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The capacitance of a conducting sphere of radius r with a total charge of q uniformly distributed on its surface is
1. proportional to qr
2. independent of r
3. proportional to q/r
4. independent of q

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Correct Answer - Option 4 : independent of q

The capacitance of a spherical capacitor is given by:

C = 4πε0εrr

Where ε0 is the absolute permittivity

εr is the relative permittivity

r is the radius of the spherical conductor

From the above expression, it is clear that the capacitance, C is independent of charge q.

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