Find the required characteristic impedance, Z02, of a quarter-wave section to be inserted between the two, which will impedance-match the joint, thus allowing total power transmission through the three lines.

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
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
Problem 5.31P: A 500-kV, 300-km, 6()-Hz, three-phase overhead transmission line, assumed to be lossless, has a...
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Two lossless transmission lines having
different characteristic impedance are
to be joined end to end.
The impedances are Z01 = 100 ohms
and Z03 = 25 ohms. The operating
%3D
frequency is 1 GHz.
Find the required characteristic
impedjance, Zj2, of a jquarter-wave
section to be inserted between the two,
which will impedance-match the joint,
thus allowing total power transmission
through the three lines.
50
О 25
O 75
О 100
Transcribed Image Text:Two lossless transmission lines having different characteristic impedance are to be joined end to end. The impedances are Z01 = 100 ohms and Z03 = 25 ohms. The operating %3D frequency is 1 GHz. Find the required characteristic impedjance, Zj2, of a jquarter-wave section to be inserted between the two, which will impedance-match the joint, thus allowing total power transmission through the three lines. 50 О 25 O 75 О 100
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