Update cheatsheet.fr.md

12.temporary_ins/90.electromagnetism-in-vacuum/20.electromagnetic-waves-vacuum/20.overview/cheatsheet.fr.md

@@ -163,14 +163,25 @@ puis d'une onde plane progressive monochromatique (OPPM).
 * Le théorème de *Maxwell-Faraday* implique :   
   <br>
   $`\left.
-    \begin{align} &\underbrace{\overrightarrow{rot}\,\overrightarrow{E}=-\dfrac{\partial \overrightarrow{B}}{\partial t}}}_{\color{blue}{\text{th. de Maxwell-Faraday}}\\
+    \begin{align} 
+    &\underbrace{\overrightarrow{rot}\,\overrightarrow{E}=-\dfrac{\partial \overrightarrow{B}}{\partial t}}
+    _{\color{blue}{\text{th. de Maxwell-Faraday}}}\\
     \\
     &\overrightarrow{E}\;uniforme\\
     &dans\;tout\;plan\;\perp\overrightarrow{e_z}\end{align}\right\}`$   
     <br>
     $`\Longrightarrow\left\{
     \begin{align}
-    &\dfrac{\partial E_x}{\partial x}+\dfrac{\partial E_y}{\partial y}
+    &\left|\begin{align}
+    \dfrac{\partial E_z}{\partial y}-\dfrac{\partial E_y}{\partial z}=-\dfrac{\partial B_x}{\partial t}\\
+    \dfrac{\partial E_x}{\partial z}-\dfrac{\partial E_z}{\partial x}=-\dfrac{\partial B_y}{\partial t}\\
+    \dfrac{\partial E_y}{\partial x}-\dfrac{\partial E_x}{\partial y}=-\dfrac{\partial B_z}{\partial t}
+    \end{align}\right.\\
+    \dfrac{\partial E_z}{\partial y}=\dfrac{\partial E_y}{\partial z}=\dfrac{\partial E_x}{\partial z}\\
+    \quad =\dfrac{\partial E_z}{\partial x}=\dfrac{\partial E_y}{\partial x}=\dfrac{\partial E_x}{\partial y}=0
+    \end{align}\right.`$
+
+\dfrac{\partial E_x}{\partial x}+\dfrac{\partial E_y}{\partial y}
     +\dfrac{\partial E_z}{\partial z}=0\\
     \\
     &\dfrac{\partial E_x}{\partial x}=\dfrac{\partial E_y}{\partial y}=0