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 capacitor voltage v_C at t = 1000 ms.

V_s = 15 VR = 4.7 kΩC = 100 µFt = 1000 ms

v_C = V

2.Easy

The capacitor is uncharged when the switch closes at t = 0. Find the capacitor voltage v_C at t = 100 ms.

V_s = 10 VR = 1 kΩC = 220 µFt = 100 ms

v_C = V

3.Medium

The inductor carries no current before the switch closes at t = 0. Find the voltage v_L across the inductor at t = 20 ms.

V_s = 24 VR = 20 ΩL = 220 mHt = 20 ms

v_L = V

4.Medium

The inductor carries a steady current of 0.5 A. At t = 0 the switch closes the loop through R and the source is removed, so the inductor current decays through R. Find the voltage v_R across R at t = 5 ms.

i(0) = 0.5 AR = 68 ΩL = 220 mHt = 5 ms

v_R = V

5.Hard

The switch across R₂ has been closed for a long time, so the inductor current is steady. At t = 0 the switch opens. Find the inductor current i at t = 5 ms.

V_s = 6 VR₁ = 47 ΩR₂ = 10 ΩL = 220 mHt = 5 ms

i = A

6.Hard

The switch across R₂ has been closed for a long time, so the inductor current is steady. At t = 0 the switch opens. Find the inductor current i at t = 1 ms.

V_s = 12 VR₁ = 22 ΩR₂ = 47 ΩL = 47 mHt = 1 ms

i = A

Answer key

1. v_C = 13.21 V
2. v_C = 3.653 V
3. v_L = 3.896 V
4. v_R = 7.249 V
5. i = 0.1114 A
6. i = 0.2595 A

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