A dielectric sphere inserted in a uniform electric field ˆxEo exhibits the same general form of solution as does the dielectric rod perpendicular to a uniform applied e...A dielectric sphere inserted in a uniform electric field ˆxEo exhibits the same general form of solution as does the dielectric rod perpendicular to a uniform applied electric field; the solution is the sum of the applied field and the dipole field produced by the induced polarization charges on the surface of the rod or sphere.