For the situation shown in figure, mark the correct statement(s).

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Potential of the conductor is q/4πε0(d+R)

Potential of the conductor is q/4πε0d

Potential of the conductor cannot be determined as the nature of distribution of induced charges is not known.

Potential at point B due to the induced charges is −qR/4πε0(d+R)d

answer is A.

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Detailed Solution

As no charge is present inside the conductor, potential at any point inside the conductor is same as that of the potential of conductor. So potential of the conductor = potential at the center =Vq+Vinduced charges i.e., Vconductor =q4πε0(d+R)+0As the total induced charge at conductor's surface is equal to zero, the potential at center due to the induced charges is zero. For point BVconductor =Vat point B=Vq+Vinduced charges Vinduced charges =q4πε0(d+R)−q4πε0d=−qR4πε0d(d+R)

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