AC impedance & phasors worksheet with answers

Free printable AC impedance & phasors 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
230 V200 HzR = 10 ΩC = 47 µF

A series RC circuit is connected to a 230 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 230 V (rms)f = 200 HzR = 10 ΩC = 47 µF
|Z| = Ω
2.Easy
100 V50 HzR = 20 ΩL = 250 mH

A series RL circuit is connected to a 100 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 50 HzR = 20 ΩL = 250 mH
|Z| = Ω
3.Medium
100 V100 HzR = 40 ΩC = 100 µFI

A resistor and a capacitor are connected in parallel across a 100 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 100 HzR = 40 ΩC = 100 µF
|Z| = Ω
4.Medium
Vf0​ = 5000 HzRL = ?C = 22 µF

A series RLC circuit with C = 22 µF must resonate at 5000 Hz. Find the inductance L needed.

f0 = 5000 HzC = 22 µF
L = mH
5.Hard
1 Vf0​R = 10 ΩL = 10 mHC = 2.2 µF

A series RLC circuit is driven by a 1 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 1 V (rms)R = 10 ΩL = 10 mHC = 2.2 µF
VL = V
6.Hard
100 V500 HzR = 60 ΩL = 200 mHC = 10 µF+−VC​

A series RLC circuit is connected to a 100 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 100 V (rms)f = 500 HzR = 60 ΩL = 200 mHC = 10 µF
VC = V

Answer key

  1. 1. |Z| = 19.66 Ω
  2. 2. |Z| = 81.05 Ω
  3. 3. |Z| = 14.79 Ω
  4. 4. L = 0.04606 mH
  5. 5. VL = 6.742 V
  6. 6. VC = 5.31 V

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