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  4. If a charged spherical conductor of radius 10 cm has potential V at a point distant 5 cm from its centre, then the potential at a point distant 15 cm from the centre will be:

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Q. If a charged spherical conductor of radius 10 cm has potential V at a point distant 5 cm from its centre, then the potential at a point distant 15 cm from the centre will be:

JIPMERJIPMER 2001Electric Charges and Fields

Solution:

We know that the potential inside and on the surface of a spherical conductor is same so $ V={{V}_{surface}}=\frac{q}{10}\text{stat}\,\text{volt} $ $ {{V}_{out}}=\frac{q}{15}\text{stat}\,\text{volt} $ $ \frac{{{V}_{out}}}{V}=\frac{2}{3} $ so $ {{V}_{out}}=\frac{2}{3}V $