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 V50 HzR = 25 ΩL = 200 mH

A series RL circuit is connected to a 12 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 50 HzR = 25 ΩL = 200 mH
|Z| = Ω
2.Easy
Vf = ?L = 2.2 mH

At what frequency f does a 2.2 mH inductor have a reactance of 10 Ω?

L = 2.2 mHXL = 10 Ω
f = Hz
3.Medium
100 V500 HzR = 80 ΩL = 150 mHC = 2.2 µFI

A series RLC circuit is connected to a 100 V (rms), 500 Hz supply. Find the rms current I.

V = 100 V (rms)f = 500 HzR = 80 ΩL = 150 mHC = 2.2 µF
I = A
4.Medium
230 V100 HzR = 50 ΩL = 100 mHC = 47 µFI

A series RLC circuit is connected to a 230 V (rms), 100 Hz supply. Find the real power P taken from the supply.

V = 230 V (rms)f = 100 HzR = 50 ΩL = 100 mHC = 47 µF
P = W
5.Hard
10 V60 HzR = 60 ΩL = 50 mHC = 47 µF+−VC​

A series RLC circuit is connected to a 10 V (rms), 60 Hz supply. Find the rms voltage VC across the capacitor.

V = 10 V (rms)f = 60 HzR = 60 ΩL = 50 mHC = 47 µF
VC = V
6.Hard
24 Vf0​R = 50 ΩL = 50 mHC = 0.1 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 = 50 ΩL = 50 mHC = 0.1 µF
VL = V

Answer key

  1. 1. |Z| = 67.62 Ω
  2. 2. f = 723.4 Hz
  3. 3. I = 0.2974 A
  4. 4. P = 792.1 W
  5. 5. VC = 7.971 V
  6. 6. VL = 339.4 V

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