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 V100 HzR = 25 ΩC = 10 µF

A series RC circuit is connected to a 12 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 100 HzR = 25 ΩC = 10 µF
φ = °
2.Easy
10 V50 HzR = 30 ΩL = 200 mH

A series RL circuit is connected to a 10 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 10 V (rms)f = 50 HzR = 30 ΩL = 200 mH
|Z| = Ω
3.Medium
24 V200 HzR = 40 ΩL = 200 mHC = 4.7 µFI

A series RLC circuit is connected to a 24 V (rms), 200 Hz supply. Find the real power P taken from the supply.

V = 24 V (rms)f = 200 HzR = 40 ΩL = 200 mHC = 4.7 µF
P = W
4.Medium
230 V500 HzR = 60 ΩL = 200 mHC = 4.7 µF

A series RLC circuit is connected to a 230 V (rms), 500 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 230 V (rms)f = 500 HzR = 60 ΩL = 200 mHC = 4.7 µF
φ = °
5.Hard
VfR = 10 ΩL = 1 mHC = 0.47 µF

A series RLC circuit has R = 10 Ω, L = 1 mH and C = 0.47 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 10 ΩL = 1 mHC = 0.47 µF
B = Hz
6.Hard
100 V100 HzR = 50 ΩL = 20 mHC = 100 µF+−VC​

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

V = 100 V (rms)f = 100 HzR = 50 ΩL = 20 mHC = 100 µF
VC = V

Answer key

  1. 1. φ = −81.07 °
  2. 2. |Z| = 69.63 Ω
  3. 3. P = 2.767 W
  4. 4. φ = 83.89 °
  5. 5. B = 1592 Hz
  6. 6. VC = 31.76 V

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