Practice Step Response (s(t)): The System's Reaction To A Sustained Input (2.1.2.2)
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Step Response (s(t)): The System's Reaction to a Sustained Input

Practice - Step Response (s(t)): The System's Reaction to a Sustained Input

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the unit step function represent?

💡 Hint: Think about flipping a switch.

Question 2 Easy

What is the output of an LTI system with a step input called?

💡 Hint: Consider what happens when a system receives a continuous input.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the unit step function u(t)?

A function that is always 1
A function that is 0 for t < 0 and 1 for t ≥ 0
A function that is constant

💡 Hint: Consider how the function behaves at different times.

Question 2

Is the step response s(t) the output when the input is u(t)?

True
False

💡 Hint: Think about what s(t) signifies in terms of input.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Design an experiment to measure the step response of a physical system, outlining the necessary equipment and the steps to take.

💡 Hint: Consider how you will visualize and record the output.

Challenge 2 Hard

For a specific LTI system with an impulse response h(t) = e^(-at)u(t), derive the step response s(t).

💡 Hint: Recall how to perform integration with respect to time.

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Reference links

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