Question

Consider an infinite plane dielectric slab of thickness d sandwiched between two infinite plane sheets of equal and opposite uniform charge densities ρs and –ρs in the z = 0 and z = d planes, respectively. Answer the following:

(a) In the absence of the dielectric, find the electric field between the sheets of charge.

(b) Assuming a uniform polarization P in the dielectric, show that there is no polarization volume charge, and that the polarization surface charge is given by the magnitude of the polarization |P| = P.

(c) Find the induced field between z = 0 and z = d due to the induced polarization surface charge only.

(d) Find the total electric field in the dielectric in terms of ρs and P.

(e) Assuming a susceptibility χe for the isotropic, homogeneous and linear dielectric, find P in terms of ρs and χe.

(f) Find the polarization surface charge density at z = 0 and z = d.

(g) Find again the total electric field in the dielectric in terms of ρs and χe.   

Answer 1