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
100 V200 HzR = 20 ΩC = 47 µF

A series RC circuit is connected to a 100 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 200 HzR = 20 ΩC = 47 µF
|Z| = Ω
2.Easy
100 V50 HzR = 40 ΩL = 100 mHI

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

V = 100 V (rms)f = 50 HzR = 40 ΩL = 100 mH
I = A
3.Medium
24 V200 HzR = 40 ΩL = 50 mHC = 22 µF

A series RLC circuit is connected to a 24 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 200 HzR = 40 ΩL = 50 mHC = 22 µF
φ = °
4.Medium
50 V60 HzR = 25 ΩL = 20 mHC = 10 µFI

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

V = 50 V (rms)f = 60 HzR = 25 ΩL = 20 mHC = 10 µF
I = A
5.Hard
5 Vf0​R = 20 ΩL = 20 mHC = 10 µF

A series RLC circuit is driven by a 5 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 5 V (rms)R = 20 ΩL = 20 mHC = 10 µF
VL = V
6.Hard
12 Vf0​R = 20 ΩL = 200 mHC = 4.7 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 = 20 ΩL = 200 mHC = 4.7 µF
VL = V

Answer key

  1. 1. |Z| = 26.2 Ω
  2. 2. I = 1.966 A
  3. 3. φ = 33.68 °
  4. 4. I = 0.1931 A
  5. 5. VL = 11.18 V
  6. 6. VL = 123.8 V

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