The dome of a Van de Graaff generator receives a charge of 2.0 × 10−4 C. Find the strength of the electric field
(a) Inside the dome;
(b) At the surface of the dome, assuming it has a radius of 1.0 m; and
(c) 4.0 m from the center of the dome. [Hint: See Section 15.6 to review properties of conductors in electrostatic equilibrium. Also, use the fact that 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.]