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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the Laplace Transform of δ(t)?
💡 Hint: Think about the special case of the Dirac Delta function.
Question 2
Easy
Define the sifting property.
💡 Hint: Consider the integral of f(t) multiplied by δ(t-a).
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 is the Laplace Transform of δ(t - a)?
- 1
- e^{-as}
- 0
💡 Hint: Review the properties of Laplace Transforms for delta functions.
Question 2
The Dirac Delta function is always zero except at:
- True
- False
💡 Hint: Reflect on the definition of Dirac Delta.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the equation d²y/dt² + 2dy/dt + 5y = δ(t - 1), find the solution y(t).
💡 Hint: Consider the impulse response of a second-order system.
Question 2
Explain how you would model a digital signal using the Dirac Delta function and Laplace Transform.
💡 Hint: Think about transforming a series of impulses into a continuous representation.
Challenge and get performance evaluation