Difference between revisions of "Maxwell's Equations"
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== In Free Space == | == In Free Space == | ||
| − | These are the Maxwell's Equations we will be using to solve for " | + | 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: | ||
{| 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: | 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: | 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: | 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)|} |
| − | |} | + | |
{| class="wikitable" style="margin: 1em auto 1em auto" | {| class="wikitable" style="margin: 1em auto 1em auto" | ||
Revision as of 03:16, 14 March 2007
In Free Space
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:
| align="right" width="200"| (1) |}
Gauss' Law for Magnetism:
|
