Q.

Two concentric spheres of radii R and r have similar charges with equal surface densities (σ). What is the electric potential at their common centre

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a

σε0

b

σε0(R−r)

c

σε0(R+r)

d

none of the above

answer is C.

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Detailed Solution

Let Q and q be the charges on the spheres. The potential at the common centre will beV=14πε0×QR+14πε0×qr=1ε0Q4πR2×R+q4πr2×rBut   Q4πR2=q4πr2=σ∴ V=1ε0[σR+σr]=σε0(R+r)
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