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 = 30 ΩL = 250 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 = 30 ΩL = 250 mH
I = A
2.Easy
12 V60 HzR = 25 ΩL = 50 mH

A series RL circuit is connected to a 12 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 60 HzR = 25 ΩL = 50 mH
|Z| = Ω
3.Medium
24 V100 HzR = 15 ΩL = 200 mHC = 22 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 = 15 ΩL = 200 mHC = 22 µF
I = A
4.Medium
12 V60 HzR = 60 ΩL = 150 mHC = 22 µFI

A series RLC circuit is connected to a 12 V (rms), 60 Hz supply. Find the real power P taken from the supply.

V = 12 V (rms)f = 60 HzR = 60 ΩL = 150 mHC = 22 µF
P = W
5.Hard
VfR = 5 ΩL = 5 mHC = 0.01 µF

A series RLC circuit has R = 5 Ω, L = 5 mH and C = 0.01 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 5 ΩL = 5 mHC = 0.01 µF
B = Hz
6.Hard
2 Vf0​R = 5 ΩL = 50 mHC = 4.7 µF

A series RLC circuit is driven by a 2 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 2 V (rms)R = 5 ΩL = 50 mHC = 4.7 µF
VL = V

Answer key

  1. 1. I = 0.1427 A
  2. 2. |Z| = 31.31 Ω
  3. 3. I = 0.4333 A
  4. 4. P = 1.122 W
  5. 5. B = 159.2 Hz
  6. 6. VL = 41.26 V

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