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
100 V100 HzR = 40 ΩL = 250 mH

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

V = 100 V (rms)f = 100 HzR = 40 ΩL = 250 mH
VR = V
2.Easy
50 V60 HzR = 50 ΩC = 22 µFI

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

V = 50 V (rms)f = 60 HzR = 50 ΩC = 22 µF
I = A
3.Medium
Vf0​ = 2000 HzRL = ?C = 0.1 µF

A series RLC circuit with C = 0.1 µF must resonate at 2000 Hz. Find the inductance L needed.

f0 = 2000 HzC = 0.1 µF
L = mH
4.Medium
Vf0​ = 50 HzRL = ?C = 0.47 µF

A series RLC circuit with C = 0.47 µF must resonate at 50 Hz. Find the inductance L needed.

f0 = 50 HzC = 0.47 µF
L = mH
5.Hard
24 V100 HzR1​ = 40 ΩR2​ = 60 ΩC = 22 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 24 V (rms), 100 Hz supply. Find the rms current I.

V = 24 V (rms)f = 100 HzR1 = 40 ΩR2 = 60 ΩC = 22 µF
I = A
6.Hard
100 V50 HzR = 25 ΩL = 200 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 = 25 ΩL = 200 mHC = 100 µF
I = A

Answer key

  1. 1. VR = 24.68 V
  2. 2. I = 0.3831 A
  3. 3. L = 63.33 mH
  4. 4. L = 21558 mH
  5. 5. I = 0.2959 A
  6. 6. I = 2.511 A

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