Zs Zin x = -1 Transmission Line Zo 1 Co x = 0 A 1.05-GHz generator circuit with series impedance Z§ =10 № and voltage source Vs is connected to a load Z₁-(100+j50) 2 through a 50-, 67-cm-long lossless transmission line as shown above. The phase velocity of the line is 0.7c, where c is the velocity of light in a vacuum. a) Find the wavelength. (b) Find the reflection coefficient at the load (x=0). c) Find Zin. ZL

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...
icon
Related questions
Question
### Transmission Line Problem

#### Circuit Description:

- **Generator**: 1.05-GHz generator circuit.
- **Series Impedance (\(Z_s\))**: 10 Ω.
- **Voltage Source (\(V_s\))**: Connected to the load through the transmission line.
- **Load Impedance (\(Z_L\))**: \( (100 + j50) \) Ω.
- **Transmission Line**: 50-Ω, 67-cm-long, lossless.
- **Phase Velocity**: 0.7c, where c is the speed of light in a vacuum.

#### Diagram Explanation:
- The diagram shows the voltage source \( V_s \) connected to a transmission line.
- The series impedance \( Z_s \) is in line with the transmission path.
- Input impedance \( Z_{\text{in}} \) is indicated at the point \( x = -l \).
- The characteristic impedance of the transmission line is \( Z_0 \).
- Load impedance \( Z_L \) is located at \( x = 0 \).

#### Tasks:

(a) **Find the Wavelength.**

(b) **Find the Reflection Coefficient at the Load (\(x = 0\)).**

(c) **Find \(Z_{\text{in}}\).**

(d) **Find the Reflection Coefficient at \(x = -l\).**

These tasks involve analyzing the transmission line and its components to solve problems related to wave propagation, reflection, and impedance matching.
Transcribed Image Text:### Transmission Line Problem #### Circuit Description: - **Generator**: 1.05-GHz generator circuit. - **Series Impedance (\(Z_s\))**: 10 Ω. - **Voltage Source (\(V_s\))**: Connected to the load through the transmission line. - **Load Impedance (\(Z_L\))**: \( (100 + j50) \) Ω. - **Transmission Line**: 50-Ω, 67-cm-long, lossless. - **Phase Velocity**: 0.7c, where c is the speed of light in a vacuum. #### Diagram Explanation: - The diagram shows the voltage source \( V_s \) connected to a transmission line. - The series impedance \( Z_s \) is in line with the transmission path. - Input impedance \( Z_{\text{in}} \) is indicated at the point \( x = -l \). - The characteristic impedance of the transmission line is \( Z_0 \). - Load impedance \( Z_L \) is located at \( x = 0 \). #### Tasks: (a) **Find the Wavelength.** (b) **Find the Reflection Coefficient at the Load (\(x = 0\)).** (c) **Find \(Z_{\text{in}}\).** (d) **Find the Reflection Coefficient at \(x = -l\).** These tasks involve analyzing the transmission line and its components to solve problems related to wave propagation, reflection, and impedance matching.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Compensation Techniques in Transmission Line
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,