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1)Derive the charge continuity equation from first principles,stating clearly any assumptions made. 2)Show that the time...

1)Derive the charge continuity equation from first principles,stating clearly any assumptions made.

2)Show that the time independent form of Ampere's law,together with the continuity equation,give a result which is at variance with the experiment.

3)Derive the time-dependent form of Ampere's law from the requirement that it be consistent with the continuity equation and the other laws of electromagnetic induction.

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