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Benedict Irwin added Maxwell's Equations.tex
about 10 years ago
Commit id: 89181c6329dbe76be808419b8bdb9037d8334c1b
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\section{Maxwell's Equations}
In SI units we have the Faraday-Gauss Law \begin{equation}
\partial_\alpha F^{ \alpha \beta} = \mu_0 J_{e}^{\beta}
\end{equation}
The Ampere-Gauss Law \begin{equation}
\partial_\alpha \star F^{\alpha \beta} = \frac{\mu_0}{c}J_{m}^{\beta}
\end{equation}
and the Lorentz force law \begin{equation}
\frac{dp_\alpha}{d\tau} =q_eF_{\alpha \beta}v^{\beta}+q_m\star F_{\alpha \beta}v^{\beta}
\end{equation}
But we now have the different form for the Hodge Dual $\star F$