Practice Step Response (s(t)): The System's Reaction to a Sustained Input - 2.1.2.2 | Module 2: Time Domain Analysis of Continuous-Time Systems | Signals and Systems
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2.1.2.2 - Step Response (s(t)): The System's Reaction to a Sustained Input

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the unit step function represent?

πŸ’‘ Hint: Think about flipping a switch.

Question 2

Easy

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

πŸ’‘ Hint: Consider what happens when a system receives a continuous 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 unit step function u(t)?

  • A function that is always 1
  • A function that is 0 for t < 0 and 1 for t β‰₯ 0
  • A function that is constant

πŸ’‘ 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

πŸ’‘ Hint: Think about what s(t) signifies in terms of input.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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

πŸ’‘ Hint: Consider how you will visualize and record the output.

Question 2

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

πŸ’‘ Hint: Recall how to perform integration with respect to time.

Challenge and get performance evaluation