2.
Use Legendre polynomials to approximate the electric potential due to some interesting planar combination of 4 charges as seen from a relatively long distance still inside the plane of the charges.
3.
Using Legendre polynomials as in class demonstrate the physically reasonable fact that: In the limit that your distance from a planar charge combination is much larger than the atomic separation within it the potential energy due to the potential is approximately q/R where R is your distance from one of the charges and q is the net charge in the arrangement.