Update 2022-02-14 20:42
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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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<!-- 2022-02-13 Sun 21:20 -->
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<!-- 2022-02-14 Mon 20:35 -->
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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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@@ -1605,12 +1605,12 @@ from \ref{Gr(5.36)},
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\]
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Any loop will do:
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\[
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{\bf B} = \frac{\mu_0 I}{2\pi s} \hat{\boldsymbol \phi}
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{\bf B} = \frac{\mu_0 I}{2\pi s} \hat{\boldsymbol \varphi}
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\label{Gr(5.41)}
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\]
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and \(d{\bf l} = ds \hat{\bf s} + s d\phi \hat{\boldsymbol \phi} + dz \hat{\bf z}\) so for a loop encircling the wire once,
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and \(d{\bf l} = ds \hat{\bf s} + s d\varphi \hat{\boldsymbol \varphi} + dz \hat{\bf z}\) so for a loop encircling the wire once,
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\[
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\oint {\bf B} \cdot d{\bf l} = \frac{\mu_0 I}{2\pi} \oint \frac{1}{s} s d\phi = \mu_0 I.
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\oint {\bf B} \cdot d{\bf l} = \frac{\mu_0 I}{2\pi} \oint \frac{1}{s} s d\varphi = \mu_0 I.
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\]
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</p>
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@@ -1627,7 +1627,7 @@ I_{enc} = \int_{\cal S} {\bf J} \cdot d{\bf a}
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\]
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Applying Stokes' theorem:
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</p>
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<div class="core div" id="org5d0f247">
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<div class="core div" id="org6d7ba73">
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<p>
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\[
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{\boldsymbol \nabla} \times {\bf B} = \mu_0 {\bf J}
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@@ -1657,7 +1657,7 @@ 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: 2022-02-13 Sun 21:20</p>
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<p class="date">Created: 2022-02-14 Mon 20:35</p>
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<p class="validation"></p>
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</div>
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