Practice Time-domain Analysis Of First-order Circuits (1.3.7) - Foundations of DC Circuits
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Time-Domain Analysis of First-Order Circuits

Practice - Time-Domain Analysis of First-Order Circuits

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the time constant for an RL circuit with L = 100 mH and R = 20Ω?

💡 Hint: Use the formula τ = L/R.

Question 2 Easy

How long does it take for the current in an RL circuit to reach 63.2% of its final value?

💡 Hint: Recall the definition of time constant.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the time constant for an RL circuit?

L/R
R×C
R/L

💡 Hint: Think about how L and R relate in a first-order circuit.

Question 2

True or False: It takes five time constants for a current in an RL circuit to reach steady state.

True
False

💡 Hint: Recall the general rule applied in time-domain analysis.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Demonstrate the transition of current in an RL circuit when power is suddenly applied and removed by deriving equations and drawing graphs for both step and natural responses.

💡 Hint: Focus on how the equations showcase the behavior during power applications.

Challenge 2 Hard

If an RC circuit has a resistor of 10 kΩ and a capacitor of 500μF, calculate the voltage across the capacitor after 3 time constants when charged from a 12 V source.

💡 Hint: Calculate the time constant first and then use the step response equation.

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Reference links

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