surface of the hollow sphere? On the outer surface? (b) Sketch the electric field lines of the system. (c) Derive expressions for the electric field magnitude and for the electric potential in terms of the distance r from the center for the regions r < a, a < r < b, b < r < c, and r > c. (Take the electric potential to vanish at r = ∞.) (d) Graph the magnitude of the electric field and the electric potential

A solid conducting sphere carrying charge q has radius a. It is inside a concentric hollow conducting sphere with inner radius b and outer radius c. The hollow sphere has no net charge. 

(a) What is the charge on the inner surface of the hollow sphere? On the outer surface?

(b) Sketch the electric field lines of the system.

(c) Derive expressions for the electric field magnitude and for the electric potential in
terms of the distance r from the center for the regions r < a, a < r < b, b < r < c, and r > c. (Take the electric potential to vanish at r = ∞.)
(d) Graph the magnitude of the electric field and the electric potential as a function of r from r = 0 to r = 2c.