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An equipotential surface is one on which

  • A.no charge can be placed without doing work
  • B.the potential has the same value at every point
  • C.the field has the same magnitude at every point
  • D.the charge density is uniform throughout

Answer: B

Moving a charge along such a surface requires no work, which means the field can have no component along it. The field is therefore everywhere normal to an equipotential, and the surface of a conductor in equilibrium is one.

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