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
120 V1000 HzR = 10 ΩC = 10 µF

A series RC circuit is connected to a 120 V (rms), 1000 Hz supply. Find the magnitude of the impedance |Z|.

V = 120 V (rms)f = 1000 HzR = 10 ΩC = 10 µF
|Z| = Ω
2.Easy
100 V50 HzR = 80 ΩL = 150 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 = 80 ΩL = 150 mH
I = A
3.Medium
12 V200 HzR = 80 ΩL = 200 mHC = 100 µFI

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms current I.

V = 12 V (rms)f = 200 HzR = 80 ΩL = 200 mHC = 100 µF
I = A
4.Medium
50 V200 HzR = 15 ΩL = 250 mHC = 10 µF

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 200 HzR = 15 ΩL = 250 mHC = 10 µF
φ = °
5.Hard
12 Vf0​R = 10 ΩL = 5 mHC = 0.1 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 = 10 ΩL = 5 mHC = 0.1 µF
VL = V
6.Hard
120 V1000 HzR = 60 ΩL = 150 mHC = 10 µFI

A series RLC circuit is connected to a 120 V (rms), 1000 Hz supply. Find the rms current I.

V = 120 V (rms)f = 1000 HzR = 60 ΩL = 150 mHC = 10 µF
I = A

Answer key

  1. 1. |Z| = 18.8 Ω
  2. 2. I = 1.077 A
  3. 3. I = 0.04684 A
  4. 4. φ = 86.34 °
  5. 5. VL = 268.3 V
  6. 6. I = 0.1292 A

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