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Equations de Maxwell

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$\frac{\partial\rho}{\partial t} + \frac{\partial j}{\partial x} = 0$
Equation de conservation de la charge 1D
$\frac{\partial\rho}{\partial t} + div\vec{j} = 0$
Equation générale de conservation de la charge
$div\vec{E} = \frac{\rho}{\epsilon_{0}}$
Maxwell-Gauss
$div\vec{B} = 0$
Maxwell-flux
$\vec{rot}\vec{E} = -\frac{\partial\vec{B}}{\partial t}$
Maxwell-Faraday
$\vec{rot}\vec{B} = \mu_{0}\vec{j} + \mu_{0}\epsilon_{0}\frac{\partial\vec{E}}{\partial t}$
Maxwell-Ampère
$div\vec{E} = \frac{\rho}{\epsilon_{0}}$
Maxwell-Gauss dans l'ARQS
$div\vec{B} = 0$
Maxwell-flux dans l'ARQS
$\vec{rot}\vec{E} = -\frac{\partial\vec{B}}{\partial t}$
Maxwell-Faraday dans l'ARQS
$\vec{rot}\vec{B} = \mu_{0}\vec{j}$
Maxwell-Ampère dans l'ARQS
$div\vec{j} = 0$
Equation de conservation de la charge dans l'ARQS