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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 × 10° (rad/sec) in a nonmagnetic (i.e. µ = Ho), lossy medium are given by E(2) =100 e¯a²-jßz â, (Volts/m) -az -jßz H(z) = 0.5 e-m/8 e â, (Amps/m)

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 × 10° (rad/sec) in a nonmagnetic (i.e. µ = Ho), lossy medium are given by E(2) =100 e¯a²-jßz â, (Volts/m) -az -jßz H(z) = 0.5 e-m/8 e â, (Amps/m)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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2- 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 × 10° (rad/sec) in a nonmagnetic (i.e. µ = Ho), lossy medium are given by %3D E(z) = 100 e - a z aze ?-jßz %3D (Volts/m) -az-jßz e H(z) = 0.5 e-/8 e â, (Amps/m) %3D Determine: i. the intrinsic impedance, ii. the numericał values of a and B, ii. the phase velocity and the depth of penetration, iv. the time-domain fields, Ē(z,t), H(z, t), v. 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.
Transcribed Image Text:2- 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 × 10° (rad/sec) in a nonmagnetic (i.e. µ = Ho), lossy medium are given by %3D E(z) = 100 e - a z aze ?-jßz %3D (Volts/m) -az-jßz e H(z) = 0.5 e-/8 e â, (Amps/m) %3D Determine: i. the intrinsic impedance, ii. the numericał values of a and B, ii. the phase velocity and the depth of penetration, iv. the time-domain fields, Ē(z,t), H(z, t), v. 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.
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