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.

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1.Easy

The capacitor is uncharged when the switch closes at t = 0. Find the capacitor voltage v_C at t = 200 ms.

V_s = 12 VR = 3.3 kΩC = 220 µFt = 200 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 = 80 ms.

V_s = 24 VR = 1 kΩC = 220 µFt = 80 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 = 10 ms.

V_s = 10 VR = 22 ΩL = 100 mHt = 10 ms

v_L = V

4.Medium

The inductor carries a steady current of 1.5 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 = 1 ms.

i(0) = 1.5 AR = 100 ΩL = 33 mHt = 1 ms

v_R = V

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 = 30 ms.

V_s = 9 VR₁ = 3.3 kΩR₂ = 1 kΩC = 68 µFt = 30 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 capacitor voltage v_C at t = 200 ms.

V_s = 10 VR₁ = 6.8 kΩR₂ = 6.8 kΩC = 10 µFt = 200 ms

v_C = V

Answer key

1. v_C = 2.89 V
2. v_C = 7.317 V
3. v_L = 1.108 V
4. v_R = 7.245 V
5. v_C = 1.346 V
6. v_C = 0.264 V

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