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Question

Two concentric spheres of radii R1 and R2>R2>R1 carry charges Q1 and Q2 respectively. The potential at a point in between the two spheres and at a distance r from the centre will be

A
k(Q1R1+Q2R2)
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B
k(Q1+Q2r)
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C
k(Q1r+Q2R2)
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D
k(Q1R1+Q2r)
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Solution

The correct option is C k(Q1r+Q2R2)
The potential at every point inside the hollow sphere Q2 is constant and is equal to the on its surface. The potential due to Q1 outside its surface at P is at a distance r.
The potential at P is given by
V=14πϵ0[Q1r+Q2R2]
=k[Q1r+Q2R2][where k=14πϵ0].
724870_698294_ans_dfb18d5c887d4f2688cc6147f0921001.jpg

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