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
12 V60 HzR = 30 ΩL = 100 mHI

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

V = 12 V (rms)f = 60 HzR = 30 ΩL = 100 mH
I = A
2.Easy
230 V60 HzR = 50 ΩL = 200 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 = 50 ΩL = 200 mH
|Z| = Ω
3.Medium
Vf0​ = 50 HzRL = ?C = 47 µF

A series RLC circuit with C = 47 µF must resonate at 50 Hz. Find the inductance L needed.

f0 = 50 HzC = 47 µF
L = mH
4.Medium
120 V1000 HzR = 50 ΩL = 50 mHC = 1 µFI

A series RLC circuit is connected to a 120 V (rms), 1000 Hz supply. Find the rms current I.

V = 120 V (rms)f = 1000 HzR = 50 ΩL = 50 mHC = 1 µF
I = A
5.Hard
24 V500 HzR = 15 ΩL = 50 mHC = 4.7 µFI

A series RLC circuit is connected to a 24 V (rms), 500 Hz supply. Find the rms current I.

V = 24 V (rms)f = 500 HzR = 15 ΩL = 50 mHC = 4.7 µF
I = A
6.Hard
120 V1000 HzR = 40 ΩL = 100 mHC = 2.2 µF+−VC​

A series RLC circuit is connected to a 120 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 120 V (rms)f = 1000 HzR = 40 ΩL = 100 mHC = 2.2 µF
VC = V

Answer key

  1. 1. I = 0.2491 A
  2. 2. |Z| = 90.47 Ω
  3. 3. L = 215.6 mH
  4. 4. I = 0.7368 A
  5. 5. I = 0.2649 A
  6. 6. VC = 15.57 V

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