Di ff erential form In free space the laws of electrodynamics take the following differential form. They were
first correctly formulated by J.C. Maxwell, and are known as Maxwell's equations.
These equations imply Faraday's law of induction, Coulomb's law for a static electric
field, Amp`eres law as modified by Maxwell for production of magnetic field either by
conduction currents or by “displacement currents”, and the fact that we as yet have
found no isolated magnetic poles.
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