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 V200 HzR = 60 ΩL = 150 mH

A series RL circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms voltage VR across the resistor.

V = 12 V (rms)f = 200 HzR = 60 ΩL = 150 mH
VR = V
2.Easy
230 V50 HzR = 100 ΩL = 20 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 = 100 ΩL = 20 mH
I = A
3.Medium
10 V500 HzR = 100 ΩL = 50 mHC = 2.2 µFI

A series RLC circuit is connected to a 10 V (rms), 500 Hz supply. Find the rms current I.

V = 10 V (rms)f = 500 HzR = 100 ΩL = 50 mHC = 2.2 µF
I = A
4.Medium
50 V50 HzR = 15 ΩL = 50 mHC = 100 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 = 15 ΩL = 50 mHC = 100 µF
I = A
5.Hard
120 V200 HzR = 40 ΩL = 20 mHC = 10 µF

A series RLC circuit is connected to a 120 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 120 V (rms)f = 200 HzR = 40 ΩL = 20 mHC = 10 µF
f0 = Hz
6.Hard
100 V50 HzR = 25 ΩL = 50 mHC = 47 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 = 25 ΩL = 50 mHC = 47 µF
I = A

Answer key

  1. 1. VR = 3.64 V
  2. 2. I = 2.295 A
  3. 3. I = 0.09924 A
  4. 4. I = 2.27 A
  5. 5. f0 = 355.9 Hz
  6. 6. I = 1.733 A

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