Concentric Spherical Shells A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d (Fig. ). The inner shell has total charge +2q, and the outer shell has charge +4q.
(a) Calculate the electric field (magnitude and direction) in terms of q and the distance r from the common center of the two shells for (i) r d. Show your results in a graph of the radial component of E as a function of r.
(b) What is the total charge on the (i) inner surface of the small shell; (ii) outer surface of the small shell; (iii) inner surface of the large shell; (iv) outer surface of the large shell?