RC & RL transients worksheet with answers

Free printable RC & RL transients worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.Easy

The capacitor is uncharged when the switch closes at t = 0. Find the voltage v_R across the resistor at t = 250 ms.

V_s = 15 VR = 3.3 kΩC = 100 µFt = 250 ms

v_R = V

2.Easy

The capacitor is uncharged when the switch closes at t = 0. Find the charging current i at t = 30 ms.

V_s = 20 VR = 4.7 kΩC = 22 µFt = 30 ms

i = mA

3.Medium

The inductor carries no current before the switch closes at t = 0. Find the voltage v_L across the inductor at t = 1 ms.

V_s = 12 VR = 22 ΩL = 22 mHt = 1 ms

v_L = V

4.Medium

The source Vₛ charges the capacitor through R₁, and R₂ is connected in parallel with C. The capacitor is uncharged when the switch closes at t = 0. Find the time constant τ of the circuit after the switch closes.

V_s = 6 VR₁ = 2.2 kΩR₂ = 1 kΩC = 33 µF

τ = ms

5.Hard

The switch has been closed for a long time, so the circuit is in steady state. At t = 0 the switch opens. Find the capacitor voltage v_C at t = 250 ms.

V_s = 30 VR₁ = 6.8 kΩR₂ = 6.8 kΩC = 100 µFt = 250 ms

v_C = V

6.Hard

The switch has been closed for a long time, so the circuit is in steady state. At t = 0 the switch opens. Find the current i₂ through R₂ at t = 50 ms.

V_s = 30 VR₁ = 2.2 kΩR₂ = 2.2 kΩC = 47 µFt = 50 ms

i₂ = mA

Answer key

1. v_R = 7.032 V
2. i = 3.184 mA
3. v_L = 4.415 V
4. τ = 22.69 ms
5. v_C = 10.39 V
6. i₂ = 4.204 mA

Full step-by-step solutions: practise this topic on examproblems.com.