Problem 2 There is a spherical thin shell of radius a. It carries uniform surface charge with a density of p, C/m². 1. Find the electric fields E at locations with distances R from the center of the spherical shell. Find E for points outside the spherical shell and inside the shell. 2. Find the potential V for points outside the spherical shell and inside the shell. (The reference point for V is set at infinity.) Plot V as a function of R.

Fig: 1