22.45 - Concentric Spherical Shells. A small conducting spherical shell with inner radius a and outer radius b is concen- tric with a larger conducting spherical shell with inner radius c and outer radius d (Fig. P22.45). The inner shell has total charge +2q, and the outer shell has charge +4q. Figure P22.45 (a) Calculate the electric eld E (magni- tude and direction) in terms of q and the distance r from the common center of the two shells for (i) r (1. Graph 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) in- ner surface of the large shell; (iv) outer surface of the large shell? 22.57 - (a) An insulating sphere with Figure p225; radius a has a uniform charge density p. The sphere is not centered at the origin but at =b. Show that the electric eld inside the sphere ts given by E: p(r (10/360. (b) An insulating sphere of radius R has a spherical hole of radius a located within its volume and centered a distance 17 from the center of the sphere, where a