A metallic sphere of radius R is carrying a charge Q. Then work done by an external agent in supplying on an additional charge Q to the sphere is

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7Q28πε0R

5Q212πε0R

3Q24πε0R

3Q28πε0R

answer is D.

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Detailed Solution

Capacitance of an isolated sphere, C=4πε0R∴Ui=Q22C=Q28πε0R,Uf=(2Q)22C=4Q22(4πε0R)=Q22πε0R∴W=Uf-Ui=Q22πε0R-Q28πε0R=3Q28πε0R

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