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
V2000 HzL = 100 mH

Find the reactance XL of a 100 mH inductor at 2000 Hz.

L = 100 mHf = 2000 Hz
XL = Ω
2.Easy
120 V50 HzR = 25 ΩL = 50 mHI

A series RL circuit is connected to a 120 V (rms), 50 Hz supply. Find the rms current I.

V = 120 V (rms)f = 50 HzR = 25 ΩL = 50 mH
I = A
3.Medium
24 V200 HzR = 10 ΩL = 20 mHC = 10 µFI

A series RLC circuit is connected to a 24 V (rms), 200 Hz supply. Find the real power P taken from the supply.

V = 24 V (rms)f = 200 HzR = 10 ΩL = 20 mHC = 10 µF
P = W
4.Medium
230 V100 HzR = 60 ΩL = 100 mHC = 47 µF

A series RLC circuit is connected to a 230 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 230 V (rms)f = 100 HzR = 60 ΩL = 100 mHC = 47 µF
φ = °
5.Hard
12 Vf0​R = 15 ΩL = 50 mHC = 1 µF

A series RLC circuit is driven by a 12 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 12 V (rms)R = 15 ΩL = 50 mHC = 1 µF
VL = V
6.Hard
24 V200 HzR = 100 ΩL = 150 mHC = 47 µF+−VC​

A series RLC circuit is connected to a 24 V (rms), 200 Hz supply. Find the rms voltage VC across the capacitor.

V = 24 V (rms)f = 200 HzR = 100 ΩL = 150 mHC = 47 µF
VC = V

Answer key

  1. 1. XL = 1257 Ω
  2. 2. I = 4.064 A
  3. 3. P = 1.88 W
  4. 4. φ = 25.77 °
  5. 5. VL = 178.9 V
  6. 6. VC = 2.046 V

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