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Mention the need for displacement current (inconsistency of Ampere’s circuital law) and hence define displacement current ? 

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Maxwell found an inconsistency in the Ampere’s law and suggested the existence of an additional current, called displacement current, to remove this inconsistency. This displacement current is due to time-varying electric field and is given by

and acts as a source of magnetic field in exactly the same way as conduction current.

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