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Show that the capacitance of an insulated spherical conductor is directly proportional to the radius of the conductor. |
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Answer» Solution :Since the capacitance of a conductor C is given by `C=(Q)/(V)` . . (i) Potential of sphere of radius R is given by `V=(1)/(4piepsi_(0))(Q)/(r)` . . (ii) Putting eq. (ii) in eq. we GET `C=(Q)/((1)/(4piepsi_(0))(Q)/(r))=4piepsi_(0)r` or `Cpropr` i.e. capacitance of a spherical conductor is directly proportional to the radius of the conductor. |
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