Commit c10dab7a authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 04677121
Pipeline #16216 canceled with stage
......@@ -236,20 +236,20 @@ $`\Longrightarrow\quad\overrightarrow{dl} \cdot \overrightarrow{B}=0`$
* Si **$`\mathbf{\overrightarrow{dl}_{DA}=+\,dz\,\overrightarrow{e_z}}`$** :
<br><br>
**$`\mathbf{\oint_{\Gamma_A}\overrightarrow{B}\cdot\overrightarrow{dl}}`$** $`\displaystyle\,=\int_{DA} \overrightarrow{B}(\rho_{DA})\cdot\overrightarrow{dl}_{DA} + \int_{AB} \underbrace{\overrightarrow{B}\cdot\overrightarrow{dl}_{AB}
{\color{blue}{=\,0}}`$
$`\displaystyle\quad\quad\quad\quad +\int_{BC} \underbrace{\overrightarrow{B}(\rho_{BC})}_{\color{blue}{=\,0}}\cdot\overrightarrow{dl}_{BC} + \int_{CD}} \underbrace{\overrightarrow{B}\cdot\overrightarrow{dl}_{CD}
{\color{blue}{=\,0}}`$
**$`\mathbf{\oint_{\Gamma_A}\overrightarrow{B}\cdot\overrightarrow{dl}}`$** $`\displaystyle\,=\int_{DA} \overrightarrow{B}(\rho_{DA})\cdot\overrightarrow{dl}_{DA} + \int_{AB} \underbrace{\overrightarrow{B}\cdot\overrightarrow{dl}_{AB}}
_{\color{blue}{=\,0}}`$
$`\displaystyle\quad\quad\quad\quad +\int_{BC} \underbrace{\overrightarrow{B}(\rho_{BC})}_{\color{blue}{=\,0}}\cdot\overrightarrow{dl}_{BC} + \int_{CD}} \underbrace{\overrightarrow{B}\cdot\overrightarrow{dl}_{CD}}
_{\color{blue}{=\,0}}`$
<br>
$`\undersize{\color{blue}{\text{le sens de parcours est indiqué par l'ordre des bornes d'intégration}}}`$
$`\footnotesize{\color{blue}{\text{le sens de parcours est indiqué par l'ordre des bornes d'intégration}}}`$
<br>
$`\displaystyle\quad\quad\quad\quad = \int_D^A \underbrace{\overrightarrow{B}(\rho_{BC})}\cdot\,dz\,\overrightarrow{e_z}`$
<br>
$`\displaystyle\quad\quad\quad\quad = \int_{z=z_0}^{z=z_0+h} \underbrace{B_z(\rho_{BC})}\,dz`$
<br>
$`\displaystyle\quad\quad\quad\quad = \Big[ B_z(\rho_{DA})\,z\big]_{z=z_0}^{z=z_0+h}`$
$`\displaystyle\quad\quad\quad\quad = \Big[ B_z(\rho_{DA})\times z\Big]_{z_0}^{z_0+h}`$
<br>
$`\color{blue}{M\in [DA]\;\Longrightarrow \;\rho_{DA}=\rho_M`$
$`$`\footnotesize{\color{blue}{M\in [DA]\;\Longrightarrow \;\rho_{DA}=\rho_M`}}$
<br>
**$`\displaystyle\quad\quad\quad\quad = h\; B_z(\rho_M)`$**
......
Markdown is supported
0% or
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment