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Maxwell added the displacement current to Ampere's law in order to

  • A.account for the resistance of the dielectric between capacitor plates
  • B.explain the force between two current-carrying conductors
  • C.allow the equations to be written in differential form
  • D.make the equations consistent with conservation of charge

Answer: D

Taking the divergence of the unmodified Ampere law forces the divergence of the current density to vanish, which contradicts the continuity equation whenever charge accumulates. The extra term repairs that at a stroke and predicts electromagnetic waves as a bonus.

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