First slide
Electrostatic potential
Question

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

Easy
Solution

Let Q and g be the charges on the spheres. The potential at their common centre is given by
V=14πε0QR+14πε0qr=1ε0Q4πR2×R+q4πr2×r=1ε0[σR+σr]=σε0(R+r)σ=Q4πR2=q4πr2

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