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 = 100 mH

Find the reactance XL of a 100 mH inductor at 1000 Hz.

L = 100 mHf = 1000 Hz
XL = Ω
2.Easy
230 V60 HzR = 20 ΩL = 100 mH

A series RL circuit is connected to a 230 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 230 V (rms)f = 60 HzR = 20 ΩL = 100 mH
|Z| = Ω
3.Medium
Vf0​ = 100 HzRL = 5 mHC = ?

A series RLC circuit with L = 5 mH must resonate at 100 Hz. Find the capacitance C needed.

f0 = 100 HzL = 5 mH
C = µF
4.Medium
100 V500 HzR = 40 ΩL = 50 mHC = 4.7 µFI

A series RLC circuit is connected to a 100 V (rms), 500 Hz supply. Find the real power P taken from the supply.

V = 100 V (rms)f = 500 HzR = 40 ΩL = 50 mHC = 4.7 µF
P = W
5.Hard
12 V50 HzR = 50 ΩL = 50 mHC = 100 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 50 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 50 HzR = 50 ΩL = 50 mHC = 100 µF
VC = V
6.Hard
12 V60 HzR = 15 ΩL = 150 mHC = 10 µFI

A series RLC circuit is connected to a 12 V (rms), 60 Hz supply. Find the rms current I.

V = 12 V (rms)f = 60 HzR = 15 ΩL = 150 mHC = 10 µF
I = A

Answer key

  1. 1. XL = 628.3 Ω
  2. 2. |Z| = 42.68 Ω
  3. 3. C = 506.6 µF
  4. 4. P = 41.74 W
  5. 5. VC = 7.271 V
  6. 6. I = 0.05735 A

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