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
12 V60 HzR = 15 ΩL = 20 mH

A series RL circuit is connected to a 12 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 60 HzR = 15 ΩL = 20 mH
|Z| = Ω
2.Easy
120 V60 HzR = 15 ΩL = 100 mH

A series RL circuit is connected to a 120 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 120 V (rms)f = 60 HzR = 15 ΩL = 100 mH
|Z| = Ω
3.Medium
50 V100 HzR = 25 ΩL = 20 mHC = 47 µF

A series RLC circuit is connected to a 50 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 100 HzR = 25 ΩL = 20 mHC = 47 µF
φ = °
4.Medium
120 V1000 HzR = 60 ΩL = 150 mHC = 47 µFI

A series RLC circuit is connected to a 120 V (rms), 1000 Hz supply. Find the rms current I.

V = 120 V (rms)f = 1000 HzR = 60 ΩL = 150 mHC = 47 µF
I = A
5.Hard
24 V500 HzR = 100 ΩL = 100 mHC = 47 µFI

A series RLC circuit is connected to a 24 V (rms), 500 Hz supply. Find the rms current I.

V = 24 V (rms)f = 500 HzR = 100 ΩL = 100 mHC = 47 µF
I = A
6.Hard
230 V1000 HzR = 80 ΩL = 150 mHC = 1 µF+−VC​

A series RLC circuit is connected to a 230 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 230 V (rms)f = 1000 HzR = 80 ΩL = 150 mHC = 1 µF
VC = V

Answer key

  1. 1. |Z| = 16.79 Ω
  2. 2. |Z| = 40.57 Ω
  3. 3. φ = −40.43 °
  4. 4. I = 0.1275 A
  5. 5. I = 0.07425 A
  6. 6. VC = 46.49 V

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