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== In Free Space ==

== In Free Space ==

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

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:

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|<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:

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|<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:

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|<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:

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|<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)|}

|}

 

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