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 V60 HzR = 80 ΩC = 4.7 µFI

A series RC circuit is connected to a 12 V (rms), 60 Hz supply. Find the rms current I.

V = 12 V (rms)f = 60 HzR = 80 ΩC = 4.7 µF
I = A
2.Easy
12 V100 HzR = 50 ΩL = 100 mH

A series RL circuit is connected to a 12 V (rms), 100 Hz supply. Find the rms voltage VR across the resistor.

V = 12 V (rms)f = 100 HzR = 50 ΩL = 100 mH
VR = V
3.Medium
100 V1000 HzR = 80 ΩL = 200 mHC = 4.7 µF

A series RLC circuit is connected to a 100 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 1000 HzR = 80 ΩL = 200 mHC = 4.7 µF
φ = °
4.Medium
100 V60 HzR = 40 ΩL = 200 mHC = 10 µFI

A series RLC circuit is connected to a 100 V (rms), 60 Hz supply. Find the rms current I.

V = 100 V (rms)f = 60 HzR = 40 ΩL = 200 mHC = 10 µF
I = A
5.Hard
VfR = 15 ΩL = 20 mHC = 10 µF

A series RLC circuit has R = 15 Ω, L = 20 mH and C = 10 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 15 ΩL = 20 mHC = 10 µF
B = Hz
6.Hard
230 V500 HzR = 80 ΩL = 250 mHC = 1 µF+−VC​

A series RLC circuit is connected to a 230 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 230 V (rms)f = 500 HzR = 80 ΩL = 250 mHC = 1 µF
VC = V

Answer key

  1. 1. I = 0.02105 A
  2. 2. VR = 7.472 V
  3. 3. φ = 86.26 °
  4. 4. I = 0.5154 A
  5. 5. B = 119.4 Hz
  6. 6. VC = 154.5 V

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