Difference between revisions of "Maxwell's Equations"
| Line 17: | Line 17: | ||
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) |} |
Need to add possibly derivation of wave equation and definitely Maxwell's equation in prescence | Need to add possibly derivation of wave equation and definitely Maxwell's equation in prescence | ||
Revision as of 15:15, 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:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\nabla \cdot E} = 0 }
Gauss' Law for Magnetism:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\nabla \cdot B} = 0}
Faradays's Law:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\nabla \times E} + \frac{\partial \boldsymbol{B}}{\partial t}= 0}
Ampere's Law:
Need to add possibly derivation of wave equation and definitely Maxwell's equation in prescence| Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vec{\nabla}\times\vec{D}=\frac{\rho_{ext}}{\epsilon_0}} | (1) |