Determine the electric field inside a spherical cavity of radius R' located inside a uniformly charged sphere of radius R carrying a volume charge density, ρ. It is given that the distance between the center of the cavity and the center of the sphere is r0.
In the space between two infinite parallel planess1 and s2 separate by a distance D, there exists a volume charge distribution described by the density, ρ(z) = ρ0 + αz, where ρ0 and α are constants and z is the distance to plane s1. Determine the electric field produced by this distribution in all space.