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 .
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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 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0288dc1-f0ba-4267-95f8-f51b02b9a309%2Fa7c793d5-66d2-4ae5-800d-f261e7c5148f%2Fq9f2wly_processed.png&w=3840&q=75)
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.
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