Introduction to Electrodynamics · Problem 5.21

Magnetostatics — David J. Griffiths

Physics · amperes-law-consistency-divergence-curl

Problem

Is Ampère's law consistent with the general rule (Eq. 1.46) that divergence-of-curl is always zero? Show that Ampère's law cannot be valid, in general, outside magnetostatics. Is there any such ``defect'' in the other three Maxwell equations?

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