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Questions  

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

a
σ/ε0
b
σε0(R−r)
c
σε0(R+r)
d
none of the above

detailed solution

Correct option is C

Let Q and g be the charges on the spheres. The potential at their common centre is given byV=14πε0⋅QR+14πε0⋅qr=1ε0Q4πR2×R+q4πr2×r=1ε0[σR+σr]=σε0(R+r)∵σ=Q4πR2=q4πr2

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