The two conducting planes illustrated in Figure 6.14 are defined by 0.001<ρ<0.120 m,...

The two conducting planes illustrated in Figure 6.14 are defined by 0.001<ρ<0.120 m, 0<z<0.1 m, ϕ = 0.179 and 0.188 rad. The medium surrounding the planes is air. For Region 1, 0.179<ϕ<0.188; neglect fringing and find (a) V(ϕ); (b) E(ρ); (c) D(ρ); (d) ρs on the upper surface of the lower plane; (e) Q on the upper surface of the lower plane. (f) Repeat parts (a) through (c) for Region 2 by letting the location of the upper plane be ϕ = .188 - 2π, and then find ρs and Q on the lower surface of the lower plane. (g) Find the total charge on the lower plane and the capacitance between the planes.