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Update 2022-03-01 08:15

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Jean-Sébastien
2022-03-01 08:15:26 +01:00
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commit ac1e628013
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build/emd_ce_poy.html
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-21 Mon 20:41 -->
<!-- 2022-03-01 Tue 08:14 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1690,7 +1690,7 @@ so we get
Substituting this in \ref{Gr(8.6)} and using the divergence theorem,
we obtain
</p>
<div class="main div" id="org22fe564">
<div class="main div" id="orgda8af3a">
<p>
{\bf Poynting's theorem}
\[
@@ -1715,7 +1715,7 @@ energy is carried by EM fields out of \({\cal V}\) across its boundary surface.
<p>
Energy per unit time, per unit area carried by EM fields:
</p>
<div class="core div" id="orgdc206f6">
<div class="core div" id="org8a1c10e">
<p>
{\bf Poynting vector}
\[
@@ -1728,7 +1728,7 @@ Energy per unit time, per unit area carried by EM fields:
<p>
We can thus express Poynting's theorem more compactly:
</p>
<div class="core div" id="org9460249">
<div class="core div" id="org57576be">
<p>
{\bf Poynting's theorem}
\[
@@ -1741,7 +1741,7 @@ We can thus express Poynting's theorem more compactly:
<p>
where we have defined the total
</p>
<div class="core div" id="orgeb66148">
<div class="core div" id="org43eb64b">
<p>
{\bf Energy in electromagnetic fields}
\[
@@ -1764,7 +1764,7 @@ Then,
\]
so we get the
</p>
<div class="core div" id="org8be7377">
<div class="core div" id="org29b53c2">
<p>
{\bf Poynting theorem (differential form)}
\[
@@ -1781,7 +1781,7 @@ and has a similar for to the continuity equation
<div class="example div" id="org69805a3">
<div class="example div" id="orgbb7ac4b">
<p>
\paragraph{Example 8.1} Current in a wire: Joule heating. Energy per unit time delivered to wire: from Poynting.
Assuming that the field is uniform, the electric field parallel to the wire is
@@ -1826,7 +1826,7 @@ 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: 2022-02-21 Mon 20:41</p>
<p class="date">Created: 2022-03-01 Tue 08:14</p>
<p class="validation"></p>
</div>