Maxwell Equations $$ \nabla \times \vec{E} = -\frac{\partial{\vec{B}}}{\partial t} $$ $$ \nabla \times \vec{H} = \vec{J} + \frac{\partial{\vec{D}}}{\partial t} $$ $$ \nabla \cdot \vec{D} = \rho_c $$ Gauss's Law $$ \nabla \cdot \vec{B} = 0 $$

Consituitive Relations $$ \vec{D} = \epsilon \vec{E} $$ $$ \vec{B} = \mu \vec{H} $$ $$ \vec{J} = \sigma \vec{E} $$


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