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M3P2
Courses
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66137099
Commit
66137099
authored
Dec 21, 2025
by
Claude Meny
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Update cheatsheet.fr.md
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12.temporary_ins/90.electromagnetism-in-vacuum/10.maxwell-equations/20.overview/cheatsheet.fr.md
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66137099
...
@@ -91,7 +91,6 @@ RÉSUMÉ
...
@@ -91,7 +91,6 @@ RÉSUMÉ
*Forme locale des équations de Maxwell*
*Forme locale des équations de Maxwell*
*
En tout point de l'espace et à tout instant :
*
En tout point de l'espace et à tout instant :
<br>
$
`\left\{\begin{array}{l}
$
`\left\{\begin{array}{l}
div \overrightarrow{E} = \dfrac{\dens}{\epsilon_0}\quad \small{(Maxwell-Gauss)}\\
div \overrightarrow{E} = \dfrac{\dens}{\epsilon_0}\quad \small{(Maxwell-Gauss)}\\
div \overrightarrow{B} = 0\quad \small{(Maxwell-Thomson)}\\
div \overrightarrow{B} = 0\quad \small{(Maxwell-Thomson)}\\
...
@@ -99,9 +98,7 @@ RÉSUMÉ
...
@@ -99,9 +98,7 @@ RÉSUMÉ
\overrightarrow{rot} \;\overrightarrow{B} = \mu_0\;\overrightarrow{j} + \mu_0 \epsilon_0 \;\dfrac{\partial \overrightarrow{E}}{\partial t}\\
\overrightarrow{rot} \;\overrightarrow{B} = \mu_0\;\overrightarrow{j} + \mu_0 \epsilon_0 \;\dfrac{\partial \overrightarrow{E}}{\partial t}\\
\hspace{3,5cm}\small{(Maxwell-Ampère)}
\hspace{3,5cm}\small{(Maxwell-Ampère)}
\end{array}\right.`
$
\end{array}\right.`
$
<br>
avec $
`\dens`
$ densité volumique de charge
et $
`\overrightarrow{j}`
$ vecteur densité volumique de courant.
avec $
`\dens`
$ densité volumique de charge
et $
`\overrightarrow{j}`
$ vecteur densité volumique de courant.
*
$
`\Longrightarrow`
$ la conservation de la charge :
*
$
`\Longrightarrow`
$ la conservation de la charge :
$
`div\,\overrightarrow{j} +\dfrac{\partial \dens}{\partial t}=0`
$
$
`div\,\overrightarrow{j} +\dfrac{\partial \dens}{\partial t}=0`
$
...
...
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