Practice Final Value Theorem (5.3.9) - Laplace Transform Analysis of Continuous-Time Systems
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Final Value Theorem

Practice - Final Value Theorem

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the Final Value Theorem help to find?

💡 Hint: Think about what happens to signals in the long run.

Question 2 Easy

Under what condition is the Final Value Theorem valid?

💡 Hint: Where should the poles be for stability?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Final Value Theorem calculate?

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

💡 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

💡 Hint: Consider where the system needs to be stable.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Analyze the denominator to confirm pole positions.

Challenge 2 Hard

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

💡 Hint: Investigate pole locations and behaviors.

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Reference links

Supplementary resources to enhance your learning experience.