The dome of a Van de Graaff generator receives a charge of 1 X 10^-4 C. Find the strength of the electric field in the following situations. (Hint: Review properties of conductors in electrostatic equilibrium. Also, use the points on the surface are outside a spherically symmetric charge distribution; the total charge may be considered to be located at the center of the sphere.)
(a) inside the dome
(b) at the surface of the dome, assuming it has a radius of 1.0 m
(c) 8.0 m from the center of the dome