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Between the conductors of a charged coaxial cable, the field varies as

  • A.a constant
  • B.the inverse of the radius
  • C.the inverse square of the radius
  • D.the radius itself

Answer: B

A coaxial Gaussian cylinder encloses the fixed charge on the inner conductor and has an area growing linearly with radius, so the field falls as the first power. Outside the outer conductor the enclosed charge is zero and so is the field.

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