Consider a dielectric sphere of radius R and dielectric constant e_r. The sphere contains free charges that have been uniformly distributed with density rho. (a) Show that electric field inside the sphere is given by E = [rho*r /(3*e_0*e_r)]* r hat where r hat is the unit vector pointing in the radial direction. (b) Show that the electric field outside the sphere is E = [rho*R³]/[3*e_0*r²] * r hat (c) Calculate the potential V at the centre of the sphere compared to that at infinity. Any tips/hints that can help start me off will be appreciated.