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Q.

A point charge +Q is located at out side point, at a distance of r from the centre of an uncharged conducting sphere of radius R. Find the electric field and electric potential at the centre of the sphere due to induced charges on the sphere ?

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a

14π0Qr2and zero

b

zero and 14πϵ0QR

c

14πϵ0QR2 and 14πϵ0QR

d

14πϵ0QR2and zero

answer is D.

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Detailed Solution

Induced charge is on the surface of conducting sphere so E=14πε0Qr2 Induced negative and positive charges are equal and equidistant from center , So due to induced charges potential at center VCentre =0

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