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Question

# A metal ball of radius R is placed concentrically inside a hollow metal sphere of inner radius 2R and outer radius 3R. The ball is given a charge +2Q and the hollow sphere a total charge −Q. The electrostatic potential energy of this system is:

A
7Q224πϵ0R
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B
5Q216πϵ0R
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C
5Q28πϵ0R
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D
47120Q2πϵ0R
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Solution

## The correct option is A 7Q224πϵ0RRadius =Rinner radius =2Router radius =3Rcharge =+2Qhollow sphere a total charge =−QThe electrostatic potential energy of this system=By indication, inner wall of hollow sphere is induced with share −2Q and its outer surface with charge.Two conducting concentric, hollow sphere A and B have radii a and b respectively.V=14πϵ0×QRwhen, it is given that,V1=14πϵ02Q2RV11=14πϵ0Q3RV=Q4πϵ0(2Q2R+Q3R) =14πϵ06Q+2Q6R =7Q224πϵ0R

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