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Suppose the voltage waveform shown in Figure Q4a was observed at the sending end of a 50 Q transmission line in response to a step voltage introduced by a generator with V, =15 V and an unknown series (а) resistance, R . If the line is 1 km in length, velocity of propagation for the signals on the line is 1x10 m/s, and it is terminated in a load, Z, =100 N: %3D (i) Determine R, (ii) Explain why the drop in level of V (0,t) at t= 6us could only have been caused by a fault on the line and cannot be due to reflection from the load. (iii) Determine the location of the fault responsible for the observed waveform and the impedance R, at this location. V(0, t) 5 V- 3 V 6 μs

Suppose the voltage waveform shown in Figure Q4a was observed at the sending end of a 50 Q transmission line in response to a step voltage introduced by a generator with V, =15 V and an unknown series (а) resistance, R . If the line is 1 km in length, velocity of propagation for the signals on the line is 1x10 m/s, and it is terminated in a load, Z, =100 N: %3D (i) Determine R, (ii) Explain why the drop in level of V (0,t) at t= 6us could only have been caused by a fault on the line and cannot be due to reflection from the load. (iii) Determine the location of the fault responsible for the observed waveform and the impedance R, at this location. V(0, t) 5 V- 3 V 6 μs

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q4 Suppose the voltage waveform shown in Figure Q4a was observed at the sending end of a 50 N transmission line in response to a step voltage introduced by a generator with V, =15 V and an unknown series (а) resistance, R. . If the line is 1 km in length, velocity of propagation for the signals on the line is 1×10* m/s, and it is terminated in a load, Z, =100 N: (i) Determine R, (ii) Explain why the drop in level of V (0,t) at t=6µs could only have been caused by a fault on the line and cannot be due to reflection from the load. (iii) Determine the location of the fault responsible for the observed waveform and the impedance R, at this location. V(0, t) 5 V- 3 V 6 µs Figure Q4a If for the setup in part a) there was no fault on the line, calculate and sketch the voltage at the sending end of the line for t = 0 to t = 25 µs. Assume that R. =100 N. (b)
Transcribed Image Text:Q4 Suppose the voltage waveform shown in Figure Q4a was observed at the sending end of a 50 N transmission line in response to a step voltage introduced by a generator with V, =15 V and an unknown series (а) resistance, R. . If the line is 1 km in length, velocity of propagation for the signals on the line is 1×10* m/s, and it is terminated in a load, Z, =100 N: (i) Determine R, (ii) Explain why the drop in level of V (0,t) at t=6µs could only have been caused by a fault on the line and cannot be due to reflection from the load. (iii) Determine the location of the fault responsible for the observed waveform and the impedance R, at this location. V(0, t) 5 V- 3 V 6 µs Figure Q4a If for the setup in part a) there was no fault on the line, calculate and sketch the voltage at the sending end of the line for t = 0 to t = 25 µs. Assume that R. =100 N. (b)
At Vs 100 %3D Given from figure at t = 0 6 = = %3D V = 12 V source voltage of TDR (1) Let the time aken by wave to travel on way i transmission line is t then we can observe from figur that 12μs - 2t1 6µs = tj V phase velocity of wave 3x10 V2.25 %3D = 2x10% %3D tj = = L = t¡V = 6x1 – -62r10* 1200 m %3D
Transcribed Image Text:At Vs 100 %3D Given from figure at t = 0 6 = = %3D V = 12 V source voltage of TDR (1) Let the time aken by wave to travel on way i transmission line is t then we can observe from figur that 12μs - 2t1 6µs = tj V phase velocity of wave 3x10 V2.25 %3D = 2x10% %3D tj = = L = t¡V = 6x1 – -62r10* 1200 m %3D
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