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The capacitance of an isolated conducting body is defined as

  • A.the charge it carries per unit of its potential
  • B.the potential it reaches per unit of charge placed on it
  • C.the energy it stores per unit of charge placed on it
  • D.the field at its surface per unit of charge placed on it

Answer: A

It is a purely geometrical property, depending on the size and shape of the body and on the medium surrounding it but not on how much charge it happens to carry. For a sphere it comes out as \( 4\pi\epsilon_0 a \), which is the standard result and the reason capacitance is measured in farads per metre of characteristic dimension.

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