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
V1000 HzL = 50 mH

Find the reactance XL of a 50 mH inductor at 1000 Hz.

L = 50 mHf = 1000 Hz
XL = Ω
2.Easy
50 V60 HzR = 25 ΩL = 250 mHI

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the rms current I.

V = 50 V (rms)f = 60 HzR = 25 ΩL = 250 mH
I = A
3.Medium
120 V100 HzR = 40 ΩL = 150 mHC = 22 µF

A series RLC circuit is connected to a 120 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 120 V (rms)f = 100 HzR = 40 ΩL = 150 mHC = 22 µF
φ = °
4.Medium
100 V1000 HzR = 50 ΩL = 20 mHC = 10 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 = 50 ΩL = 20 mHC = 10 µF
I = A
5.Hard
120 V500 HzR = 100 ΩL = 250 mHC = 10 µFI

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the rms current I.

V = 120 V (rms)f = 500 HzR = 100 ΩL = 250 mHC = 10 µF
I = A
6.Hard
100 V500 HzR = 30 ΩL = 150 mHC = 1 µF

A series RLC circuit is connected to a 100 V (rms), 500 Hz supply. Find the resonant frequency f0 of the circuit.

V = 100 V (rms)f = 500 HzR = 30 ΩL = 150 mHC = 1 µF
f0 = Hz

Answer key

  1. 1. XL = 314.2 Ω
  2. 2. I = 0.5128 A
  3. 3. φ = 28.71 °
  4. 4. I = 0.8292 A
  5. 5. I = 0.1579 A
  6. 6. f0 = 410.9 Hz

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