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The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z0 = 50Ω with a load impedance Z L . A quarter-wave line having a characteristic impedance Z1 = 75Ω is connected to Z L . Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an open-circuited (O.C.) stub of length 0.5 λ connected across QR.
The impedance matching is achieved when the real part of ZL is
  • a)
    112.5 Ω
  • b)
    75.0 Ω
  • c)
    50.0 Ω
  • d)
    33.3 Ω
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The impedance matching network shown in the figure is to match a loss...
Given
Lossless line characteristic impedance Z0 = 50Ω
Open circuit stub characteristic impedance ( Z1)oc = 75Ω
Short circuit stub characteristic impedance ( Z1)sc = 75Ω
Method 1 : The given arrangement of transmission line is shown below,
Input Impedance of Λ\2 long line-1,
Thus total impedance at terminal QR is,
ZQR = ZL || (Zin)Line-1= ZL || ∞= ZL
Now arrangement of Transmission Line becomes as,
Thus Input Impedance of line 2 is,
Input Impedance of Line 3 is,
Thus total impedance at terminal PS is,
ZPS = (Zin)Line-2 || (Zin)Line-3
Now Transmission Line arrangement becomes as-
Hence ZPS work as load for main Transmission line.
For matching of main Transmission line with load ( ZPS) ,
Hence, the correct option is (A)
Method 2 :
From given arrangement, it is clear that,
So, input impedance of both line-1 and line-3 are ∞ (i.e. open circuit) so it does not make any effect on main transmission line, so given transmission line configuration becomes as,
Thus Input Impedance at terminal PS is,
So ( Zin)PS work as load for main transmission line so arrangement of transmission line becomes as,
Hence ( Zin)PS work as load for main Transmission line so the condition, for matching the main Transmission line with load ( Zin)PS is
Hence, the correct option is (A)
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Most Upvoted Answer
The impedance matching network shown in the figure is to match a loss...
Given
Lossless line characteristic impedance Z0 = 50Ω
Open circuit stub characteristic impedance ( Z1)oc = 75Ω
Short circuit stub characteristic impedance ( Z1)sc = 75Ω
Method 1 : The given arrangement of transmission line is shown below,
Input Impedance of Λ\2 long line-1,
Thus total impedance at terminal QR is,
ZQR = ZL || (Zin)Line-1= ZL || ∞= ZL
Now arrangement of Transmission Line becomes as,
Thus Input Impedance of line 2 is,
Input Impedance of Line 3 is,
Thus total impedance at terminal PS is,
ZPS = (Zin)Line-2 || (Zin)Line-3
Now Transmission Line arrangement becomes as-
Hence ZPS work as load for main Transmission line.
For matching of main Transmission line with load ( ZPS) ,
Hence, the correct option is (A)
Method 2 :
From given arrangement, it is clear that,
So, input impedance of both line-1 and line-3 are ∞ (i.e. open circuit) so it does not make any effect on main transmission line, so given transmission line configuration becomes as,
Thus Input Impedance at terminal PS is,
So ( Zin)PS work as load for main transmission line so arrangement of transmission line becomes as,
Hence ( Zin)PS work as load for main Transmission line so the condition, for matching the main Transmission line with load ( Zin)PS is
Hence, the correct option is (A)
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Question Description
The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z0 = 50Ω with a load impedance Z L . A quarter-wave line having a characteristic impedance Z1 = 75Ω is connected to Z L . Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an open-circuited (O.C.) stub of length 0.5 λ connected across QR.The impedance matching is achieved when the real part of ZL isa)112.5 Ωb)75.0 Ωc)50.0 Ωd)33.3 ΩCorrect answer is option 'A'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z0 = 50Ω with a load impedance Z L . A quarter-wave line having a characteristic impedance Z1 = 75Ω is connected to Z L . Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an open-circuited (O.C.) stub of length 0.5 λ connected across QR.The impedance matching is achieved when the real part of ZL isa)112.5 Ωb)75.0 Ωc)50.0 Ωd)33.3 ΩCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z0 = 50Ω with a load impedance Z L . A quarter-wave line having a characteristic impedance Z1 = 75Ω is connected to Z L . Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an open-circuited (O.C.) stub of length 0.5 λ connected across QR.The impedance matching is achieved when the real part of ZL isa)112.5 Ωb)75.0 Ωc)50.0 Ωd)33.3 ΩCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z0 = 50Ω with a load impedance Z L . A quarter-wave line having a characteristic impedance Z1 = 75Ω is connected to Z L . Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an open-circuited (O.C.) stub of length 0.5 λ connected across QR.The impedance matching is achieved when the real part of ZL isa)112.5 Ωb)75.0 Ωc)50.0 Ωd)33.3 ΩCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE). Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z0 = 50Ω with a load impedance Z L . A quarter-wave line having a characteristic impedance Z1 = 75Ω is connected to Z L . Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an open-circuited (O.C.) stub of length 0.5 λ connected across QR.The impedance matching is achieved when the real part of ZL isa)112.5 Ωb)75.0 Ωc)50.0 Ωd)33.3 ΩCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z0 = 50Ω with a load impedance Z L . A quarter-wave line having a characteristic impedance Z1 = 75Ω is connected to Z L . Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an open-circuited (O.C.) stub of length 0.5 λ connected across QR.The impedance matching is achieved when the real part of ZL isa)112.5 Ωb)75.0 Ωc)50.0 Ωd)33.3 ΩCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z0 = 50Ω with a load impedance Z L . A quarter-wave line having a characteristic impedance Z1 = 75Ω is connected to Z L . Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an open-circuited (O.C.) stub of length 0.5 λ connected across QR.The impedance matching is achieved when the real part of ZL isa)112.5 Ωb)75.0 Ωc)50.0 Ωd)33.3 ΩCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z0 = 50Ω with a load impedance Z L . A quarter-wave line having a characteristic impedance Z1 = 75Ω is connected to Z L . Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an open-circuited (O.C.) stub of length 0.5 λ connected across QR.The impedance matching is achieved when the real part of ZL isa)112.5 Ωb)75.0 Ωc)50.0 Ωd)33.3 ΩCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The impedance matching network shown in the figure is to match a lossless line having characteristic impedance Z0 = 50Ω with a load impedance Z L . A quarter-wave line having a characteristic impedance Z1 = 75Ω is connected to Z L . Two stubs having characteristic impedance of 75 Ω each are connected to this quarter-wave line. One is a short-circuited (S.C.) stub of length 0.25 λ connected across PS and the other one is an open-circuited (O.C.) stub of length 0.5 λ connected across QR.The impedance matching is achieved when the real part of ZL isa)112.5 Ωb)75.0 Ωc)50.0 Ωd)33.3 ΩCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
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