O (2x+1)^ n=1,2,3,.. ㅇ(夢) n 1, 2, 3, 4... Onλ; n 1, 2, 3, 4... 00 Given a load of 150 Ohms and a source of 50 Ohms that are to be matched using only ONE transmission line what is the length in wavelengths of that transmission line? None of these 5A O √2)
O (2x+1)^ n=1,2,3,.. ㅇ(夢) n 1, 2, 3, 4... Onλ; n 1, 2, 3, 4... 00 Given a load of 150 Ohms and a source of 50 Ohms that are to be matched using only ONE transmission line what is the length in wavelengths of that transmission line? None of these 5A O √2)
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
Chapter13: Transmission Lines: Transient Operation
Section: Chapter Questions
Problem 13.14P
Related questions
Question
![**Transmission Line Matching Problem**
**Problem Statement:**
Given a load of 150 Ohms and a source of 50 Ohms that are to be matched using only ONE transmission line, what is the length in wavelengths of that transmission line?
**Options:**
1. \( \frac{(2n+1)\lambda}{4} \); \( n = 1, 2, 3, \ldots \)
2. \( \frac{n\lambda}{2} \); \( n = 1, 2, 3, 4, \ldots \)
3. \( n\lambda \); \( n = 1, 2, 3, 4, \ldots \)
4. 0
5. None of these
6. \( \frac{5\lambda}{8} \)
7. \( \sqrt{2}\lambda \)
Select the correct option based on the provided information.
**Explanation:**
The question is about matching the impedance using a transmission line of a specific length in terms of the wavelength (λ). The correct answer involves determining the specific fractional length of the wavelength that would match the given load to the source impedance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F136a9916-8a5d-490b-a1c4-57e644d5608a%2Ffb3e74a9-9bf8-486c-a5d8-caf9be4f65f6%2Feumc98_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transmission Line Matching Problem**
**Problem Statement:**
Given a load of 150 Ohms and a source of 50 Ohms that are to be matched using only ONE transmission line, what is the length in wavelengths of that transmission line?
**Options:**
1. \( \frac{(2n+1)\lambda}{4} \); \( n = 1, 2, 3, \ldots \)
2. \( \frac{n\lambda}{2} \); \( n = 1, 2, 3, 4, \ldots \)
3. \( n\lambda \); \( n = 1, 2, 3, 4, \ldots \)
4. 0
5. None of these
6. \( \frac{5\lambda}{8} \)
7. \( \sqrt{2}\lambda \)
Select the correct option based on the provided information.
**Explanation:**
The question is about matching the impedance using a transmission line of a specific length in terms of the wavelength (λ). The correct answer involves determining the specific fractional length of the wavelength that would match the given load to the source impedance.
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