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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what a zero of H(s) is.
π‘ Hint: Think about what happens to the output of the system when H(s) becomes zero.
Question 2
Easy
What is illustrated by a pole-zero plot?
π‘ Hint: Consider how this visualization relates to system frequency response.
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 is the role of zeros in the transfer function?
- They determine stability
- They influence output frequencies
- They are irrelevant
π‘ Hint: Reflect on the interaction between H(s) and output frequencies.
Question 2
True or False: Zeros impact the stability of a system.
- True
- False
π‘ Hint: Consider what stability means in the context of poles vs zeros.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a transfer function H(s) = (s^2 + 5s + 6)/(s^3 + 3s^2 + 3s + 1), analyze the poles and zeros to discuss the stability and frequency response characteristics of the system.
π‘ Hint: Use polynomial long division to find the roots of the numerator and denominator.
Question 2
Explain how adjusting the position of zeros on the real axis of H(s) influences the systemβs ability to filter certain frequencies while maintaining desired stability through its poles.
π‘ Hint: Visualize the frequency response curve shifts based on zero movements.
Challenge and get performance evaluation