Problem2 A source with a voltage of Vs = 5270° and an impedance of Z, = 50-j20 2 is connected to a load of Z₁ = 30 +j10 2 through a two-section transmission line with Zo1 = 50 2 and Zo2 100, as shown below; = l₂-1/8 TL2 B2, Z02 l₁=2/2 TL₁ B₁, Zo N Z₁ Zinz F₁, Zin r (a) For the first transmission line, TLI, find the reflection coefficient at the load, I, and the input impedance to TL1, Zint. (b) For the second transmission line, TL2, find the reflection coefficient at the interface between the two lines, I'₁, and the input impedance to TL2, Zin2. (c) Using the result from (b), determine the input voltage to the line at the source, Vin.

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
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.29MCQ
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Problem2
A source with a voltage of Vs = 5270° and an impedance of Z, = 50-j20 2 is connected to
a load of Z₁ = 30 +j10 through a two-section transmission line with Zo1 = 50 and
Zo2 = 100 , as shown below;
Vs
Zs
+
Vin
l₂=2/8
TL₂
B2, Z02
l₁=2/2
TL₁
B1, Zo1
N
ZL
Zin2
T₁, Zinl
r
(a) For the first transmission line, TL₁, find the reflection coefficient at the load, I, and the
input impedance to TL1, Zint.
(b) For the second transmission line, TL2, find the reflection coefficient at the interface
between the two lines, I₁, and the input impedance to TL2, Zin2.
(c) Using the result from (b), determine the input voltage to the line at the source, Vin.
Transcribed Image Text:Problem2 A source with a voltage of Vs = 5270° and an impedance of Z, = 50-j20 2 is connected to a load of Z₁ = 30 +j10 through a two-section transmission line with Zo1 = 50 and Zo2 = 100 , as shown below; Vs Zs + Vin l₂=2/8 TL₂ B2, Z02 l₁=2/2 TL₁ B1, Zo1 N ZL Zin2 T₁, Zinl r (a) For the first transmission line, TL₁, find the reflection coefficient at the load, I, and the input impedance to TL1, Zint. (b) For the second transmission line, TL2, find the reflection coefficient at the interface between the two lines, I₁, and the input impedance to TL2, Zin2. (c) Using the result from (b), determine the input voltage to the line at the source, Vin.
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