The permittivity of an infinite dielectric medium is given as the following function of the distance r from the center of symmetry: €(r) = €o(1 + a/r). A small conducting sphere of radius R, carrying a charge Q, is centered at r = 0. Determine and plot the electric field strength and the electric scalar potential as functions of r. Determine the volume density of polarization charges.

The permittivity of an infinite dielectric medium is given as the following function of the distance r from the center of symmetry: €(r) = €o(1 + a/r). A small conducting sphere of radius R, carrying a charge Q, is centered at r = 0. Determine and plot the electric field strength and the electric scalar potential as functions of r. Determine the volume density of polarization charges.