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 V50 HzR = 10 ΩL = 50 mHI

A series RL circuit is connected to a 100 V (rms), 50 Hz supply. Find the rms current I.

V = 100 V (rms)f = 50 HzR = 10 ΩL = 50 mH
I = A
2.Easy
50 V60 HzR = 30 ΩL = 250 mHI

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the rms current I.

V = 50 V (rms)f = 60 HzR = 30 ΩL = 250 mH
I = A
3.Medium
24 V200 HzR = 20 ΩL = 100 mHC = 47 µF

A series RLC circuit is connected to a 24 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 200 HzR = 20 ΩL = 100 mHC = 47 µF
φ = °
4.Medium
100 V1000 HzR = 100 ΩL = 20 mHC = 2.2 µF

A series RLC circuit is connected to a 100 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 1000 HzR = 100 ΩL = 20 mHC = 2.2 µF
φ = °
5.Hard
24 V50 HzR = 80 ΩL = 150 mHC = 2.2 µFI

A series RLC circuit is connected to a 24 V (rms), 50 Hz supply. Find the rms current I.

V = 24 V (rms)f = 50 HzR = 80 ΩL = 150 mHC = 2.2 µF
I = A
6.Hard
5 Vf0​R = 10 ΩL = 20 mHC = 0.1 µF

A series RLC circuit is driven by a 5 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 5 V (rms)R = 10 ΩL = 20 mHC = 0.1 µF
VL = V

Answer key

  1. 1. I = 5.37 A
  2. 2. I = 0.5055 A
  3. 3. φ = 79.58 °
  4. 4. φ = 28.07 °
  5. 5. I = 0.01712 A
  6. 6. VL = 223.6 V

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