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 = 30 ΩL = 100 mH

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

V = 50 V (rms)f = 100 HzR = 30 ΩL = 100 mH
VR = V
2.Easy
230 V60 HzR = 20 ΩL = 20 mH

A series RL circuit is connected to a 230 V (rms), 60 Hz supply. Find the rms voltage VL across the inductor.

V = 230 V (rms)f = 60 HzR = 20 ΩL = 20 mH
VL = V
3.Medium
24 V60 HzR = 50 ΩL = 20 mHC = 47 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 = 50 ΩL = 20 mHC = 47 µF
I = A
4.Medium
10 V200 HzR = 100 ΩL = 200 mHC = 100 µFI

A series RLC circuit is connected to a 10 V (rms), 200 Hz supply. Find the rms current I.

V = 10 V (rms)f = 200 HzR = 100 ΩL = 200 mHC = 100 µF
I = A
5.Hard
100 V200 HzR = 30 ΩL = 200 mHC = 1 µF+−VC​

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the rms voltage VC across the capacitor.

V = 100 V (rms)f = 200 HzR = 30 ΩL = 200 mHC = 1 µF
VC = V
6.Hard
10 Vf0​R = 5 ΩL = 5 mHC = 0.1 µF

A series RLC circuit is driven by a 10 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 10 V (rms)R = 5 ΩL = 5 mHC = 0.1 µF
VL = V

Answer key

  1. 1. VR = 21.54 V
  2. 2. VL = 81.13 V
  3. 3. I = 0.3432 A
  4. 4. I = 0.03801 A
  5. 5. VC = 145.9 V
  6. 6. VL = 447.2 V

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