Practice - Zeros of H(s): Shaping the Frequency Response
Practice Questions
Test your understanding with targeted questions
Define what a zero of H(s) is.
💡 Hint: Think about what happens to the output of the system when H(s) becomes zero.
What is illustrated by a pole-zero plot?
💡 Hint: Consider how this visualization relates to system frequency response.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the role of zeros in the transfer function?
💡 Hint: Reflect on the interaction between H(s) and output frequencies.
True or False: Zeros impact the stability of a system.
💡 Hint: Consider what stability means in the context of poles vs zeros.
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Challenge Problems
Push your limits with advanced challenges
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.
💡 Hint: Use polynomial long division to find the roots of the numerator and denominator.
Explain how adjusting the position of zeros on the real axis of H(s) influences the system’s ability to filter certain frequencies while maintaining desired stability through its poles.
💡 Hint: Visualize the frequency response curve shifts based on zero movements.
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Reference links
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