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Assertion (A): Feedback in control system improves the time response of the system.
Reason (R): Time constant of an open loop system is less than the time constant of a closed loop system.
Reason (R): Time constant of an open loop system is less than the time constant of a closed loop system.
- 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 'C'. Can you explain this answer?
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Assertion (A): Feedback in control system improves the time response o...
Time constant of open loop system is more than that of closed loop system. Lesser is the time constant of the system, faster is its' time response.
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Assertion (A): Feedback in control system improves the time response o...
Explanation:
Feedback in control system is a mechanism to improve the performance of the system. It is a process in which the system output is fed back to the input for correction of the error.
Assertion (A): Feedback in control system improves the time response of the system.
This assertion is true. Feedback in control system improves the time response of the system by reducing the steady-state error and improving the transient response. The steady-state error is the difference between the desired output and the actual output of the system. By feeding back the error signal, the system can correct itself and reduce the steady-state error. The transient response is the response of the system to a sudden change in the input. By feeding back the output signal, the system can correct itself and improve the transient response.
Reason (R): Time constant of an open loop system is less than the time constant of a closed loop system.
This reason is false. The time constant of an open loop system is not always less than the time constant of a closed loop system. The time constant is a measure of the response time of the system. It is defined as the time required for the system to reach 63.2% of its final value after a step input. The time constant depends on the system parameters such as the gain, the time delay, and the time constant of the components. In some cases, the time constant of an open loop system may be less than the time constant of a closed loop system, but in other cases, it may be greater.
Therefore, option (C) "A is true but R is false" is the correct answer.
Feedback in control system is a mechanism to improve the performance of the system. It is a process in which the system output is fed back to the input for correction of the error.
Assertion (A): Feedback in control system improves the time response of the system.
This assertion is true. Feedback in control system improves the time response of the system by reducing the steady-state error and improving the transient response. The steady-state error is the difference between the desired output and the actual output of the system. By feeding back the error signal, the system can correct itself and reduce the steady-state error. The transient response is the response of the system to a sudden change in the input. By feeding back the output signal, the system can correct itself and improve the transient response.
Reason (R): Time constant of an open loop system is less than the time constant of a closed loop system.
This reason is false. The time constant of an open loop system is not always less than the time constant of a closed loop system. The time constant is a measure of the response time of the system. It is defined as the time required for the system to reach 63.2% of its final value after a step input. The time constant depends on the system parameters such as the gain, the time delay, and the time constant of the components. In some cases, the time constant of an open loop system may be less than the time constant of a closed loop system, but in other cases, it may be greater.
Therefore, option (C) "A is true but R is false" is the correct answer.
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Assertion (A): Feedback in control system improves the time response of the system. Reason (R): Time constant of an open loop system is less than the time constant of a closed loop system.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 'C'. Can you explain this answer?
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Assertion (A): Feedback in control system improves the time response of the system. Reason (R): Time constant of an open loop system is less than the time constant of a closed loop system.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 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Assertion (A): Feedback in control system improves the time response of the system. Reason (R): Time constant of an open loop system is less than the time constant of a closed loop system.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 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): Feedback in control system improves the time response of the system. Reason (R): Time constant of an open loop system is less than the time constant of a closed loop system.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 'C'. Can you explain this answer?.
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