The parallel-plate transmission line shown in Figure 9.7 has dimensions b = 4 cm and d = 8 mm, while the medium between the plates is characterized by μ_r= 1, ˆˆ_r= 20, and σ = 0. Neglect fields outside the dielectric. Given the field H = 5 cos(10⁹t ˆ’ βz)a_yA/m, use Maxwell€™s equations to help find

(a) β, if β > 0;

(b) The displacement current density at z = 0;

(c) The total displacement current crossing the surface x = 0.5d, 0 < y < b, 0 < z < 0.1 m in the a_x direction.

d y