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 V60 HzR = 60 ΩL = 150 mH

A series RL circuit is connected to a 120 V (rms), 60 Hz supply. Find the rms voltage VR across the resistor.

V = 120 V (rms)f = 60 HzR = 60 ΩL = 150 mH
VR = V
2.Easy
120 V60 HzR = 50 ΩL = 100 mH

A series RL circuit is connected to a 120 V (rms), 60 Hz supply. Find the rms voltage VL across the inductor.

V = 120 V (rms)f = 60 HzR = 50 ΩL = 100 mH
VL = V
3.Medium
100 V60 HzR = 30 ΩL = 50 mHC = 100 µFI

A series RLC circuit is connected to a 100 V (rms), 60 Hz supply. Find the real power P taken from the supply.

V = 100 V (rms)f = 60 HzR = 30 ΩL = 50 mHC = 100 µF
P = W
4.Medium
230 V200 HzR = 60 ΩL = 100 mHI

A resistor and an inductor are connected in parallel across a 230 V (rms), 200 Hz supply. Find the magnitude of the impedance |Z|.

V = 230 V (rms)f = 200 HzR = 60 ΩL = 100 mH
|Z| = Ω
5.Hard
230 V100 HzR = 30 ΩL = 200 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 230 V (rms), 100 Hz supply. Find the rms voltage VC across the capacitor.

V = 230 V (rms)f = 100 HzR = 30 ΩL = 200 mHC = 22 µF
VC = V
6.Hard
VfR = 50 ΩL = 2 mHC = 0.022 µF

A series RLC circuit has R = 50 Ω, L = 2 mH and C = 0.022 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 50 ΩL = 2 mHC = 0.022 µF
B = Hz

Answer key

  1. 1. VR = 87.33 V
  2. 2. VL = 72.24 V
  3. 3. P = 312.9 W
  4. 4. |Z| = 54.14 Ω
  5. 5. VC = 272 V
  6. 6. B = 3979 Hz

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