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
120 V60 HzR = 10 ΩL = 150 mHI

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

V = 120 V (rms)f = 60 HzR = 10 ΩL = 150 mH
I = A
2.Easy
50 V60 HzR = 15 ΩL = 250 mHI

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the rms current I.

V = 50 V (rms)f = 60 HzR = 15 ΩL = 250 mH
I = A
3.Medium
12 V500 HzR = 80 ΩC = 2.2 µFI

A resistor and a capacitor are connected in parallel across a 12 V (rms), 500 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 500 HzR = 80 ΩC = 2.2 µF
|Z| = Ω
4.Medium
Vf0​ = 5000 HzRL = ?C = 0.47 µF

A series RLC circuit with C = 0.47 µF must resonate at 5000 Hz. Find the inductance L needed.

f0 = 5000 HzC = 0.47 µF
L = mH
5.Hard
100 V200 HzR = 15 ΩL = 20 mHC = 22 µFI

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the rms current I.

V = 100 V (rms)f = 200 HzR = 15 ΩL = 20 mHC = 22 µF
I = A
6.Hard
120 V500 HzR = 30 ΩL = 100 mHC = 2.2 µF+−VC​

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 120 V (rms)f = 500 HzR = 30 ΩL = 100 mHC = 2.2 µF
VC = V

Answer key

  1. 1. I = 2.09 A
  2. 2. I = 0.5239 A
  3. 3. |Z| = 70.01 Ω
  4. 4. L = 2.156 mH
  5. 5. I = 5.369 A
  6. 6. VC = 100.9 V

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