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 V50 HzR = 80 ΩC = 2.2 µFI

A series RC circuit is connected to a 120 V (rms), 50 Hz supply. Find the rms current I.

V = 120 V (rms)f = 50 HzR = 80 ΩC = 2.2 µF
I = A
2.Easy
230 V50 HzR = 100 ΩL = 50 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 = 100 ΩL = 50 mH
|Z| = Ω
3.Medium
50 V500 HzR = 20 ΩL = 50 mHC = 1 µFI

A series RLC circuit is connected to a 50 V (rms), 500 Hz supply. Find the rms current I.

V = 50 V (rms)f = 500 HzR = 20 ΩL = 50 mHC = 1 µF
I = A
4.Medium
24 V100 HzR = 30 ΩL = 200 mHC = 47 µF

A series RLC circuit is connected to a 24 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 100 HzR = 30 ΩL = 200 mHC = 47 µF
φ = °
5.Hard
1 Vf0​R = 50 ΩL = 10 mHC = 1 µF

A series RLC circuit is driven by a 1 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 1 V (rms)R = 50 ΩL = 10 mHC = 1 µF
VL = V
6.Hard
VfR = 50 ΩL = 50 mHC = 1 µF

A series RLC circuit has R = 50 Ω, L = 50 mH and C = 1 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 50 ΩL = 50 mHC = 1 µF
B = Hz

Answer key

  1. 1. I = 0.08281 A
  2. 2. |Z| = 101.2 Ω
  3. 3. I = 0.3078 A
  4. 4. φ = 71.9 °
  5. 5. VL = 2 V
  6. 6. B = 159.2 Hz

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