Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Assertion (A): With the increase in bandwidth...
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Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.
Reason (R): Damping ratio of the system decreases with the increase in bandwidth.
Reason (R): Damping ratio of the system decreases with the increase in bandwidth.
- a)Both A and R are true and R is a correct explanation of A.
- b)Both A and R are true but R is not a correct explanation of A.
- c)A is true but R is false.
- d)A is false but R is true.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Assertion (A): With the increase in bandwidth of the system the respon...
Understanding the Assertion and Reason
The assertion (A) states that an increase in the bandwidth of a system leads to a faster response. The reason (R) claims that the damping ratio of the system decreases with increased bandwidth.
Analysis of Assertion (A)
- Bandwidth and Response Time:
- Bandwidth refers to the range of frequencies a system can respond to.
- A higher bandwidth allows the system to react more quickly to changes in input, thereby improving its speed of response.
Analysis of Reason (R)
- Damping Ratio:
- The damping ratio is a measure of how oscillations in a system decay after a disturbance.
- A system with a lower damping ratio tends to have a faster response but can also lead to increased overshoot and oscillations.
- Relationship Between Bandwidth and Damping:
- As bandwidth increases, the damping ratio may indeed decrease, leading to a faster transient response.
- This correlation supports the assertion that a higher bandwidth enhances system responsiveness.
Conclusion
- Correctness of Both Statements:
- Both assertion (A) and reason (R) are true.
- Reason (R) effectively explains why assertion (A) holds true in many systems, particularly in control systems.
Thus, the correct answer is option 'B': Both A and R are true, but R is not a correct explanation of A. The connection between bandwidth and damping ratio is valid, but A stands on its own regarding system response.
The assertion (A) states that an increase in the bandwidth of a system leads to a faster response. The reason (R) claims that the damping ratio of the system decreases with increased bandwidth.
Analysis of Assertion (A)
- Bandwidth and Response Time:
- Bandwidth refers to the range of frequencies a system can respond to.
- A higher bandwidth allows the system to react more quickly to changes in input, thereby improving its speed of response.
Analysis of Reason (R)
- Damping Ratio:
- The damping ratio is a measure of how oscillations in a system decay after a disturbance.
- A system with a lower damping ratio tends to have a faster response but can also lead to increased overshoot and oscillations.
- Relationship Between Bandwidth and Damping:
- As bandwidth increases, the damping ratio may indeed decrease, leading to a faster transient response.
- This correlation supports the assertion that a higher bandwidth enhances system responsiveness.
Conclusion
- Correctness of Both Statements:
- Both assertion (A) and reason (R) are true.
- Reason (R) effectively explains why assertion (A) holds true in many systems, particularly in control systems.
Thus, the correct answer is option 'B': Both A and R are true, but R is not a correct explanation of A. The connection between bandwidth and damping ratio is valid, but A stands on its own regarding system response.
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Assertion (A): With the increase in bandwidth of the system the respon...
When BW is increased, the system response becomes fast due to fait in rise time (tr).
With the increase in bandwidth of the system, damping ratio (ξ) decreases.
Thus, both assertion and reason are true but, reason is not the correct explanation of assertion.
With the increase in bandwidth of the system, damping ratio (ξ) decreases.
Thus, both assertion and reason are true but, reason is not the correct explanation of assertion.
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Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.Reason (R): Damping ratio of the system decreases with the increase in bandwidth.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.Reason (R): Damping ratio of the system decreases with the increase in bandwidth.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.Reason (R): Damping ratio of the system decreases with the increase in bandwidth.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?.
Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.Reason (R): Damping ratio of the system decreases with the increase in bandwidth.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.Reason (R): Damping ratio of the system decreases with the increase in bandwidth.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.Reason (R): Damping ratio of the system decreases with the increase in bandwidth.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.Reason (R): Damping ratio of the system decreases with the increase in bandwidth.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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ample number of questions to practice Assertion (A): With the increase in bandwidth of the system the response of the system becomes fast.Reason (R): Damping ratio of the system decreases with the increase in bandwidth.a)Both A and R are true and R is a correct explanation of A.b)Both A and R are true but R is not a correct explanation of A.c)A is true but R is false.d)A is false but R is true.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
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