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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 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...
Answer: b
Explanation: Transportation lag can be conveniently handled on Bode plot as well without the need to make any approximation.
Explanation: 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 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 and reason both deal with the concept of transportation lag and its effect on the relative stability of a system. Let's analyze each statement individually and then determine their relationship.
Assertion (A): Relative stability of the system reduces due to the presence of transportation lag.
Transportation lag refers to the delay or lag in the response of a system due to the time it takes for the information or signals to be transmitted through the system. In control systems, transportation lag can occur in various components such as communication channels, sensors, actuators, etc.
When a system has transportation lag, it introduces additional phase shift and time delay in the system's response. This can lead to instability or reduced stability of the system. The presence of transportation lag can cause the system to exhibit oscillations, overshoot, or even become unstable if not properly compensated for. Therefore, Assertion (A) is true.
Reason (R): Transportation lag can be conveniently handled by Bode plot.
The Bode plot is a graphical representation of the frequency response of a system. It consists of two plots: the magnitude plot and the phase plot. The Bode plot provides valuable information about the gain margin, phase margin, bandwidth, and stability of a system.
While the Bode plot can provide insights into the frequency response characteristics of a system, it does not directly address the issue of transportation lag. The Bode plot alone cannot conveniently handle transportation lag. To mitigate the effects of transportation lag, additional control techniques such as lead-lag compensators or predictive control algorithms are often employed. Therefore, Reason (R) is not a correct explanation of Assertion (A).
In conclusion, both Assertion (A) and Reason (R) are true, but Reason (R) is not a correct explanation of Assertion (A). Hence, the correct answer is option B.
Reason (R): Transportation lag can be conveniently handled by Bode plot.
The given assertion and reason both deal with the concept of transportation lag and its effect on the relative stability of a system. Let's analyze each statement individually and then determine their relationship.
Assertion (A): Relative stability of the system reduces due to the presence of transportation lag.
Transportation lag refers to the delay or lag in the response of a system due to the time it takes for the information or signals to be transmitted through the system. In control systems, transportation lag can occur in various components such as communication channels, sensors, actuators, etc.
When a system has transportation lag, it introduces additional phase shift and time delay in the system's response. This can lead to instability or reduced stability of the system. The presence of transportation lag can cause the system to exhibit oscillations, overshoot, or even become unstable if not properly compensated for. Therefore, Assertion (A) is true.
Reason (R): Transportation lag can be conveniently handled by Bode plot.
The Bode plot is a graphical representation of the frequency response of a system. It consists of two plots: the magnitude plot and the phase plot. The Bode plot provides valuable information about the gain margin, phase margin, bandwidth, and stability of a system.
While the Bode plot can provide insights into the frequency response characteristics of a system, it does not directly address the issue of transportation lag. The Bode plot alone cannot conveniently handle transportation lag. To mitigate the effects of transportation lag, additional control techniques such as lead-lag compensators or predictive control algorithms are often employed. Therefore, Reason (R) is not a correct explanation of Assertion (A).
In conclusion, both Assertion (A) and Reason (R) are true, but Reason (R) is not a correct explanation of Assertion (A). Hence, the correct answer is option B.
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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 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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