Practice - Total Response as a Sum of Components
Practice Questions
Test your understanding with targeted questions
What is the total response of a continuous-time LTI system?
💡 Hint: Remember to include both components in your answer.
Define zero-input response.
💡 Hint: Think about how initial stored energy affects output.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the total response of a system encompass?
💡 Hint: Remember the definition of total response.
True or False: The zero-input response is affected by the applied external input.
💡 Hint: Think of scenarios where inputs are zero.
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Challenge Problems
Push your limits with advanced challenges
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?
💡 Hint: Consider the roles of inductance and stored energy in your analysis.
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.
💡 Hint: Look at how each function contributes to the overall output.
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Reference links
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