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Assertion (A): Relative stability of the system reduces due to the presence of transportation lag.
Reason (R): Transportation lag can be conveniently handled by Bode plot.
Reason (R): Transportation lag can be conveniently handled by Bode plot.
- a)Both A and R are true but R is correct explanation of A
- b)Both A and R are true but R is not 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?
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Assertion (A): Relative stability of the system reduces due to the pre...
Assertion (A): Relative stability of the system reduces due to the presence of transportation lag.
Reason (R): Transportation lag can be conveniently handled by Bode plot.
The given assertion states that the relative stability of the system reduces due to the presence of transportation lag, and the reason provided is that transportation lag can be conveniently handled by the Bode plot.
A. Both A and R are true but R is correct explanation of A
B. Both A and R are true but R is not correct explanation of A
C. A is true but R is false
D. A is false but R is true
According to the Bode plot, the frequency response of a system can be represented by a magnitude plot and a phase plot. The magnitude plot shows the gain of the system at different frequencies, while the phase plot shows the phase shift of the system at different frequencies.
Transportation lag:
Transportation lag is a time delay that occurs in a system when there is a delay in the response of the output due to the time taken for the input to be transmitted from one point to another. This lag can be caused by various factors such as the physical distance between components, signal propagation delays, or processing delays.
Effect of transportation lag on system stability:
When a system has transportation lag, it introduces phase lag in the frequency response. This phase lag can lead to instability in the system. The presence of transportation lag reduces the relative stability of the system.
Handling transportation lag using Bode plot:
The Bode plot provides a graphical representation of the frequency response of a system. It can be used to analyze and design control systems. However, the Bode plot itself does not handle transportation lag directly.
While the Bode plot can provide valuable information about the frequency response of a system, it does not specifically address the issue of transportation lag. To handle transportation lag, additional techniques such as lead-lag compensation or Smith predictor may be employed.
Conclusion:
Based on the above discussion, Assertion A is true as the presence of transportation lag does reduce the relative stability of the system. Reason R is also true as the Bode plot can be used to analyze the frequency response of a system. However, Reason R is not a correct explanation of Assertion A, as the Bode plot itself does not handle transportation lag directly. Therefore, the correct answer is option B: Both A and R are true, but R is not a correct explanation of A.
Reason (R): Transportation lag can be conveniently handled by Bode plot.
The given assertion states that the relative stability of the system reduces due to the presence of transportation lag, and the reason provided is that transportation lag can be conveniently handled by the Bode plot.
A. Both A and R are true but R is correct explanation of A
B. Both A and R are true but R is not correct explanation of A
C. A is true but R is false
D. A is false but R is true
According to the Bode plot, the frequency response of a system can be represented by a magnitude plot and a phase plot. The magnitude plot shows the gain of the system at different frequencies, while the phase plot shows the phase shift of the system at different frequencies.
Transportation lag:
Transportation lag is a time delay that occurs in a system when there is a delay in the response of the output due to the time taken for the input to be transmitted from one point to another. This lag can be caused by various factors such as the physical distance between components, signal propagation delays, or processing delays.
Effect of transportation lag on system stability:
When a system has transportation lag, it introduces phase lag in the frequency response. This phase lag can lead to instability in the system. The presence of transportation lag reduces the relative stability of the system.
Handling transportation lag using Bode plot:
The Bode plot provides a graphical representation of the frequency response of a system. It can be used to analyze and design control systems. However, the Bode plot itself does not handle transportation lag directly.
While the Bode plot can provide valuable information about the frequency response of a system, it does not specifically address the issue of transportation lag. To handle transportation lag, additional techniques such as lead-lag compensation or Smith predictor may be employed.
Conclusion:
Based on the above discussion, Assertion A is true as the presence of transportation lag does reduce the relative stability of the system. Reason R is also true as the Bode plot can be used to analyze the frequency response of a system. However, Reason R is not a correct explanation of Assertion A, as the Bode plot itself does not handle transportation lag directly. Therefore, the correct answer is option B: Both A and R are true, but R is not a correct explanation of A.
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Assertion (A): Relative stability of the system reduces due to the pre...
Transportation lag can be conveniently handled on Bode plot as well without the need to make any approximation.
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Assertion (A): Relative stability of the system reduces due to the presence of transportation lag.Reason (R): Transportation lag can be conveniently handled by Bode plot.a)Both A and R are true but R is correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'B'. Can you explain this answer?
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