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Close to the surface of a large uniformly charged disc, on its axis, the field approaches that of

  • A.an infinite line charge along the diameter of the disc
  • B.zero
  • C.an infinite sheet of the same surface density
  • D.a point charge equal to the total charge of the disc

Answer: C

At a distance small compared with the radius the disc looks unbounded from the point in question, so the field tends to \( \rho_s/2\epsilon_0 \). At the other extreme, far away, it tends to the point charge form instead.

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