Commit be261b85 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 176d06d3
Pipeline #16179 canceled with stage
...@@ -200,23 +200,24 @@ Image à faire ...@@ -200,23 +200,24 @@ Image à faire
<br> <br>
**$`\mathbf{\oint_{\Gamma_A}\overrightarrow{B}\cdot\overrightarrow{dl}}`$** **$`\mathbf{\oint_{\Gamma_A}\overrightarrow{B}\cdot\overrightarrow{dl}}`$**
$`\quad=\oint_{\varphi=0}^{\varphi=2\pi}\big(B_{\varphi}(\rho_M)\,\overrightarrow{e_{\varphi}}\big)\cdot \big(+\rho_M\,d\varphi\,\overrightarrow{e_{\varphi}}\big)`$ $`\quad=\oint_{\varphi=0}^{\varphi=2\pi}\big(B_{\varphi}(\rho_M)\,\overrightarrow{e_{\varphi}}\big)\cdot \big(+\rho_M\,d\varphi\,\overrightarrow{e_{\varphi}}\big)`$
<br>
$`\displaystyle\quad=\oint_{\varphi=0}^{\varphi=2\pi}B_{\varphi}(\rho_M)\,\rho_M\,\big(\overrightarrow{e_{\varphi}}\cdot \overrightarrow{e_{\varphi}}\big) d\varphi`$ $`\quad=\displaystyle\quad=\oint_{\varphi=0}^{\varphi=2\pi}B_{\varphi}(\rho_M)\,\rho_M\,\big(\overrightarrow{e_{\varphi}}\cdot \overrightarrow{e_{\varphi}}\big) d\varphi`$
<br>
$`\displaystyle\quad=\rho_M\,B_{\varphi}(\rho_M)\,\oint_{\varphi=0}^{\varphi=2\pi}d\varphi`$ $`\quad=\displaystyle\quad=\rho_M\,B_{\varphi}(\rho_M)\,\oint_{\varphi=0}^{\varphi=2\pi}d\varphi`$
<br>
**$`\mathbf{\displaystyle\quad= 2\pi\,\rho_M\, B_{\varphi}(\rho_M)}`$** **$`\quad=\mathbf{\displaystyle\quad= 2\pi\,\rho_M\, B_{\varphi}(\rho_M)}`$**
<br>
* Si *$`\mathbf{\overrightarrow{dl}=-\,\rho_M\,\overrightarrow{e_{\varphi}}}`$* : * Si *$`\mathbf{\overrightarrow{dl}=-\,\rho_M\,\overrightarrow{e_{\varphi}}}`$* :
<br> <br>
*$`\mathbf{\oint_{\Gamma_A}\overrightarrow{B}\cdot\overrightarrow{dl}}`$* *$`=\mathbf{\oint_{\Gamma_A}\overrightarrow{B}\cdot\overrightarrow{dl}}`$*
$`\displaystyle\quad=\oint_{\varphi=0}^{\varphi=2\pi}\big(B_{\varphi}(\rho_M)\,\overrightarrow{e_{\varphi}}\big)\cdot \big(-\rho_M\,d\varphi\,\overrightarrow{e_{\varphi}}\big)`$ $`\quad=\displaystyle\quad=\oint_{\varphi=0}^{\varphi=2\pi}\big(B_{\varphi}(\rho_M)\,\overrightarrow{e_{\varphi}}\big)\cdot \big(-\rho_M\,d\varphi\,\overrightarrow{e_{\varphi}}\big)`$
<br>
$`\displaystyle\quad=-\oint_{\varphi=0}^{\varphi=2\pi}B_{\varphi}(\rho_M)\,\rho_M\,\big(\overrightarrow{e_{\varphi}}\cdot \overrightarrow{e_{\varphi}}\big) d\varphi`$ $`\quad=\displaystyle\quad=-\oint_{\varphi=0}^{\varphi=2\pi}B_{\varphi}(\rho_M)\,\rho_M\,\big(\overrightarrow{e_{\varphi}}\cdot \overrightarrow{e_{\varphi}}\big) d\varphi`$
<br>
$`\displaystyle\quad=-\rho_M\,B_{\varphi}(\rho_M)\,\oint_{\varphi=0}^{\varphi=2\pi}d\varphi`$ $`\quad=\displaystyle\quad=-\rho_M\,B_{\varphi}(\rho_M)\,\oint_{\varphi=0}^{\varphi=2\pi}d\varphi`$
<br>
*$`\mathbf{\displaystyle\quad= -\,2\pi\,\rho_M\, B_{\varphi}(\rho_M)}`$* *$`\quad=\mathbf{\displaystyle\quad= -\,2\pi\,\rho_M\, B_{\varphi}(\rho_M)}`$*
#### Quelle surface ouverte $`\mathscr{S}_A`$ s'appuyant sur $`\Gamma_A`$ choisir ? #### Quelle surface ouverte $`\mathscr{S}_A`$ s'appuyant sur $`\Gamma_A`$ choisir ?
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