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 byV=14πϵ0[Q1r+Q2R2]=k[Q1r+Q2R2][where k=14πϵ0].

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