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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a pole in the context of H(s)?
π‘ Hint: Think about where the function H(s) might become undefined.
Question 2
Easy
Define zeros in H(s).
π‘ Hint: Focus on the numerator of the function!
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 H(s)?
- All poles in the Right Half-Plane
- All poles in the Left Half-Plane
- Poles on the Imaginary Axis
π‘ Hint: Think about where poles should not be for stability.
Question 2
True or False: Zeros affect the stability of a system.
- True
- False
π‘ Hint: Focus on roles of poles vs. zeros.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a transfer function H(s) = (s + 4)(s + 1)/(s^2 + 5s + 6), calculate the poles and zeros and analyze the stability.
π‘ Hint: Use factoring for zeros and the quadratic formula for poles.
Question 2
Sketch the pole-zero plot for H(s) = (s + 2) / (s^2 + 3s + 2) and determine its stability.
π‘ Hint: Plot the points on the complex plane and reference stability conditions.
Challenge and get performance evaluation