Figure 3: == x2 + y2 + z2 3. Sphere with electric charge +Q and Infinite sphere at Infinity with electric chare-Q. Consider a sphere of radius R field with electric charge of constant density p. (a) What is the units for the charge density p? (b) Express the total charge of the sphere in terms of the charge density (c) Uses Gauss's Law to determine the electric field inside and outside the sphere. Express your answer in two forms (l)in terms of total charge and (ii)in terms of charge density p. (d) Make a qualitative but accurate graph of the electric field from 0 to 20 (6) Compute the potential relative to Infinity V-V at the following points (1) F R (1) F R ( R/2() = 0 (1) Make a qualitative but accurate graph of the potential from 0 to 0. (6) The work required to memble all these charge can be obtained by Integrating the energy density from 0 tor . Show that the energy # ?? :