Covariant Formulation of Classical Electromagnetism - Maxwell's Equations in Matter

Maxwell's Equations in Matter

The result is that Ampère's law,

,

and Gauss's law,

,

combine into one equation:

Gauss-Ampère law (matter)

The bound current and free current as defined above are automatically and separately conserved

Read more about this topic:  Covariant Formulation Of Classical Electromagnetism

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