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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define impulse response.
💡 Hint: Think about the instantaneous effect on the system.
Question 2
Easy
What is a step response?
💡 Hint: Consider how the system reacts to a sustained input.
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 impulse response of a system?
- Output when input is a step function
- Output when input is Dirac delta function
- Output when input is zero
💡 Hint: Recall the definition of impulse response.
Question 2
True or False: The step response can be derived from the impulse response by differentiation.
- True
- False
💡 Hint: Review the relationships between these responses.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given an impulse response h(t) = e^(-t)u(t), derive the step response s(t) and explain each step.
💡 Hint: Use the properties of the exponential function while integrating.
Question 2
For a step response s(t) = 1 - e^(-3t)u(t), derive and interpret the impulse response h(t). What does this reveal about system behavior?
💡 Hint: Differentiation will guide your understanding of how quickly the output changes from the sustained input.
Challenge and get performance evaluation