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
120 V50 HzR = 50 ΩL = 150 mHI

A series RL circuit is connected to a 120 V (rms), 50 Hz supply. Find the rms current I.

V = 120 V (rms)f = 50 HzR = 50 ΩL = 150 mH
I = A
2.Easy
120 V60 HzR = 30 ΩL = 250 mHI

A series RL circuit is connected to a 120 V (rms), 60 Hz supply. Find the rms current I.

V = 120 V (rms)f = 60 HzR = 30 ΩL = 250 mH
I = A
3.Medium
50 V500 HzR = 50 ΩL = 20 mHI

A resistor and an inductor are connected in parallel across a 50 V (rms), 500 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 500 HzR = 50 ΩL = 20 mH
|Z| = Ω
4.Medium
50 V100 HzR = 30 ΩL = 200 mHI

A resistor and an inductor are connected in parallel across a 50 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 100 HzR = 30 ΩL = 200 mH
|Z| = Ω
5.Hard
10 Vf0​R = 15 ΩL = 50 mHC = 0.47 µF

A series RLC circuit is driven by a 10 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 10 V (rms)R = 15 ΩL = 50 mHC = 0.47 µF
VL = V
6.Hard
24 Vf0​R = 5 ΩL = 5 mHC = 0.22 µF

A series RLC circuit is driven by a 24 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 24 V (rms)R = 5 ΩL = 5 mHC = 0.22 µF
VL = V

Answer key

  1. 1. I = 1.747 A
  2. 2. I = 1.213 A
  3. 3. |Z| = 39.12 Ω
  4. 4. |Z| = 29.18 Ω
  5. 5. VL = 217.4 V
  6. 6. VL = 723.6 V

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