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The consequence of Faraday's law for the electrostatic potential is that in a time-varying field

  • A.the potential becomes a vector quantity
  • B.the potential is unchanged
  • C.the potential must be measured relative to the moving conductor
  • D.a scalar potential alone no longer describes the electric field

Answer: D

With a non-zero curl the electric field cannot be written as minus the gradient of a scalar alone; the vector potential's time derivative must be included as well. That is why a voltage round a loop threaded by changing flux depends on the path taken.

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