Difference between revisions of "Maxwell's Equations"

Revision as of 03:14, 14 March 2007

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

Gauss' Law:

align="right" width="200"\| (1)

Gauss' Law for Magnetism:

align="right" width="200"\| (2)

Faradays's Law:

align="right" width="200"\| (3)

Ampere's Law:

align="right" width="200"\| (4)

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

@@ Line 4: / Line 4: @@
 Gauss' Law:
+{| class="wikitable" style="margin: 1em auto 1em auto"
-<math>\boldsymbol{\nabla \cdot E} = 0 </math>
+|<math>\boldsymbol{\nabla \cdot E} = 0 </math>|align="right" width="200"| (1)
+|}
 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:
-<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:
-<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)
+|}