Difference between revisions of "Maxwell's Equations"

Revision as of 03:17, 14 March 2007

These are the Maxwell's Equations we will be using to solve for regions "I" and "II" in our approximation of the Michelson interferometer.

Gauss' Law:

Gauss' Law for Magnetism:

Faradays's Law:

Ampere's Law:

${\vec {\nabla }}\times {\vec {D}}={\frac {\rho _{ext}}{\epsilon _{0}}}$	(1)

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