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

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