A small conducting sphere of radius is lying concentrically inside a bigger hollow conducting sphere of radius The bigger and smaller spheres are charged with and (Q>q) and are insulated from each other. The potential difference between the spheres will be

Step-by-step solution

The potential V₁ of smaller sphere is given by V₁= 1 4 ₀ q r + 1 4 ₀ Q R The potential V ₂ of bigger sphere is given by So, the potential difference between the plates V = V ₁- V ₂ or V = 1 4 ₀ q r + 1 4 ₀ Q R - 1 4 ₀ Q R - 1 4 ₀ q R = 1 4 ₀ q r - 1 4 ₀ q R = 1 4 ₀ ( q r - q R )