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The capacitance of two concentric spheres of radii \( a \) and \( b \) becomes that of an isolated sphere when

  • A.the two radii become equal to one another
  • B.the inner radius tends to zero
  • C.the dielectric between them is removed
  • D.the outer radius tends to infinity

Answer: D

The concentric sphere formula reduces to \( 4\pi\epsilon a \) as the outer conductor recedes, which is exactly the isolated sphere result. Physically the return conductor has moved so far away that only the inner sphere matters.

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