CSWeek07

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Maxwell’s Equations (differential form):

(1)   \begin{eqnarray*} \vec{\nabla}\cdot\vec{E} &=& \frac{\rho}{\epsilon_0} \\ \vec{\nabla}\cdot\vec{B} &=& 0 \\ \vec{\nabla}\times\vec{E} &=& -\frac{\partial\vec{B}}{\partial t} \\ \vec{\nabla}\times\vec{B} &=& \mu_0\vec{J}+\mu_0\epsilon_0\frac{\partial\vec{E}}{\partial t} \end{eqnarray*}

Maxwell’s Equations (integral form):

(2)   \begin{eqnarray*} \oint \vec{E}\cdot d\vec{A} &=& \frac{Q}{\epsilon_0} \\ \oint \vec{B}\cdot d\vec{A} &=& 0 \\ \oint \vec{E}\cdot d\vec{l} &=& -\frac{\partial\int\vec{B}\cdot d\vec{A}}{\partial t} \\ \oint \vec{B}\cdot d\vec{l} &=& \mu_0 I+\mu_0\epsilon_0\frac{\partial\int\vec{E}\cdot d\vec{A}}{\partial t} \end{eqnarray*}