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Assertion (A) : Gain margin alone is adequate to indicate relative stability when system parameters other than the loop gain are subject to variation.
Reason (R) : Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.
Reason (R) : Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.
- 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 'D'. Can you explain this answer?
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Assertion (A) : Gain margin alone is adequate to indicate relative sta...
Gain margin alone is inadequate to indicate relative stability when system parameters other than the loop gain are subject to variation. Due to variation in some parameters, phase shift of the system can vary which may results instability. Hence, we must also consider the concept of phase margin for determining the relative stability of the system.
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Assertion (A) : Gain margin alone is adequate to indicate relative sta...
Assertion (A): Gain margin alone is adequate to indicate relative stability when system parameters other than the loop gain are subject to variation.
Reason (R): Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.
Explanation:
The gain margin is a measure of the system's stability and is defined as the amount of gain that can be added to the loop before the system becomes unstable. It is usually expressed in decibels (dB). A positive gain margin indicates that the system is stable, while a negative gain margin indicates instability.
Assertion (A) is false:
The gain margin alone is not adequate to indicate relative stability when system parameters other than the loop gain are subject to variation. The gain margin only considers the loop gain and does not take into account other factors that can affect the system's stability, such as phase margin, time delays, nonlinearities, and disturbances. These factors can significantly impact the system's overall stability and performance.
Reason (R) is true:
The gain margin is indeed the amount of gain that can be added to the loop before the closed-loop system becomes unstable. It is a useful measure to assess the stability of a system. However, it should be noted that the gain margin alone is not sufficient to determine the overall stability of the system, especially when there are variations in system parameters other than the loop gain.
Conclusion:
In conclusion, while the gain margin provides insight into the system's stability based on the loop gain, it is not enough to determine the overall stability when other system parameters are subject to variation. Therefore, Assertion (A) is false, and Reason (R) is true, but it does not provide a correct explanation of Assertion (A).
Therefore, the correct answer is option D.
Reason (R): Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.
Explanation:
The gain margin is a measure of the system's stability and is defined as the amount of gain that can be added to the loop before the system becomes unstable. It is usually expressed in decibels (dB). A positive gain margin indicates that the system is stable, while a negative gain margin indicates instability.
Assertion (A) is false:
The gain margin alone is not adequate to indicate relative stability when system parameters other than the loop gain are subject to variation. The gain margin only considers the loop gain and does not take into account other factors that can affect the system's stability, such as phase margin, time delays, nonlinearities, and disturbances. These factors can significantly impact the system's overall stability and performance.
Reason (R) is true:
The gain margin is indeed the amount of gain that can be added to the loop before the closed-loop system becomes unstable. It is a useful measure to assess the stability of a system. However, it should be noted that the gain margin alone is not sufficient to determine the overall stability of the system, especially when there are variations in system parameters other than the loop gain.
Conclusion:
In conclusion, while the gain margin provides insight into the system's stability based on the loop gain, it is not enough to determine the overall stability when other system parameters are subject to variation. Therefore, Assertion (A) is false, and Reason (R) is true, but it does not provide a correct explanation of Assertion (A).
Therefore, the correct answer is option D.
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Assertion (A) : Gain margin alone is adequate to indicate relative stability when system parameters other than the loop gain are subject to variation.Reason (R) : Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.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 'D'. Can you explain this answer?
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Assertion (A) : Gain margin alone is adequate to indicate relative stability when system parameters other than the loop gain are subject to variation.Reason (R) : Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.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 'D'. 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 Assertion (A) : Gain margin alone is adequate to indicate relative stability when system parameters other than the loop gain are subject to variation.Reason (R) : Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.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 'D'. 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 Assertion (A) : Gain margin alone is adequate to indicate relative stability when system parameters other than the loop gain are subject to variation.Reason (R) : Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.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 'D'. Can you explain this answer?.
Assertion (A) : Gain margin alone is adequate to indicate relative stability when system parameters other than the loop gain are subject to variation.Reason (R) : Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.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 'D'. 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 Assertion (A) : Gain margin alone is adequate to indicate relative stability when system parameters other than the loop gain are subject to variation.Reason (R) : Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.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 'D'. 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 Assertion (A) : Gain margin alone is adequate to indicate relative stability when system parameters other than the loop gain are subject to variation.Reason (R) : Gain margin is the amount of gain in dB that can be added to the loop before the closed-loop system becomes unstable.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 'D'. Can you explain this answer?.
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