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The potential of a uniformly charged disc on its axis, close to the surface, approaches

  • A.a constant independent of the distance from the disc
  • B.the potential of a point charge of the same total charge
  • C.zero
  • D.a value falling linearly with distance from the disc

Answer: D

Near the surface the disc behaves as an infinite sheet, whose field is uniform, and the potential of a uniform field falls linearly with distance. Far away the same disc behaves as a point charge and the potential falls as the inverse first power, so the two regimes are quite distinct and the crossover occurs at distances comparable with the radius.

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