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Assertion: the magnetic flux density can be written as the curl of a vector potential. Reason: the divergence of a curl vanishes identically.

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

Answer: B

Since the flux density has zero divergence everywhere, it can consistently be represented as a curl, and the identity guarantees that any curl has zero divergence. The vector potential is not unique, since the gradient of any scalar may be added to it.

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