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
24 V50 HzR = 15 ΩL = 250 mH

A series RL circuit is connected to a 24 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 50 HzR = 15 ΩL = 250 mH
|Z| = Ω
2.Easy
24 V50 HzR = 25 ΩL = 100 mH

A series RL circuit is connected to a 24 V (rms), 50 Hz supply. Find the rms voltage VL across the inductor.

V = 24 V (rms)f = 50 HzR = 25 ΩL = 100 mH
VL = V
3.Medium
100 V50 HzR = 60 ΩL = 200 mHC = 10 µFI

A series RLC circuit is connected to a 100 V (rms), 50 Hz supply. Find the rms current I.

V = 100 V (rms)f = 50 HzR = 60 ΩL = 200 mHC = 10 µF
I = A
4.Medium
100 V60 HzR = 100 ΩL = 150 mHC = 10 µFI

A series RLC circuit is connected to a 100 V (rms), 60 Hz supply. Find the rms current I.

V = 100 V (rms)f = 60 HzR = 100 ΩL = 150 mHC = 10 µF
I = A
5.Hard
2 Vf0​R = 5 ΩL = 20 mHC = 2.2 µF

A series RLC circuit is driven by a 2 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 2 V (rms)R = 5 ΩL = 20 mHC = 2.2 µF
VL = V
6.Hard
24 Vf0​R = 15 ΩL = 50 mHC = 0.22 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 = 15 ΩL = 50 mHC = 0.22 µF
VL = V

Answer key

  1. 1. |Z| = 79.96 Ω
  2. 2. VL = 18.78 V
  3. 3. I = 0.3811 A
  4. 4. I = 0.4321 A
  5. 5. VL = 38.14 V
  6. 6. VL = 762.8 V

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