with detailed solution handwritten used the given formulas

In this chapter we learned how to calculate electric ux a = J'E . dA we also learned from Gauss's law that '1}:9'\" ti from this by using the appropriate gaussian surface, we were able to calculate the electric eld due to different charge distributions [see table in Chapter 22 summary of your book] We also learned how to calculate the potential energy.r for two point charges and the electric potential energy of various charge distributions. We also dened the electric potential as the electric potential energy per unit charge for a collection of charges _ 1 g V _ 4mg r; and for a charge distribution 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 (@) Calculate the electric field E (magni- tude and direction) in terms of q and the distance r from the common center of the two shells for (i) r d. 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