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
10 V60 HzR = 50 ΩL = 200 mH

A series RL circuit is connected to a 10 V (rms), 60 Hz supply. Find the rms voltage VR across the resistor.

V = 10 V (rms)f = 60 HzR = 50 ΩL = 200 mH
VR = V
2.Easy
24 V500 HzR = 30 ΩC = 22 µF

A series RC circuit is connected to a 24 V (rms), 500 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 500 HzR = 30 ΩC = 22 µF
|Z| = Ω
3.Medium
100 V200 HzR = 30 ΩL = 150 mHC = 100 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 = 30 ΩL = 150 mHC = 100 µF
I = A
4.Medium
24 V500 HzR = 60 ΩL = 150 mHC = 47 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 = 60 ΩL = 150 mHC = 47 µF
I = A
5.Hard
120 V200 HzR = 10 ΩL = 100 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 120 V (rms), 200 Hz supply. Find the rms voltage VC across the capacitor.

V = 120 V (rms)f = 200 HzR = 10 ΩL = 100 mHC = 22 µF
VC = V
6.Hard
24 V60 HzR1​ = 25 ΩR2​ = 150 ΩC = 22 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 24 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 60 HzR1 = 25 ΩR2 = 150 ΩC = 22 µF
|Z| = Ω

Answer key

  1. 1. VR = 5.527 V
  2. 2. |Z| = 33.31 Ω
  3. 3. I = 0.5464 A
  4. 4. I = 0.05125 A
  5. 5. VC = 48.2 V
  6. 6. |Z| = 111.4 Ω

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