Suppose you have enough linear dielectric material, of

Chapter 4, Problem 19P

(choose chapter or problem)

Problem 19P

Suppose you have enough linear dielectric material, of dielectric constant ?r, to half-fill a parallel-plate capacitor (Fig. 4.25). By what fraction is the capacitance increased when you distribute the material as in Fig. 4.25(a)? How about Fig. 4.25(b)? For a given potential difference V between the plates, find E, D, and P, in each region, and the free and bound charge on all surfaces, for both cases.