Problem 1 (Griffiths 2.18). Some questions about uniformly charged spheres.
(a) Considera sphere ofradius R anduniform charge density ρ. Findthe electric fieldeverywhere.
(b) Now two spheres, each of radius R and carrying uniform charge densities ρ and −ρ, are placed
so that they partially overlap. Call the vector from the positive center to the negative center
d. Find the electric field in the overlap region.