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
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**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.
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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