A 30-MHz uniform plane wave with H = 10 sin ( w t + x) a z

A 30-MHz uniform plane wave with

H = 10 sin (wt + βx) a_z mA/m

exists in region x > 0 having σ = 0, ε = 9ε_o, μ = 4μ_o. At x = 0, the wave encounters free space. Determine 

(a) The polarization of the wave, 

(b) The phase constant (3, 

(c) The displacement current density in region x > 0, 

(d) The reflected and transmitted magnetic fields, and

(e) The average power density in each region.