GATE Exam > GATE Questions > For a series RLC circuit, which one of the fo...
Start Learning for Free
For a series RLC circuit, which one of the following statement is NOT correct
- a)The bandwidth of the circuit decreases if R is increased.
- b)The bandwidth of the circuit remains same if L is increased.
- c)At resonance, input impedance is a real quantity.
- d)At resonance, the magnitude of input impedance attains its maximum value.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
For a series RLC circuit, which one of the following statement is NOT ...
Understanding RLC Circuit Resonance
In a series RLC circuit, resonance occurs when the inductive reactance equals the capacitive reactance, leading to specific behaviors in impedance and bandwidth. The statement that is NOT correct is option 'D'.
Resonance and Impedance
- At resonance, the input impedance of a series RLC circuit is at its minimum, not maximum.
- The impedance can be represented as Z = R + j(ωL - 1/ωC). At resonance (ωL = 1/ωC), the reactance cancels out, leaving Z = R, which is purely resistive.
Correct Impedance Behavior
- The magnitude of input impedance does not attain a maximum value; instead, it is equal to the resistance R.
- This minimum impedance allows maximum current to flow through the circuit at resonance.
Bandwidth and Resistance
- The bandwidth of the circuit is defined as the range of frequencies over which the circuit can effectively operate.
- An increase in resistance (R) leads to a decrease in bandwidth, demonstrating a direct relationship between resistance and bandwidth.
Effect of Inductance on Bandwidth
- Increasing inductance (L) does not affect the bandwidth directly, as the resonance condition is maintained, but the overall frequency response will shift.
Summary
- Incorrect Statement: At resonance, the magnitude of input impedance attains its maximum value.
- Correct Understanding: The input impedance is minimized at resonance and equal to R, facilitating maximum current flow in the circuit.
In a series RLC circuit, resonance occurs when the inductive reactance equals the capacitive reactance, leading to specific behaviors in impedance and bandwidth. The statement that is NOT correct is option 'D'.
Resonance and Impedance
- At resonance, the input impedance of a series RLC circuit is at its minimum, not maximum.
- The impedance can be represented as Z = R + j(ωL - 1/ωC). At resonance (ωL = 1/ωC), the reactance cancels out, leaving Z = R, which is purely resistive.
Correct Impedance Behavior
- The magnitude of input impedance does not attain a maximum value; instead, it is equal to the resistance R.
- This minimum impedance allows maximum current to flow through the circuit at resonance.
Bandwidth and Resistance
- The bandwidth of the circuit is defined as the range of frequencies over which the circuit can effectively operate.
- An increase in resistance (R) leads to a decrease in bandwidth, demonstrating a direct relationship between resistance and bandwidth.
Effect of Inductance on Bandwidth
- Increasing inductance (L) does not affect the bandwidth directly, as the resonance condition is maintained, but the overall frequency response will shift.
Summary
- Incorrect Statement: At resonance, the magnitude of input impedance attains its maximum value.
- Correct Understanding: The input impedance is minimized at resonance and equal to R, facilitating maximum current flow in the circuit.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer?
Question Description
For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer?.
For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer?.
Solutions for For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer?, a detailed solution for For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice For a series RLC circuit, which one of the following statement is NOT correcta)The bandwidth of the circuit decreases if R is increased.b)The bandwidth of the circuit remains same if L is increased.c)At resonance, input impedance is a real quantity.d)At resonance, the magnitude of input impedance attains its maximum value. Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
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