In this problem, we'll be dealing with electric fields and a conducting sphere.
(i) The charge enclosed at the center of the sphere is zero.
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. The inner shell has total charge +3q, and the outer shell has charge +5q.
(a) Calculate the magnitude and direction of electric field E in terms of q and the distance r from the common center of the two shells for
(i) r < a;
(ii) a < r < b;
(iii) b < r < c;
(iv) c < r < d;
(v) r > d.
(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?
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