Practice Poles of H(s): The System's Natural Frequencies - 5.5.2.1 | Module 5: Laplace Transform Analysis of Continuous-Time Systems | Signals and Systems
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5.5.2.1 - Poles of H(s): The System's Natural Frequencies

Learning

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)?

πŸ’‘ Hint: Think about the denominator of a fraction.

Question 2

Easy

What determines if a system is stable?

πŸ’‘ Hint: Consider the location of poles in the s-plane.

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 happens to a system's output when a pole is in the right half-plane?

  • It decays
  • It grows
  • It remains constant

πŸ’‘ Hint: Consider the implications of a right half-plane pole.

Question 2

True or False: Complex poles always lead to stable system behavior.

  • True
  • False

πŸ’‘ Hint: Where do complex poles need to be for stability?

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a transfer function H(s) = (s + 4)/(s^2 + 2s + 5), find the poles and discuss the system's stability.

πŸ’‘ Hint: Use the quadratic formula to find the roots.

Question 2

A system has poles at s = -1, s = -1 + j, s = -1 - j. Are there any conditions affecting stability?

πŸ’‘ Hint: Assess each pole's location individually.

Challenge and get performance evaluation