The S-parameters of a 2-port network are given by 0.5+ j0.5 [0.95+j0.25 (S] = l095 0.15-j0.05] 0.5-j0.5 The system impedance is Zo 50 2. %3D (a) Is this network loss-free? Justify your answer. (b) Is this network reciprocal? Justify your answer. (c) If port 2 is matched, find the reflection coefficient I at port 1 as well as the input im Zin1 at port 1.

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The S-parameters of a 2-port network are given by
0.5+ j0.5
[0.95 + j0.25
(S] = (0,95-
0.15-j0.051
0.5-j0.5
%3D
The system impedance is Zo = 50 2.
%3D
(a) Is this network loss-free? Justify your answer.
(b) Is this network reciprocal? Justify your answer.
(c) If port 2 is matched, find the reflection coefficient I at port 1 as well as the input im
Zin1 at port 1.
(d) Assuming that the network is fed at port 1 and the load at port 2 is Zo, what is the internal
impedance of the generator at port 1 such that maximum power is delivered to the network?
(e) If port 2 is short-circuited, find the reflection coefficient T at port 1 as well as the input
impedance Zi at port 1.
Transcribed Image Text:The S-parameters of a 2-port network are given by 0.5+ j0.5 [0.95 + j0.25 (S] = (0,95- 0.15-j0.051 0.5-j0.5 %3D The system impedance is Zo = 50 2. %3D (a) Is this network loss-free? Justify your answer. (b) Is this network reciprocal? Justify your answer. (c) If port 2 is matched, find the reflection coefficient I at port 1 as well as the input im Zin1 at port 1. (d) Assuming that the network is fed at port 1 and the load at port 2 is Zo, what is the internal impedance of the generator at port 1 such that maximum power is delivered to the network? (e) If port 2 is short-circuited, find the reflection coefficient T at port 1 as well as the input impedance Zi at port 1.
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