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 V50 HzR = 50 ΩL = 100 mHI

A series RL circuit is connected to a 230 V (rms), 50 Hz supply. Find the rms current I.

V = 230 V (rms)f = 50 HzR = 50 ΩL = 100 mH
I = A
2.Easy
12 V200 HzR = 100 ΩL = 250 mH

A series RL circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms voltage VL across the inductor.

V = 12 V (rms)f = 200 HzR = 100 ΩL = 250 mH
VL = V
3.Medium
230 V60 HzR = 60 ΩC = 47 µFI

A resistor and a capacitor are connected in parallel across a 230 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 230 V (rms)f = 60 HzR = 60 ΩC = 47 µF
|Z| = Ω
4.Medium
10 V500 HzR = 60 ΩL = 20 mHC = 10 µF

A series RLC circuit is connected to a 10 V (rms), 500 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 10 V (rms)f = 500 HzR = 60 ΩL = 20 mHC = 10 µF
φ = °
5.Hard
2 Vf0​R = 10 ΩL = 20 mHC = 10 µF

A series RLC circuit is driven by a 2 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 2 V (rms)R = 10 ΩL = 20 mHC = 10 µF
VL = V
6.Hard
12 V50 HzR = 15 ΩL = 150 mHC = 47 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 50 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 50 HzR = 15 ΩL = 150 mHC = 47 µF
VC = V

Answer key

  1. 1. I = 3.895 A
  2. 2. VL = 11.43 V
  3. 3. |Z| = 41.11 Ω
  4. 4. φ = 27.32 °
  5. 5. VL = 8.944 V
  6. 6. VC = 31.89 V

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