Is Ampere's law consistent with the general rule (Eq. 1.46) that divergence-of-curl is always zero? Show that

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

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