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Gauss' Law:
Gauss' Law:
{| class="wikitable" style="margin: 1em auto 1em auto"
<math>\boldsymbol{\nabla \cdot E} = 0 </math>
|<math>\boldsymbol{\nabla \cdot E} = 0 </math>|align="right" width="200"| (1)
|}
Gauss' Law for Magnetism:
Gauss' Law for Magnetism:
<math>\boldsymbol{\nabla \cdot B} = 0</math>
{| class="wikitable" style="margin: 1em auto 1em auto"
|<math>\boldsymbol{\nabla \cdot B} = 0</math>|align="right" width="200"| (2)
|}
Faradays's Law:
Faradays's Law:
<math>\boldsymbol{\nabla \times E} + \frac{\partial \boldsymbol{B}}{\partial t}= 0</math>
{| class="wikitable" style="margin: 1em auto 1em auto"
|<math>\boldsymbol{\nabla \times E} + \frac{\partial \boldsymbol{B}}{\partial t}= 0</math>|align="right" width="200"| (3)
|}
Ampere's Law:
Ampere's Law:
<math>\boldsymbol{\nabla \times B} - \mu_0\epsilon_0\frac{\partial \boldsymbol{E}}{\partial t}= 0 </math>
{| class="wikitable" style="margin: 1em auto 1em auto"
|<math>\boldsymbol{\nabla \times B} - \mu_0\epsilon_0\frac{\partial \boldsymbol{E}}{\partial t}= 0 </math>|align="right" width="200"| (4)
|}
{| class="wikitable" style="margin: 1em auto 1em auto"
|<math>\vec{\nabla}\times\vec{D}=\frac{\rho_{ext}}{\epsilon_0}</math>
|align="right" width="200"| (1)
|}