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Questions  

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

a
σε0
b
σε0(R−r)
c
σε0(R+r)
d
none of the above

detailed solution

Correct option is C

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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