Commit f2a89e7b authored by Claude Meny's avatar Claude Meny

corection d'une erreur dans le texte

parent 8f063992
Pipeline #10736 canceled with stage
......@@ -343,12 +343,12 @@ donc à l'*intérieur du cylindre chargé* :
$`\oiint_{\mathcal{S}_G}\overrightarrow{E}\cdot\overrightarrow{dS}=`$
**$`\mathbf{2\pi \rho_M\,h\, E}`$**
$`\;=\dfrac{Q_{int}}{\epsilon_0}`$
**$`\mathbf{\;=\dens^{3D}_0\times \pi\,\rho_M^2\,h}`$**
**$`\mathbf{\;=\dfrac{\dens^{3D}_0\times \pi\,\rho_M^2\,h}}{\epsilon_0}`$**
<br>
Au final :
$`\left.\begin{array}{l}
\overrightarrow{E}=E_{\rho}(\rho)\,\overrightarrow{e_{\rho}}=E\,\overrightarrow{e_{\rho}} \\
2\pi \rho_M\, h\,E= \pi\,\rho_M^2\,h\, \dens^{3D}_0
2\pi \rho_M\, h\,E= \dfrac{\pi\,\rho_M^2\,h\, \dens^{3D}_0}{\epsilon_0}
\end{array}\right\}
\Longrightarrow`$
**$`\mathbf{\overrightarrow{E}=\dfrac{\rho_M\,\dens^{3D}_0}{2\,\epsilon_0}\,\overrightarrow{e_{\rho}}}`$**
......@@ -360,12 +360,12 @@ donc à l'*extérieur du cylindre chargé* :
$`\oiint_{\mathcal{S}_G}\overrightarrow{E}\cdot\overrightarrow{dS}=`$
**$`\mathbf{2\pi \rho_M\,h\, E}`$**
$`\;=\dfrac{Q_{int}}{\epsilon_0}`$
**$`\mathbf{\;=\dens^{3D}_0\times \pi\,R^2\,h}`$**
**$`\mathbf{\;\dfrac{=\dens^{3D}_0\times \pi\,R^2\,h}{\epsilon_0}}`$**
<br>
Au final :
$`\left.\begin{array}{l}
\overrightarrow{E}=E_{\rho}(\rho)\,\overrightarrow{e_{\rho}}=E\,\overrightarrow{e_{\rho}} \\
2\pi \rho_M\,h\, E= \pi\,R^2\,h\, \dens^{3D}_0
2\pi \rho_M\,h\, E= \dfrac{\pi\,R^2\,h\, \dens^{3D}_0}{\epsilon_0}
\end{array}\right\}
\Longrightarrow`$
**$`\mathbf{\overrightarrow{E}=\dfrac{R^2\,\dens^{3D}_0}{2\,\epsilon_0\,\rho_M}\,\overrightarrow{e_{\rho}}}`$**
......
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