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
230 V50 HzR = 15 ΩL = 200 mHI

A series RL circuit is connected to a 230 V (rms), 50 Hz supply. Find the rms current I.

V = 230 V (rms)f = 50 HzR = 15 ΩL = 200 mH
I = A
3.Medium
100 V50 HzR = 60 ΩL = 250 mHC = 100 µFI

A series RLC circuit is connected to a 100 V (rms), 50 Hz supply. Find the rms current I.

V = 100 V (rms)f = 50 HzR = 60 ΩL = 250 mHC = 100 µF
I = A
4.Medium
120 V100 HzR = 20 ΩL = 20 mHC = 100 µFI

A series RLC circuit is connected to a 120 V (rms), 100 Hz supply. Find the rms current I.

V = 120 V (rms)f = 100 HzR = 20 ΩL = 20 mHC = 100 µF
I = A
5.Hard
100 V100 HzR = 15 ΩL = 150 mHC = 22 µF

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

V = 100 V (rms)f = 100 HzR = 15 ΩL = 150 mHC = 22 µF
f0 = Hz
6.Hard
VfR = 5 ΩL = 10 mHC = 0.22 µF

A series RLC circuit has R = 5 Ω, L = 10 mH and C = 0.22 µF. Find its quality factor Q at resonance.

R = 5 ΩL = 10 mHC = 0.22 µF
Q =

Answer key

  1. 1. XL = 1257 Ω
  2. 2. I = 3.561 A
  3. 3. I = 1.315 A
  4. 4. I = 5.918 A
  5. 5. f0 = 87.61 Hz
  6. 6. Q = 42.64

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