3: A 50-MHz generator with Zg =50Q is connected to a load ZL= (50 -j 25). The time average power transferred from the generator into the load is max when Zg=Z₁L, where Z₁ is the complex conjugate of ZL. To achieve this condition without changing Zg, the effective load impedance can be modified by adding an open circuited line in series with ZL, as shown in the following figure. If the line's Zo=10002, determine the shortest length of line (in wavelengths) necessary for satisfying the maximum power transfer condition. Zo 100 2- 50 Ω Z₁ (50-125) 4: Repeat Problem 4 for a short circuit line in series with ZL.

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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.13MCQ
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This is a review question from an old exam:

A 50-MHz generator with Zg =50Ω is connected to a load ZL= (50 –j 25). The time average 
power transferred from the generator into the load is max when Zg=ZL, where ZL is the complex 
conjugate of ZL. To achieve this condition without changing Zg, the effective load impedance can 
be modified by adding an open circuited line in series with ZL, as shown in the following figure. 

a) If the line’s Z0=100Ω, determine the shortest length of line (in wavelengths) necessary for 
satisfying the maximum power transfer condition.

b)  Determine for the same problem  for a short circuit line in series with ZL. 

3: A 50-MHz generator with Zg =50Q is connected to a load ZL= (50 -j 25). The time average
power transferred from the generator into the load is max when Zg=Z₁L, where Z₁ is the complex
conjugate of ZL. To achieve this condition without changing Zg, the effective load impedance can
be modified by adding an open circuited line in series with ZL, as shown in the following figure.
If the line's Zo=10002, determine the shortest length of line (in wavelengths) necessary for
satisfying the maximum power transfer condition.
Zo 100 2-
50 Ω
Z₁ (50-125)
4: Repeat Problem 4 for a short circuit line in series with ZL.
Transcribed Image Text:3: A 50-MHz generator with Zg =50Q is connected to a load ZL= (50 -j 25). The time average power transferred from the generator into the load is max when Zg=Z₁L, where Z₁ is the complex conjugate of ZL. To achieve this condition without changing Zg, the effective load impedance can be modified by adding an open circuited line in series with ZL, as shown in the following figure. If the line's Zo=10002, determine the shortest length of line (in wavelengths) necessary for satisfying the maximum power transfer condition. Zo 100 2- 50 Ω Z₁ (50-125) 4: Repeat Problem 4 for a short circuit line in series with ZL.
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