Three concentric spherical metallic shells A, B and C of radii a, b and c (a < b < c) have surface charge densities `sigma`, `-sigma` and `sigma` respectively.
`(i) Find the potential of the three shells A, B and C.
(ii) If the shells A and C are at the same potential, obtain the relation between the radii a, b and c.

Answer

1

Explanation

Given `V_(A) = V_(C)" "," " (sigma)/(epsi_(0)) (a-b+c) = (sigma)/(epsi_(0))((a^(2))/(c) - (b^(2))/(c) + C)`
`therefore a - b + C = (a^(2))/(c) + C ` or `a+ b =c`