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  4. A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at a distance of 2 cm from the centre of sphere is

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Q. A hollow metal sphere of radius $5\, cm$ is charged such that the potential on its surface is $10 \,V$. The potential at a distance of $2 \,cm$ from the centre of sphere is

Chhattisgarh PMTChhattisgarh PMT 2010

Solution:

Inside the conducting charged sphere electric field is zero and potential remains constant at all points and equals to the potential at the surface. Hence, the potential at a distance of $ 2\,cm $ from the centre of sphere is $ 10\,V $ .