A nonuniform, but spherically symmetric, distribution of charge has a charge density p(r) given as follows: p(r) = po (1 – r/R) for r < R p(r) = 0 for r > R where po = 3Q/TR° is a positive constant. (a) Show that the total charge contained in the charge distribution is Q. (b) Show that the electric field in the region r > Ris identical to that produced by a point charge Q at r = 0. (c) Obtain an expression for the electric field in the region r < R. (d) Graph

A nonuniform, but spherically symmetric, distribution of charge has a charge density p(r) given as follows: p(r) = po (1 – r/R) for r < R p(r) = 0 for r > R where po = 3Q/TR° is a positive constant. (a) Show that the total charge contained in the charge distribution is Q. (b) Show that the electric field in the region r > Ris identical to that produced by a point charge Q at r = 0. (c) Obtain an expression for the electric field in the region r < R. (d) Graph