Practice Final Value Theorem - 5.3.9 | Module 5: Laplace Transform Analysis of Continuous-Time Systems | Signals and Systems
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5.3.9 - Final Value Theorem

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the Final Value Theorem help to find?

πŸ’‘ Hint: Think about what happens to signals in the long run.

Question 2

Easy

Under what condition is the Final Value Theorem valid?

πŸ’‘ Hint: Where should the poles be for stability?

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 does the Final Value Theorem calculate?

  • The initial value
  • The final/steady-state value
  • The average value

πŸ’‘ Hint: Think about the behavior of signals over time.

Question 2

True or False: The Final Value Theorem is applicable if there are poles in the right half-plane.

  • True
  • False

πŸ’‘ Hint: Consider where the system needs to be stable.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given X(s) = 6 / (s^2 + 3s + 2), determine the final value and discuss its implications regarding system stability.

πŸ’‘ Hint: Analyze the denominator to confirm pole positions.

Question 2

Find a scenario in which the Final Value Theorem fails and explain why it doesn't apply.

πŸ’‘ Hint: Investigate pole locations and behaviors.

Challenge and get performance evaluation