PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION This problem is due at your first recitation meeting after WED 9/29. The problem should be written on a single sheet of paper (front and back), or if multiple sheets are used, staple them together. For full credit, the work must be neat, with clearly labeled diagrams. The labels must be in BOTH words and symbols. For each part of each problem, you must BRIEFLY explain your strategy in words, as well as neatly showing your physics equations and math, with proper units. E2. An infinitely long rod of radius R carries a uniform volume charge density rho (rho > 0). (a) Show how to use Gauss' Law to prove that the electric field inside this rod points radially outward and has magnitude E = (rho*r)/(2*epsilon_0). (10 points) (b) Find the potential difference between a initial radial position r_i and a final radial position r_f; i.e. find an expression for the potential at r_i subtracted from the potential at r_f. (16 points) (c) Choose potential equal zero at the central axis of the rod and find the potential as a function of r inside the rod (i.e. for r < R). Make a graph of your resulting potential function (plot V versus r). (7 points) (d) Instead of the case in (c), choose potential equal zero at the surface of the rod (i.e. at r=R) and find the potential as a function of r inside the rod (i.e. for r < R). Again make a graph of your resulting potential function (plot V versus r). (7 points)