Consider the transmission line in the figure below. RG t=0 VG Zo d The length of the line is d = 3 m. The source voltage VG = 15 V, and the signal propagates on the line at a speed u, = 2 · 108 m/s. The load impedance is Z, = 200 N, the characteristic impedance is Zo = 100 N, and the resistance of the generator is RG = 50 N. a) Determine the time T necessary for the signal to travel from the sending end to the receiving end of the line b) Determine the reflection coefficients I, and Tç at the load and the source, respectively c) Using the bounce diagram, sketch the voltage and current as a function of time at a distance from the generator of 2m, up to time t = 60 ns (provide the values of voltages and currents in your graphs and show your calculations) d) What are the voltage and current on the line after a very long time from the time the switch closes (t = 0)? (Explain your answer and show your calculations)

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 4.35MCQ: The affect of the earth plane is to slightly increase the capacitance, and as the line height...
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Consider the transmission line in the figure below.
RG
t=0
VG
Zo
d
The length of the line is d = 3 m. The source voltage VG = 15 V, and the signal propagates on
the line at a speed u, = 2 · 108 m/s. The load impedance is Z, = 200 N, the characteristic
impedance is Zo
= 100 N, and the resistance of the generator is RG = 50 N.
a) Determine the time T necessary for the signal to travel from the sending end to the
receiving end of the line
b) Determine the reflection coefficients I, and Tç at the load and the source, respectively
c) Using the bounce diagram, sketch the voltage and current as a function of time at a
distance from the generator of 2m, up to time t = 60 ns (provide the values of voltages
and currents in your graphs and show your calculations)
d) What are the voltage and current on the line after a very long time from the time the
switch closes (t = 0)? (Explain your answer and show your calculations)
Transcribed Image Text:Consider the transmission line in the figure below. RG t=0 VG Zo d The length of the line is d = 3 m. The source voltage VG = 15 V, and the signal propagates on the line at a speed u, = 2 · 108 m/s. The load impedance is Z, = 200 N, the characteristic impedance is Zo = 100 N, and the resistance of the generator is RG = 50 N. a) Determine the time T necessary for the signal to travel from the sending end to the receiving end of the line b) Determine the reflection coefficients I, and Tç at the load and the source, respectively c) Using the bounce diagram, sketch the voltage and current as a function of time at a distance from the generator of 2m, up to time t = 60 ns (provide the values of voltages and currents in your graphs and show your calculations) d) What are the voltage and current on the line after a very long time from the time the switch closes (t = 0)? (Explain your answer and show your calculations)
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