1. The problem statement, all variables and given/known data A solid sphere is placed in an otherwise uniform electric field. Its upper half is made up from a material with dielectric constant e_1; the other half has dielectric constant e_2. The plane at which the parts of the sphere intersect is paralell to the uniform field at infinity. The problem is to find the potential at every point in space. 2. Relevant equations 3. The attempt at a solution My only question is: is there any way for this problem to have azimuthal symmetry? I tried to put the z axis paralell to the field at infinity, but I think it's not right since I don't get the solution.