Commit 91129cd4 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 8fc92773
Pipeline #12741 canceled with stage
...@@ -105,7 +105,19 @@ Attention !!! En période très préliminaire d'élaboration et de construction ...@@ -105,7 +105,19 @@ Attention !!! En période très préliminaire d'élaboration et de construction
= \displaystyle \oint_{\Gamma\leftrightarrow S} \overrightarrow{X}\cdot\overrightarrow{dl}`$*. = \displaystyle \oint_{\Gamma\leftrightarrow S} \overrightarrow{X}\cdot\overrightarrow{dl}`$*.
* *Maxwell-Gauss* : * *Maxwell-Gauss* :
À tout instant t, et pour tout volume $`\tau`$ :
$`\forall \overrightarrow{r}, div \overrightarrow{E} = \dfrac{\dens}{\epsilon_0}`$
$`\Longrightarrow \iiint_{\tau} div \overrightarrow{E}\,d\tau = \iiint_{\tau}\dfrac{\dens}{\epsilon_0}\,d\tau`$
$`\left.\begin{array}{l}
\Longrightarrow \iiint_{\tau} div \overrightarrow{E}\,d\tau = \iiint_{\tau}\dfrac{\dens}{\epsilon_0}\,d\tau \\
\displaystyle\iiint_{\tau} div\;\overrightarrow{X} \cdot d\tau = \displaystyle
\oiint_{S\leftrightarrow\tau} \overrightarrow{X}\cdot\overrightarrow{dS}
\end{array}\right\}
\Longrightarrow`$
**$`\mathbf{\cdot\cdot\cdot}`$**
$`\Longrightarrow \iiint_{\tau} div \overrightarrow{E}\,d\tau = \iiint_{\tau}\dfrac{\dens}{\epsilon_0}\,d\tau`$
$`\displaystyle\iint_S \overrightarrow{rot} \,\overrightarrow{E}\cdot \overrightarrow{dS} $`\displaystyle\iint_S \overrightarrow{rot} \,\overrightarrow{E}\cdot \overrightarrow{dS}
= -\displaystyle\iint_{S \leftrightarrow \tau} \dfrac{\partial \overrightarrow{B}}{\partial t}\cdot \overrightarrow{dS}`$ = -\displaystyle\iint_{S \leftrightarrow \tau} \dfrac{\partial \overrightarrow{B}}{\partial t}\cdot \overrightarrow{dS}`$
$= - \dfrac{\partial}{\partial t} \left( \displaystyle\iint_S \overrightarrow{B}\cdot \overrightarrow{dS}\right)`$ $= - \dfrac{\partial}{\partial t} \left( \displaystyle\iint_S \overrightarrow{B}\cdot \overrightarrow{dS}\right)`$
......
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