A surface charge resides on the surface of a dielectric material placed in a region where there is nothing else, except for this sphere. The electric permittivity of the dielectric material of the sphereisɛ. The surface charge density is expressed in a spherical polarcoordinate system, centerd at the center of the sphere, and given by o(G) = f(OG(Of(9) C/M². The electric displacement vector in the dielectric material is D(r) = Dệ, + Dê, + Dê. Find the electric intensity vector and the displacement vector just outside the surface the sphere at the point whose position vector is (r+ diệ, where d is an infinitesimal positive distance.

A surface charge resides on the surface of a dielectric material placed in a region where there is nothing else, except for this sphere. The electric permittivity of the dielectric material of the sphereisɛ. The surface charge density is expressed in a spherical polarcoordinate system, centerd at the center of the sphere, and given by o(G) = f(OG(Of(9) C/M². The electric displacement vector in the dielectric material is D(r) = Dệ, + Dê, + Dê. Find the electric intensity vector and the displacement vector just outside the surface the sphere at the point whose position vector is (r+ diệ, where d is an infinitesimal positive distance.