A uniform electric field of strength E = 100 V/m is generated inside a ball made of uniform isotropic dielectric with permittivity ε = 5.00. The radius of the ball is R = 3.0 cm. Find the maximum surface density of the bound charges and the total bound charge of one sign.
Within the ball the electric field can be resolved into normal and tangential components.
( Since we are interested in the total charge of one sign we must intergrate cos θ from 0 to 1 only).
