A Van de Graff generator has a spherical metal shell as an electrode which is at a potential 15 × 10 6 V . If the dielectric strength of the surrounding medium is 5 × 10 7 Vm - 1 then the diameter of the shell is

Step-by-step solution

Given, Potential, V = 15 × 10 6   V and dielectric strength, E = 5 × 10 7   V   m - 1 so the radius of the cell is, r = V E = 15 × 10 6 5 × 10 7   = 30   cm , hence the diameter will be, d = 2 r = 2 × 30 = 60   cm