a) Show that the propagation constant (y), and the intrinsic impedance (7) of a uniform plane wave propagating in a lossy medium are related by yn = jwu . b) The phasor fields of a uniform plane wave...

Extracted text: a) Show that the propagation constant (y), and the intrinsic impedance (7) of a uniform plane wave propagating in a lossy medium are related by yn = jwu . b) The phasor fields of a uniform plane wave of angular frequency w = 1.6 x 10' (rad/sec) in a nonmagnetic (i.e. µ = 4o), lossy medium are given by E(2) = 100 eaz-ißz â, %3D (Volts/m) az -jßz H(z) = 0.5 e-/8 e â, (Amps/m) e Determine: i. the intrinsic impedance, ii. the numerical values of a and B, ii. the phase velocity and the depth of penetration, iv. the time-domain fields, E(z,t), H(z,t), the time-average Poynting's vector associated with this wave, vi. the distance at which the power carried by this wave decays to 1% of its value at z = 0. V.