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Assertion: Maxwell added the displacement current term to Ampere's law. Reason: without it the equations contradict the conservation of charge.

  • A.both the assertion and the reason are true but the reason does not explain the assertion
  • B.the assertion is true but the reason given for it is false
  • C.the assertion is false although the reason offered is a true statement in itself
  • D.both the assertion and the reason are true and the reason explains the assertion

Answer: D

Taking the divergence of the unmodified law would force the current density to be solenoidal always, which fails whenever charge accumulates. The extra term makes the total current solenoidal instead, which is consistent, and that inconsistency is precisely what prompted the addition.

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