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M3P2
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18a23ef1
Commit
18a23ef1
authored
May 20, 2023
by
Claude Meny
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Update cheatsheet.fr.md
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12.temporary_ins/90.electromagnetism-in-vacuum/20.electromagnetic-waves-vacuum/20.overview/cheatsheet.fr.md
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18a23ef1
...
@@ -119,9 +119,9 @@ puis d'une onde plane progressive monochromatique (OPPM).
...
@@ -119,9 +119,9 @@ puis d'une onde plane progressive monochromatique (OPPM).
il existe une direction particulière telle qu'en tout plan perpendiculaire à cette direction, le champ
il existe une direction particulière telle qu'en tout plan perpendiculaire à cette direction, le champ
$
`\big(\overrightarrow{E}\,,\,\overrightarrow{B}\big)`
$ est uniforme.
$
`\big(\overrightarrow{E}\,,\,\overrightarrow{B}\big)`
$ est uniforme.
*
Choisissons
un repère cartésien $
`\big(O\,,\vec{e_x}\,,\vec{e_y}\,,\vec{e_z}\big)`
$
tel qu'en tout point $
`M`
$
*
Choisissons
$
`\big(O\,,\vec{e_x}\,,\vec{e_y}\,,\vec{e_z}\big)`
$ un repère cartésien
tel qu'en tout point $
`M`
$
de l'espace, le champ $
`\big(\overrightarrow{E}\,,\,\overrightarrow{B}\big)`
$ soit uniforme dans le plan
de l'espace, le champ $
`\big(\overrightarrow{E}\,,\,\overrightarrow{B}\big)`
$ soit uniforme dans le plan
$
`\big(M\,,\vec{e_x}\,,\vec{e_y}\big)`
$, soit :
$
`\big(M\,,\vec{e_x}\,,\vec{e_y}\big)`
$, soit :
<br>
<br>
$
`\dfrac{\partial E}{\partial x}=\dfrac{\partial E}{\partial y}=0`
$
$
`\dfrac{\partial E}{\partial x}=\dfrac{\partial E}{\partial y}=0`
$
<br>
<br>
...
@@ -149,14 +149,14 @@ $`\left.
...
@@ -149,14 +149,14 @@ $`\left.
\text{\\dans le vide}}}\\
\text{\\dans le vide}}}\\
\\
\\
\overrightarrow{E}\text{ uniforme}\\
\overrightarrow{E}\text{ uniforme}\\
\text{dans tout plan }\perp\overrightarrow{e_z}\end{align}\right}`
$
\text{dans tout plan }\perp\overrightarrow{e_z}\end{align}\right
\
}`
$
$
`\Longrightarrow\left{
$
`\Longrightarrow\left
\
{
\begin{align}
\begin{align}
\dfrac{\partial E_x}{\partial x}+\dfrac{\partial E_y}{\partial y}
\dfrac{\partial E_x}{\partial x}+\dfrac{\partial E_y}{\partial y}
+\dfrac{\partial E_x}{\partial x}=0\\
+\dfrac{\partial E_x}{\partial x}=0\\
\\
\\
\dfrac{\partial E_x}{\partial x}=\dfrac{\partial E_y}{\partial y}=0
\dfrac{\partial E_x}{\partial x}=\dfrac{\partial E_y}{\partial y}=0
\end{align}\right}`
$
\end{align}\right
\
}`
$
$
`\Longrightarrow\;\dfrac{\partial E_z}{\partial z}=0`
$
$
`\Longrightarrow\;\dfrac{\partial E_z}{\partial z}=0`
$
$
`\left.
$
`\left.
...
...
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