Assume the pair of transmission lines, 1 and 2, are repeated 10 times. (a.) If the individual line sections have their electri- cal lengths have ß1 L1 = 01 = 02 = B2 L2 = 1/2, 02 = B2 L2 = /2, %3D %3D Calculate the in input impedance at the input at z = Z20. (b.) Calculate the reflection coefficient I at the input.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.13P
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Input
L20
L2
50
100
50
100
50
...
Z20
Z19
Z18
The figure above shows 40 linked transmission lines with characteristic impedances of Zei = 100 2 and
Ze2 = 50 2. Assume the input to line 40 is a 50 ohm line.
Assume the pair of transmission lines, 1 and 2,
are repeated 10 times.
(a.) If the individual line sections have their electri-
cal lengths have ß1 L1 = 01 = 02 = B2 L2 = 1/2,
Calculate the in input impedance at the input at
z = Z20.
(b.) Calculate the reflection coefficient r at the
input.
Transcribed Image Text:Input L20 L2 50 100 50 100 50 ... Z20 Z19 Z18 The figure above shows 40 linked transmission lines with characteristic impedances of Zei = 100 2 and Ze2 = 50 2. Assume the input to line 40 is a 50 ohm line. Assume the pair of transmission lines, 1 and 2, are repeated 10 times. (a.) If the individual line sections have their electri- cal lengths have ß1 L1 = 01 = 02 = B2 L2 = 1/2, Calculate the in input impedance at the input at z = Z20. (b.) Calculate the reflection coefficient r at the input.
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