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Consider the following statements:
Nichol’s chart gives information about.
i. Closed loop frequency response.
ii. The value of the peak magnitude of the closed loop frequency response Mp.
iii. The frequency at which Mp occurs.
Which of the above statements are correct?
  • a)
    2 and 3
  • b)
    1 and 2
  • c)
    1 and 3
  • d)
    1,2 and 3
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider the following statements:Nichol’s chart gives informati...
Nichol’s chart gives information about closed loop frequency response, value of the peak magnitude of the closed loop frequency response Mp and the frequency at which Mp occurs.
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Community Answer
Consider the following statements:Nichol’s chart gives informati...
Understanding Nichol's Chart
Nichol's chart is a powerful tool used in control systems to analyze the stability and performance of a closed-loop system. It effectively combines the concepts of frequency response and gain/phase margins, making it an essential component in control engineering.
Correctness of Statements
All three statements provided regarding Nichol's chart are indeed correct. Here’s a detailed explanation:
i. Closed Loop Frequency Response
- Nichol's chart represents the closed-loop frequency response of a control system.
- It illustrates how the output of the system responds to different frequency inputs, providing insight into stability and performance.
ii. Peak Magnitude of Closed Loop Frequency Response (Mp)
- The chart allows engineers to determine the peak magnitude (Mp) of the closed-loop frequency response.
- This peak magnitude indicates the maximum amplification that the system can achieve at a particular frequency before reaching instability.
iii. Frequency at Which Mp Occurs
- Nichol's chart also helps in identifying the specific frequency at which the peak magnitude (Mp) occurs.
- This is crucial for tuning control parameters to optimize system performance and ensure stability.
Conclusion
In summary, Nichol's chart provides comprehensive information about:
- The closed-loop frequency response
- The value of the peak magnitude (Mp)
- The frequency at which Mp occurs
Thus, the correct answer is indeed option 'D', as all three statements accurately describe the capabilities of Nichol's chart in control system analysis.
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Consider the following statements:Nichol’s chart gives information about.i. Closed loop frequency response.ii. The value of the peak magnitude of the closed loop frequency response Mp.iii. The frequency at which Mp occurs.Which of the above statements are correct?a)2 and 3b)1 and 2c)1 and 3d)1,2 and 3Correct answer is option 'D'. Can you explain this answer?
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