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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does the Nyquist plot visualize?
π‘ Hint: Think about how the system responds across different frequencies.
Question 2
Easy
What happens if the Nyquist plot does not encircle -1?
π‘ Hint: Consider the implications of having no encirclements.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What indicates a stable system in a Nyquist plot?
- Encircles -1 once clockwise
- Does not encircle -1
- Encircles -1 once counter-clockwise
π‘ Hint: Recall the conditions for stability.
Question 2
True or False: A Nyquist plot that circles -1 counter-clockwise indicates instability.
- True
- False
π‘ Hint: Consider the relationship between circling directions and stability.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If G(s) = 5/(s^2 + 2s + 5), calculate G(jΟ). Plot the Nyquist plot and determine the system's stability.
π‘ Hint: Look carefully at how Ο affects the plot shape.
Question 2
Analyze G(s) = 3/(s^3 + 3s^2 + 3s + 1) by constructing its Nyquist plot. Explore how varying K affects stability.
π‘ Hint: Consider the relationship between K and encirclements around -1.
Challenge and get performance evaluation