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
V100 HzL = 50 mH

Find the reactance XL of a 50 mH inductor at 100 Hz.

L = 50 mHf = 100 Hz
XL = Ω
2.Easy
100 V200 HzR = 40 ΩL = 100 mH

A series RL circuit is connected to a 100 V (rms), 200 Hz supply. Find the rms voltage VR across the resistor.

V = 100 V (rms)f = 200 HzR = 40 ΩL = 100 mH
VR = V
3.Medium
24 V100 HzR = 40 ΩL = 150 mHC = 22 µFI

A series RLC circuit is connected to a 24 V (rms), 100 Hz supply. Find the rms current I.

V = 24 V (rms)f = 100 HzR = 40 ΩL = 150 mHC = 22 µF
I = A
4.Medium
10 V500 HzR = 40 ΩL = 50 mHC = 100 µF

A series RLC circuit is connected to a 10 V (rms), 500 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 10 V (rms)f = 500 HzR = 40 ΩL = 50 mHC = 100 µF
φ = °
5.Hard
120 V1000 HzR = 50 ΩL = 150 mHC = 10 µF

A series RLC circuit is connected to a 120 V (rms), 1000 Hz supply. Find the resonant frequency f0 of the circuit.

V = 120 V (rms)f = 1000 HzR = 50 ΩL = 150 mHC = 10 µF
f0 = Hz
6.Hard
10 V50 HzR = 60 ΩL = 50 mHC = 100 µFI

A series RLC circuit is connected to a 10 V (rms), 50 Hz supply. Find the rms current I.

V = 10 V (rms)f = 50 HzR = 60 ΩL = 50 mHC = 100 µF
I = A

Answer key

  1. 1. XL = 31.42 Ω
  2. 2. VR = 30.33 V
  3. 3. I = 0.5263 A
  4. 4. φ = 75.43 °
  5. 5. f0 = 129.9 Hz
  6. 6. I = 0.161 A

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