Practice Deriving Frequency Response From H(s) (by Setting S = J*omega) (5.5.4)
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Deriving Frequency Response from H(s) (by setting s = j*omega)

Practice - Deriving Frequency Response from H(s) (by setting s = j*omega)

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define frequency response in terms of H(jω).

💡 Hint: Think about how we substitute s in the transfer function.

Question 2 Easy

What does |H(jω)| represent?

💡 Hint: Consider how the amplitude might change with input.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the frequency response H(jω)?

The response at a specific frequency
The integral of the system function

💡 Hint: Focus on how we assess system behavior with different frequencies.

Question 2

True or False: The magnitude response |H(jω)| is always greater than 1.

True
False

💡 Hint: Consider systems with amplification.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a transfer function H(s) = 1/(s^2 + s + 1), derive H(jω) and describe the resulting frequency response.

💡 Hint: Start with complex number manipulations for real and imaginary parts.

Challenge 2 Hard

An LTI system has a transfer function H(s) = (s + 2)/(s^2 + 3s + 2). Calculate the frequency response and assess stability.

💡 Hint: Identify poles and ensure they reside in the left half-plane for system stability.

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Reference links

Supplementary resources to enhance your learning experience.