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A zero field in a region implies that the potential there is

  • A.rising linearly across the region
  • B.undefined, since no reference can be established
  • C.constant, though not necessarily zero
  • D.zero throughout the region

Answer: C

The field is the negative gradient, so a vanishing field means a vanishing gradient and hence a constant potential. Confusing a constant potential with a zero one accounts for a good many mistakes in conductor problems.

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