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
50 V100 HzR = 80 ΩL = 200 mH

A series RL circuit is connected to a 50 V (rms), 100 Hz supply. Find the rms voltage VL across the inductor.

V = 50 V (rms)f = 100 HzR = 80 ΩL = 200 mH
VL = V
2.Easy
100 V60 HzR = 60 ΩL = 250 mHI

A series RL circuit is connected to a 100 V (rms), 60 Hz supply. Find the rms current I.

V = 100 V (rms)f = 60 HzR = 60 ΩL = 250 mH
I = A
3.Medium
120 V500 HzR = 40 ΩL = 200 mHC = 2.2 µFI

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the rms current I.

V = 120 V (rms)f = 500 HzR = 40 ΩL = 200 mHC = 2.2 µF
I = A
4.Medium
50 V200 HzR = 20 ΩL = 20 mHC = 10 µFI

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the rms current I.

V = 50 V (rms)f = 200 HzR = 20 ΩL = 20 mHC = 10 µF
I = A
5.Hard
12 V100 HzR = 25 ΩL = 50 mHC = 47 µF

A series RLC circuit is connected to a 12 V (rms), 100 Hz supply. Find the resonant frequency f0 of the circuit.

V = 12 V (rms)f = 100 HzR = 25 ΩL = 50 mHC = 47 µF
f0 = Hz
6.Hard
5 Vf0​R = 15 ΩL = 200 mHC = 10 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 = 15 ΩL = 200 mHC = 10 µF
VL = V

Answer key

  1. 1. VL = 42.18 V
  2. 2. I = 0.895 A
  3. 3. I = 0.2473 A
  4. 4. I = 0.862 A
  5. 5. f0 = 103.8 Hz
  6. 6. VL = 47.14 V

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