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 V50 HzR = 100 ΩL = 200 mHI

A series RL circuit is connected to a 12 V (rms), 50 Hz supply. Find the rms current I.

V = 12 V (rms)f = 50 HzR = 100 ΩL = 200 mH
I = A
2.Easy
50 V50 HzR = 100 ΩL = 20 mHI

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

V = 50 V (rms)f = 50 HzR = 100 ΩL = 20 mH
I = A
3.Medium
50 V60 HzR = 10 ΩL = 200 mHC = 47 µF

A series RLC circuit is connected to a 50 V (rms), 60 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 60 HzR = 10 ΩL = 200 mHC = 47 µF
φ = °
4.Medium
24 V100 HzR = 40 ΩL = 200 mHC = 10 µFI

A series RLC circuit is connected to a 24 V (rms), 100 Hz supply. Find the rms current I.

V = 24 V (rms)f = 100 HzR = 40 ΩL = 200 mHC = 10 µF
I = A
5.Hard
120 V100 HzR = 15 ΩL = 20 mHC = 100 µF

A series RLC circuit is connected to a 120 V (rms), 100 Hz supply. Find the resonant frequency f0 of the circuit.

V = 120 V (rms)f = 100 HzR = 15 ΩL = 20 mHC = 100 µF
f0 = Hz
6.Hard
10 V500 HzR = 80 ΩL = 100 mHC = 100 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 = 80 ΩL = 100 mHC = 100 µF
I = A

Answer key

  1. 1. I = 0.1016 A
  2. 2. I = 0.499 A
  3. 3. φ = 62.19 °
  4. 4. I = 0.46 A
  5. 5. f0 = 112.5 Hz
  6. 6. I = 0.03114 A

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