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
100 V1000 HzR = 20 ΩC = 10 µF

A series RC circuit is connected to a 100 V (rms), 1000 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 1000 HzR = 20 ΩC = 10 µF
|Z| = Ω
2.Easy
24 V60 HzR = 40 ΩL = 100 mH

A series RL circuit is connected to a 24 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 60 HzR = 40 ΩL = 100 mH
|Z| = Ω
3.Medium
Vf0​ = 200 HzRL = ?C = 0.47 µF

A series RLC circuit with C = 0.47 µF must resonate at 200 Hz. Find the inductance L needed.

f0 = 200 HzC = 0.47 µF
L = mH
4.Medium
100 V50 HzR = 80 ΩC = 10 µFI

A resistor and a capacitor are connected in parallel across a 100 V (rms), 50 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 50 HzR = 80 ΩC = 10 µF
φ = °
5.Hard
230 V1000 HzR = 60 ΩL = 100 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 230 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 230 V (rms)f = 1000 HzR = 60 ΩL = 100 mHC = 4.7 µF
VC = V
6.Hard
50 V1000 HzR = 15 ΩL = 20 mHC = 10 µF+−VC​

A series RLC circuit is connected to a 50 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 50 V (rms)f = 1000 HzR = 15 ΩL = 20 mHC = 10 µF
VC = V

Answer key

  1. 1. |Z| = 25.56 Ω
  2. 2. |Z| = 54.97 Ω
  3. 3. L = 1347 mH
  4. 4. φ = −14.11 °
  5. 5. VC = 13.04 V
  6. 6. VC = 7.184 V

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