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Update 12.temporary_ins/90.electromagnetism-in-vacuum/10.maxwell-equations/20.overview/cheatsheet.fr.md

12.temporary_ins/90.electromagnetism-in-vacuum/10.maxwell-equations/20.overview/cheatsheet.fr.md

@@ -105,20 +105,20 @@ Attention !!! En période très préliminaire d'élaboration et de construction
 
 $`\displaystyle\iint_S \overrightarrow{rot} \,\overrightarrow{E}\cdot \overrightarrow{dS}
 = -\displaystyle\iint_{S \leftrightarrow \tau} \dfrac{\partial \overrightarrow{B}}{\partial t}\cdot \overrightarrow{dS}`$
-
-$`\displaystyle\iint_S \overrightarrow{rot}\,\overrightarrow{E}\cdot \overrightarrow{dS} 
-= - \dfrac{\partial}{\partial t} \left( \displaystyle\iint_S \overrightarrow{B}\cdot \overrightarrow{dS}\right)`$
+$= - \dfrac{\partial}{\partial t} \left( \displaystyle\iint_S \overrightarrow{B}\cdot \overrightarrow{dS}\right)`$
 
 
 $`\Phi_E = \displaystyle \oiint_{S\leftrightarrow\tau} \overrightarrow{E}\cdot\overrightarrow{dS}
 = \dfrac{1}{\epsilon_0} \cdot \iiint_{\tau} \rho \cdot d\tau = \dfrac{Q_{int}}{\epsilon_0} `$
 
 $`\left.\begin{array}{l}
-\overrightarrow{E}=E_{\rho}(\rho)\,\overrightarrow{e_{\rho}}=E\,\overrightarrow{e_{\rho}} \\
+$`\Phi_E = \displaystyle \oiint_{S\leftrightarrow\tau} \overrightarrow{E}\cdot\overrightarrow{dS}
+= \dfrac{Q_{int}}{\epsilon_0} `$ \\
 2\pi \rho_M\, h\,E= \dfrac{\pi\,\rho_M^2\,h\, \dens^{3D}_0}{\epsilon_0}
 \end{array}\right\}
 \Longrightarrow`$
-**$`\mathbf{\overrightarrow{E}=\dfrac{\rho_M\,\dens^{3D}_0}{2\,\epsilon_0}\,\overrightarrow{e_{\rho}}}`$**
+**$`\mathbf{$`\Phi_E = \displaystyle \oiint_{S\leftrightarrow\tau} \overrightarrow{E}\cdot\overrightarrow{dS}
+= \dfrac{1}{\epsilon_0} \cdot \iiint_{\tau} \rho \cdot d\tau = \dfrac{Q_{int}}{\epsilon_0}}`$**
 
 $`\left.\begin{array}{l}
 \overrightarrow{E}=E_{\rho}(\rho)\,\overrightarrow{e_{\rho}}=E\,\overrightarrow{e_{\rho}} \\