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
V60 HzL = 200 mH

Find the reactance XL of a 200 mH inductor at 60 Hz.

L = 200 mHf = 60 Hz
XL = Ω
2.Easy
230 V100 HzR = 50 ΩL = 150 mH

A series RL circuit is connected to a 230 V (rms), 100 Hz supply. Find the rms voltage VL across the inductor.

V = 230 V (rms)f = 100 HzR = 50 ΩL = 150 mH
VL = V
3.Medium
120 V50 HzR = 60 ΩL = 200 mHC = 10 µFI

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

V = 120 V (rms)f = 50 HzR = 60 ΩL = 200 mHC = 10 µF
I = A
4.Medium
120 V500 HzR = 50 ΩL = 150 mHC = 47 µFI

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the real power P taken from the supply.

V = 120 V (rms)f = 500 HzR = 50 ΩL = 150 mHC = 47 µF
P = W
5.Hard
50 V500 HzR = 100 ΩL = 20 mHC = 2.2 µF+−VC​

A series RLC circuit is connected to a 50 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 50 V (rms)f = 500 HzR = 100 ΩL = 20 mHC = 2.2 µF
VC = V
6.Hard
VfR = 100 ΩL = 50 mHC = 0.047 µF

A series RLC circuit has R = 100 Ω, L = 50 mH and C = 0.047 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 100 ΩL = 50 mHC = 0.047 µF
B = Hz

Answer key

  1. 1. XL = 75.4 Ω
  2. 2. VL = 203.2 V
  3. 3. I = 0.4573 A
  4. 4. P = 3.299 W
  5. 5. VC = 55.98 V
  6. 6. B = 318.3 Hz

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