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
100 V60 HzR = 40 ΩC = 10 µF

A series RC circuit is connected to a 100 V (rms), 60 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 100 V (rms)f = 60 HzR = 40 ΩC = 10 µF
φ = °
2.Easy
230 V60 HzR = 30 ΩL = 250 mHI

A series RL circuit is connected to a 230 V (rms), 60 Hz supply. Find the rms current I.

V = 230 V (rms)f = 60 HzR = 30 ΩL = 250 mH
I = A
3.Medium
230 V60 HzR = 30 ΩC = 22 µFI

A resistor and a capacitor are connected in parallel across a 230 V (rms), 60 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 230 V (rms)f = 60 HzR = 30 ΩC = 22 µF
φ = °
4.Medium
100 V60 HzR = 80 ΩL = 50 mHI

A resistor and an inductor are connected in parallel across a 100 V (rms), 60 Hz supply. Find the rms current I.

V = 100 V (rms)f = 60 HzR = 80 ΩL = 50 mH
I = A
5.Hard
24 V60 HzR = 50 ΩL = 150 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 24 V (rms), 60 Hz supply. Find the rms voltage VC across the capacitor.

V = 24 V (rms)f = 60 HzR = 50 ΩL = 150 mHC = 22 µF
VC = V
6.Hard
50 V100 HzR = 25 ΩL = 100 mHC = 47 µF

A series RLC circuit is connected to a 50 V (rms), 100 Hz supply. Find the resonant frequency f0 of the circuit.

V = 50 V (rms)f = 100 HzR = 25 ΩL = 100 mHC = 47 µF
f0 = Hz

Answer key

  1. 1. φ = −81.42 °
  2. 2. I = 2.325 A
  3. 3. φ = −13.97 °
  4. 4. I = 5.45 A
  5. 5. VC = 35.62 V
  6. 6. f0 = 73.41 Hz

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