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
24 V100 HzR = 20 ΩC = 10 µF

A series RC circuit is connected to a 24 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 100 HzR = 20 ΩC = 10 µF
|Z| = Ω
2.Easy
12 V1000 HzR = 80 ΩC = 2.2 µF

A series RC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 1000 HzR = 80 ΩC = 2.2 µF
|Z| = Ω
3.Medium
100 V1000 HzR = 25 ΩL = 50 mHC = 22 µFI

A series RLC circuit is connected to a 100 V (rms), 1000 Hz supply. Find the rms current I.

V = 100 V (rms)f = 1000 HzR = 25 ΩL = 50 mHC = 22 µF
I = A
4.Medium
100 V1000 HzR = 60 ΩL = 20 mHC = 47 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 = 60 ΩL = 20 mHC = 47 µF
φ = °
5.Hard
VfR = 10 ΩL = 200 mHC = 0.47 µF

A series RLC circuit has R = 10 Ω, L = 200 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 = 200 mHC = 0.47 µF
B = Hz
6.Hard
12 V60 HzR = 25 ΩL = 100 mHC = 10 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 60 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 60 HzR = 25 ΩL = 100 mHC = 10 µF
VC = V

Answer key

  1. 1. |Z| = 160.4 Ω
  2. 2. |Z| = 107.9 Ω
  3. 3. I = 0.3247 A
  4. 4. φ = 63.86 °
  5. 5. B = 7.958 Hz
  6. 6. VC = 13.9 V

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