Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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 = ja .

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 = ja .

icon
Related questions
Question
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 = Ho), lossy medium are given by Ē(2) =100 e-az,-ißz â, (Volts/m) H(2) = 0.5 e-7/8 e -az -jßz e â, (Amps/m) Determine: i. the intrinsic impedance, ii. the numerical values of a and ß, iii. the phase velocity and the depth of penetration, iv. the time-domain fields, E(z,t), Ħ(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: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 = Ho), lossy medium are given by Ē(2) =100 e-az,-ißz â, (Volts/m) H(2) = 0.5 e-7/8 e -az -jßz e â, (Amps/m) Determine: i. the intrinsic impedance, ii. the numerical values of a and ß, iii. the phase velocity and the depth of penetration, iv. the time-domain fields, E(z,t), Ħ(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.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer