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 ata 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 stubshould 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 matchis 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 terminatedby 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 theload, 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.

Note: " Since you have asked multiple question, we will solve the first question for you. If you…

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

Section: Chapter Questions

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Concept explainers

Short Transmission Line

A short transmission line is a transmission line that has a length less than 80 kilometers, an operating voltage level of less than 20 kV, and zero capacitance effect.

Power Flow Analysis

Power flow analysis is a topic in power engineering. It is the flow of electric power in a system. The power flow analysis is preliminary used for the various components of Alternating Current (AC) power, such as the voltage, current, real power, reactive power, and voltage angles under given load conditions and is often known as a load flow study or load flow analysis.

Complex Form

A power system is defined as the connection or network of the various components that convert the non-electrical energy into the electric form and supply the electric form of energy from the source to the load. The power system is an important parameter in power engineering and the electrical engineering profession. The powers in the power system are primarily categorized into two types- active power and reactive power.

Question

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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