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
10 V200 HzR = 100 ΩL = 250 mH

A series RL circuit is connected to a 10 V (rms), 200 Hz supply. Find the rms voltage VL across the inductor.

V = 10 V (rms)f = 200 HzR = 100 ΩL = 250 mH
VL = V
2.Easy
V400 HzL = 500 mH

Find the reactance XL of a 500 mH inductor at 400 Hz.

L = 500 mHf = 400 Hz
XL = Ω
3.Medium
230 V100 HzR = 40 ΩL = 20 mHC = 4.7 µFI

A series RLC circuit is connected to a 230 V (rms), 100 Hz supply. Find the rms current I.

V = 230 V (rms)f = 100 HzR = 40 ΩL = 20 mHC = 4.7 µF
I = A
4.Medium
120 V60 HzR = 80 ΩL = 50 mHC = 47 µFI

A series RLC circuit is connected to a 120 V (rms), 60 Hz supply. Find the rms current I.

V = 120 V (rms)f = 60 HzR = 80 ΩL = 50 mHC = 47 µF
I = A
5.Hard
12 V1000 HzR = 100 ΩL = 20 mHC = 47 µF

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the resonant frequency f0 of the circuit.

V = 12 V (rms)f = 1000 HzR = 100 ΩL = 20 mHC = 47 µF
f0 = Hz
6.Hard
12 V100 HzR = 40 ΩL = 200 mHC = 4.7 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 = 40 ΩL = 200 mHC = 4.7 µF
VC = V

Answer key

  1. 1. VL = 9.529 V
  2. 2. XL = 1257 Ω
  3. 3. I = 0.7001 A
  4. 4. I = 1.358 A
  5. 5. f0 = 164.2 Hz
  6. 6. VC = 18.75 V

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