's sources for electric
</p>
<div class="example div" id="org10b9eff">
<div class="example div" id="org2180b05">
<p>
\paragraph{Example 4.2:} electric field produced by uniformly polarized sphere of radius \(R\).
\paragraph{Solution:} put \(z\) axis along \({\bf P}\). Since \({\bf P}\) is uniform, \(\rho_b = 0\).
@@ -1728,6 +1728,8 @@ where the total dipole moment is simply the integral over the polarization,
<li><a href="emsm_esm_fpo_fid.html">The Field Inside a Dielectric</a><span class="headline-id">emsm.esm.fpo.fid</span></li>
</ul>
<br><ul class="navigation-links"><li>Prev:&nbsp;<a href="emsm_esm_di.html">Dielectrics&emsp;<small>[emsm.esm.di]</small></a></li><li>Next:&nbsp;<a href="emsm_esm_fpo_pibc.html">Physical Interpretation of Bound Charges&emsp;<small>[emsm.esm.fpo.pibc]</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/"
@@ -1741,7 +1743,7 @@ 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>