A simple model for an atom has a tiny (point-like) nucleus with charge + is located at the center of a uniform sphere of charge with radius and total charge -. The atom is placed in a uniform electric field which displaces the nucleus as shown. Find:
a) The equilibrium separation of the nucleus from the center of the spherical electron cloud;
b) The approximate average polarization density (dipole moment per
unit volume) of the polarized atom.