Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > The input impedance of short-circuited line o...
Start Learning for Free
The input impedance of short-circuited line of length l where λ/4 < l < λ/2, is
- a)resistive
- b)inductive
- c)capacitive
- d)none of the above
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The input impedance of short-circuited line of length l where λ/4 <...
l < λ/4, ZL = 0
, if Zd comes +j kZC then inductive, If Zd comes -j kZC then capacitive.
for 0 ≤ l ≤ 1/4, λ ≤ l ≤ 3λ/4 will be inductive.
Most Upvoted Answer
The input impedance of short-circuited line of length l where λ/4 <...
The input impedance of a short-circuited line of length l where λ/4 < l="" />< λ/2="" is="" purely="" imaginary="" and="" is="" given="" />
Zin = jZ0*tan(βl)
where Z0 is the characteristic impedance of the line, β is the propagation constant, and l is the length of the line.
Since the line is short-circuited, the voltage at the input end of the line is zero. Therefore, the input impedance is determined by the current flowing through the line.
If the line length is λ/4, then βl = π/2, and the input impedance becomes:
Zin = jZ0*tan(π/2) = infinity
This means that the line appears as an open circuit at the input end.
If the line length is between λ/4 and λ/2, then βl is between π/2 and π, and the input impedance is purely imaginary and varies with frequency.
For example, if l = λ/3, then βl = 2π/3, and the input impedance becomes:
Zin = jZ0*tan(2π/3) = j√3*Z0
This means that the line appears as a capacitive reactance at the input end.
Overall, the input impedance of a short-circuited line of length l where λ/4 < l="" />< λ/2="" is="" a="" function="" of="" the="" line="" length="" and="" the="" characteristic="" impedance="" of="" the="" line,="" and="" it="" varies="" with="" frequency.="" λ/2="" is="" a="" function="" of="" the="" line="" length="" and="" the="" characteristic="" impedance="" of="" the="" line,="" and="" it="" varies="" with="" />
Zin = jZ0*tan(βl)
where Z0 is the characteristic impedance of the line, β is the propagation constant, and l is the length of the line.
Since the line is short-circuited, the voltage at the input end of the line is zero. Therefore, the input impedance is determined by the current flowing through the line.
If the line length is λ/4, then βl = π/2, and the input impedance becomes:
Zin = jZ0*tan(π/2) = infinity
This means that the line appears as an open circuit at the input end.
If the line length is between λ/4 and λ/2, then βl is between π/2 and π, and the input impedance is purely imaginary and varies with frequency.
For example, if l = λ/3, then βl = 2π/3, and the input impedance becomes:
Zin = jZ0*tan(2π/3) = j√3*Z0
This means that the line appears as a capacitive reactance at the input end.
Overall, the input impedance of a short-circuited line of length l where λ/4 < l="" />< λ/2="" is="" a="" function="" of="" the="" line="" length="" and="" the="" characteristic="" impedance="" of="" the="" line,="" and="" it="" varies="" with="" frequency.="" λ/2="" is="" a="" function="" of="" the="" line="" length="" and="" the="" characteristic="" impedance="" of="" the="" line,="" and="" it="" varies="" with="" />
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer?
Question Description
The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer?.
The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The input impedance of short-circuited line of length l where λ/4 < l < λ/2, isa)resistiveb)inductivec)capacitived)none of the aboveCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup