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For that same pair of connected spheres, the field at the surface is greatest on

  • A.the wire joining them
  • B.the smaller sphere
  • C.the larger sphere
  • D.neither

Answer: B

Equal potential means the charge divides in proportion to radius, so the surface density, which is charge over area, varies inversely with radius. Since the surface field is proportional to that density, the smaller sphere carries the larger field, which is why a sharp point on a charged body is where a discharge begins.

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