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
230 V50 HzR = 60 ΩL = 50 mHI

A series RL circuit is connected to a 230 V (rms), 50 Hz supply. Find the rms current I.

V = 230 V (rms)f = 50 HzR = 60 ΩL = 50 mH
I = A
2.Easy
24 V60 HzR = 40 ΩL = 250 mHI

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

V = 24 V (rms)f = 60 HzR = 40 ΩL = 250 mH
I = A
3.Medium
120 V500 HzR = 25 ΩL = 150 mHC = 47 µFI

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the rms current I.

V = 120 V (rms)f = 500 HzR = 25 ΩL = 150 mHC = 47 µF
I = A
4.Medium
120 V60 HzR = 40 ΩL = 250 mHC = 4.7 µFI

A series RLC circuit is connected to a 120 V (rms), 60 Hz supply. Find the rms current I.

V = 120 V (rms)f = 60 HzR = 40 ΩL = 250 mHC = 4.7 µF
I = A
5.Hard
12 Vf0​R = 5 ΩL = 5 mHC = 1 µF

A series RLC circuit is driven by a 12 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 12 V (rms)R = 5 ΩL = 5 mHC = 1 µF
VL = V
6.Hard
120 V50 HzR = 30 ΩL = 20 mHC = 10 µFI

A series RLC circuit is connected to a 120 V (rms), 50 Hz supply. Find the rms current I.

V = 120 V (rms)f = 50 HzR = 30 ΩL = 20 mHC = 10 µF
I = A

Answer key

  1. 1. I = 3.708 A
  2. 2. I = 0.2344 A
  3. 3. I = 0.258 A
  4. 4. I = 0.2543 A
  5. 5. VL = 169.7 V
  6. 6. I = 0.3828 A

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