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 V50 HzR = 40 ΩL = 150 mH

A series RL circuit is connected to a 24 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 50 HzR = 40 ΩL = 150 mH
|Z| = Ω
2.Easy
100 V50 HzR = 100 ΩC = 22 µFI

A series RC circuit is connected to a 100 V (rms), 50 Hz supply. Find the rms current I.

V = 100 V (rms)f = 50 HzR = 100 ΩC = 22 µF
I = A
3.Medium
12 V1000 HzR = 50 ΩL = 50 mHC = 22 µF

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 12 V (rms)f = 1000 HzR = 50 ΩL = 50 mHC = 22 µF
φ = °
4.Medium
12 V50 HzR = 50 ΩL = 200 mHI

A resistor and an inductor are connected in parallel across a 12 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 50 HzR = 50 ΩL = 200 mH
|Z| = Ω
5.Hard
10 V100 HzR = 25 ΩL = 200 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 10 V (rms), 100 Hz supply. Find the rms voltage VC across the capacitor.

V = 10 V (rms)f = 100 HzR = 25 ΩL = 200 mHC = 4.7 µF
VC = V
6.Hard
12 V100 HzR = 15 ΩL = 250 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 100 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 100 HzR = 15 ΩL = 250 mHC = 22 µF
VC = V

Answer key

  1. 1. |Z| = 61.81 Ω
  2. 2. I = 0.5686 A
  3. 3. φ = 80.75 °
  4. 4. |Z| = 39.12 Ω
  5. 5. VC = 15.79 V
  6. 6. VC = 10.09 V

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