1. Using Green functions find the electrostatic potential Phi(x) outside a ground sphere of radius
R in a uniform electric field E_0 along the z axis.
2. Calculate the Green function for a problem defined in the region
z
greater or equal than zero and y greater or equal than zero with
Dirichlet
boundary conditions on the planes z=0 and y=0.
3. Using the technique of separation of variables find
the Green function for problem 15 in Ch.2 Jackson. You have to obtain
the expression given
in part b) of the problem.