Quadrupole potential given a charge distribution p(7)= q8(f-ai)+qô(f+ai)- qô(f-a2) - qố (f+ā2), where q > 0 and ai and a2 given in cartesian coordinates by ai = (a,0,0) and ā2 = (0, a,0) with a > 0. are a) calculate the resulting potential p and the electric field b) what is the electrostatic energy of the charge distribution (without the self-energy contri- bution of the point charges themselves)? c) determine the dipole moment p= f d*r'rp(f) and the quadrupole tensor qij=d(3rr 26ij)p(f) _ d) what is the leading behavior of the function p(f) for |7 a?