13] A transmission line circuit consists of an air transmission line of length 175.752 and characteristic impedance Z,- 100 2 which is terminated in a load impedance Z, - 50 2 and driven by a voltage source with phasor voltage v, - 50' v and internal impedance R, - 502, as shown below:

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 5.33P: Consider a long radial line terminated in its characteristic impedance Zc. Determine the following:...
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[3] A transmission line circuit consists of an air transmission line of length 175.75A and characteristic impedance
Z, = 100 2 which is terminated in a load impedance Z, = 50 2 and driven by a voltage source with phasor voltage
v, = 5 0° v and internal impedance R, = 502, as shown below:
1) Find the input impedance Z, of the transmission line.
11) Obtain the phasor voltage and current equations describing the variation with position on the line of the
phasor voltage V(2) and phasor current I(2).
111) Find the time-average powers incident at, reflected by and absorbed by the load.
1v) Modify the circuit using a quarter-wave transformer which would produce impedance matching at the
load plane so that the reflection at the load plane is killed.
Transcribed Image Text:[3] A transmission line circuit consists of an air transmission line of length 175.75A and characteristic impedance Z, = 100 2 which is terminated in a load impedance Z, = 50 2 and driven by a voltage source with phasor voltage v, = 5 0° v and internal impedance R, = 502, as shown below: 1) Find the input impedance Z, of the transmission line. 11) Obtain the phasor voltage and current equations describing the variation with position on the line of the phasor voltage V(2) and phasor current I(2). 111) Find the time-average powers incident at, reflected by and absorbed by the load. 1v) Modify the circuit using a quarter-wave transformer which would produce impedance matching at the load plane so that the reflection at the load plane is killed.
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