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
24 V60 HzR = 30 ΩL = 150 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 = 30 ΩL = 150 mH
|Z| = Ω
2.Easy
10 V100 HzR = 60 ΩL = 150 mH

A series RL circuit is connected to a 10 V (rms), 100 Hz supply. Find the rms voltage VL across the inductor.

V = 10 V (rms)f = 100 HzR = 60 ΩL = 150 mH
VL = V
3.Medium
12 V500 HzR = 80 ΩL = 20 mHC = 100 µFI

A series RLC circuit is connected to a 12 V (rms), 500 Hz supply. Find the real power P taken from the supply.

V = 12 V (rms)f = 500 HzR = 80 ΩL = 20 mHC = 100 µF
P = W
4.Medium
50 V50 HzR = 100 ΩL = 100 mHC = 4.7 µFI

A series RLC circuit is connected to a 50 V (rms), 50 Hz supply. Find the power factor cos φ of the circuit.

V = 50 V (rms)f = 50 HzR = 100 ΩL = 100 mHC = 4.7 µF
cos φ =
5.Hard
12 V1000 HzR = 100 ΩL = 200 mHC = 100 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 1000 HzR = 100 ΩL = 200 mHC = 100 µF
VC = V
6.Hard
100 V1000 HzR = 40 ΩL = 50 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 100 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 100 V (rms)f = 1000 HzR = 40 ΩL = 50 mHC = 22 µF
VC = V

Answer key

  1. 1. |Z| = 64.01 Ω
  2. 2. VL = 8.436 V
  3. 3. P = 1.157 W
  4. 4. cos φ = 0.153
  5. 5. VC = 0.01517 V
  6. 6. VC = 2.337 V

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