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The classical theory of electric and magnetic fields, both in the static and dynamic case. It also covers general questions about magnets, electric attraction/repulsion, etc. Distinct from electrical-engineering.

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Generalizing the Lorentz force law in 4-vector notation

In Goldstein's Classical Mechanics chapter on special relativity page 298 the Lorentz force law: $$\textbf{f}=q\left\{-\nabla\phi + \frac{1}{c}\frac{\partial \textbf{A}}{\partial t}+\textbf{v}\times(\ …
2 votes
1 answer
200 views

How does the existence of a monopole affect the magnetic vector potential in gauss's law for... [duplicate]

Gauss's Law for magnetism is $$ \nabla \cdot B = 0 $$ This allows us to write the magentic field $B$ as the curl of another field the $\textbf{magnetic vector potential, } A$. $$ B=\nabla \times A $$ …