A lossless transmission line is terminated in an open circuit. The sending end is ener- gized by a generator which has an open-circuit output voltage of V, (rms) and an inter- val impedance equal to the characteristic impedance of the line. Show that the sending- end voltage is equal to the output voltage of the generator.
A lossless transmission line is terminated in an open circuit. The sending end is ener- gized by a generator which has an open-circuit output voltage of V, (rms) and an inter- val impedance equal to the characteristic impedance of the line. Show that the sending- end voltage is equal to the output voltage of the generator.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
Transcribed Image Text:3-8. A lossless transmission line is terminated in an open circuit. The sending end is ener-
gized by a generator which has an open-circuit output voltage of V, (rms) and an inter-
val impedance equal to the characteristic impedance of the line. Show that the sending-
end voltage is equal to the output voltage of the generator.
3-9. A lossless transmission line has a characteristic impedance of 300N and is operated at
a frequency of 10 GHz. The observed standing-wave ratio on the line is 5.0. It is pro-
posed to use a short-circuited stub to match a pure resistor load to the line.
a. Determine the distance in centimeters from the load to the place where the stub
should be located. (Two possible solutions.)
b. Find the length of the stub in centimeters. (Two possible solutions.)
3-10. A lossless line has a characteristic impedance of 50 N and is loaded by 60 - j60 N.
One stub is at the load, and the other is 3A/8 distance away from the first.
a. Determine the lengths in wavelength of the two short-circuited stubs when a match
is achieved.
b. Locate and crosshatch the forbidden region of the normalized admittance for possi-
ble match.
3-11. A lossless transmission line has a characteristic impedance of 300 N and is terminated
by an impedance Z.. The observed standing-wave ratio on the line is 6, and the dis-
tance of the first voltage minimum from the load is 0.166A.
a. Determine the load Z.
b. Find the lengths in A of two shorted stubs, one at the load and one at A/4 from the
load, which are required to match the load to the line.
3-12. A single-stub tuner is to match a lossless line of 400 N to a load of 800 - j300 N.
The frequency is 3 GHz.
a. Find the distance in meters from the load to the tuning stub.
b. Determine the length in meters of the short-circuited stub.
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