Problem: A spherical system of charge is shown to the right. The system is composed of a central point charge with charge +2Q. The point charge is imbedded in the center of a spherical volume of charge with volume charge density p and radius a. Surrounding the volume charge is a thin spherical shell of charge with radius (3. The shell has surface charge density a. For each region clearly state the charge enclosed by the Gaussian surface. (a)To convert the general form of Gauss' law to one useful in this symmetry, the substi- tution 772. :> f is made in fS(E'-.)dA. Why can this be done? b Calculate the electric field in region I. d e If the total charge on the shell were 72Q and the total charge on the volume charge is +Q not including the charge of the point charge. draw the electric field everywhere using 4 lines per Q. ( ( ( Calculate the electric field in region III. ( ) c)Ca|cu|ate the electric field in region II. ) )