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 V60 HzR = 40 ΩL = 150 mHI

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the rms current I.

V = 50 V (rms)f = 60 HzR = 40 ΩL = 150 mH
I = A
2.Easy
230 V50 HzR = 30 ΩL = 20 mH

A series RL circuit is connected to a 230 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 230 V (rms)f = 50 HzR = 30 ΩL = 20 mH
|Z| = Ω
3.Medium
50 V50 HzR = 40 ΩL = 200 mHC = 22 µFI

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

V = 50 V (rms)f = 50 HzR = 40 ΩL = 200 mHC = 22 µF
I = A
4.Medium
10 V200 HzR = 10 ΩL = 20 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 = 10 ΩL = 20 mHC = 100 µF
I = A
5.Hard
24 Vf0​R = 20 ΩL = 5 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 = 20 ΩL = 5 mHC = 0.1 µF
VL = V
6.Hard
24 V50 HzR = 80 ΩL = 20 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 24 V (rms), 50 Hz supply. Find the rms voltage VC across the capacitor.

V = 24 V (rms)f = 50 HzR = 80 ΩL = 20 mHC = 22 µF
VC = V

Answer key

  1. 1. I = 0.7219 A
  2. 2. |Z| = 30.65 Ω
  3. 3. I = 0.5488 A
  4. 4. I = 0.5032 A
  5. 5. VL = 268.3 V
  6. 6. VC = 21.72 V

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