Practice Total Response as a Sum of Components - 2.2.3.4 | Module 2: Time Domain Analysis of Continuous-Time Systems | Signals and Systems
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2.2.3.4 - Total Response as a Sum of Components

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the total response of a continuous-time LTI system?

πŸ’‘ Hint: Remember to include both components in your answer.

Question 2

Easy

Define zero-input response.

πŸ’‘ Hint: Think about how initial stored energy affects output.

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 does the total response of a system encompass?

  • Only the zero-input response
  • Only the zero-state response
  • The sum of zero-input and zero-state responses

πŸ’‘ Hint: Remember the definition of total response.

Question 2

True or False: The zero-input response is affected by the applied external input.

  • True
  • False

πŸ’‘ Hint: Think of scenarios where inputs are zero.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In an electrical circuit comprising an inductor, if it is energized and then isolated, how would you characterize its zero-input response compared to its zero-state response when exposed to a pulsed voltage?

πŸ’‘ Hint: Consider the roles of inductance and stored energy in your analysis.

Question 2

Create a mathematical model for a system where the zero-state response is instantaneous while the zero-input response decays exponentially. Explain how you would interpret the total response.

πŸ’‘ Hint: Look at how each function contributes to the overall output.

Challenge and get performance evaluation