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 V50 HzR = 220 ΩC = 2.2 µFI

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

V = 50 V (rms)f = 50 HzR = 220 ΩC = 2.2 µF
I = A
2.Easy
24 V50 HzR = 30 ΩL = 20 mHI

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

V = 24 V (rms)f = 50 HzR = 30 ΩL = 20 mH
I = A
3.Medium
50 V200 HzR = 100 ΩL = 200 mHC = 10 µF

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 200 HzR = 100 ΩL = 200 mHC = 10 µF
φ = °
4.Medium
100 V100 HzR = 25 ΩL = 150 mHC = 22 µFI

A series RLC circuit is connected to a 100 V (rms), 100 Hz supply. Find the power factor cos φ of the circuit.

V = 100 V (rms)f = 100 HzR = 25 ΩL = 150 mHC = 22 µF
cos φ =
5.Hard
24 V60 HzR = 80 ΩL = 200 mHC = 100 µFI

A series RLC circuit is connected to a 24 V (rms), 60 Hz supply. Find the rms current I.

V = 24 V (rms)f = 60 HzR = 80 ΩL = 200 mHC = 100 µF
I = A
6.Hard
230 V100 HzR = 100 ΩL = 100 mHC = 47 µFI

A series RLC circuit is connected to a 230 V (rms), 100 Hz supply. Find the rms current I.

V = 230 V (rms)f = 100 HzR = 100 ΩL = 100 mHC = 47 µF
I = A

Answer key

  1. 1. I = 0.03416 A
  2. 2. I = 0.783 A
  3. 3. φ = 59.79 °
  4. 4. cos φ = 0.7521
  5. 5. I = 0.256 A
  6. 6. I = 2.209 A

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