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
50 V60 HzR = 15 ΩL = 20 mH

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 60 HzR = 15 ΩL = 20 mH
|Z| = Ω
2.Easy
24 V60 HzR = 50 ΩL = 250 mH

A series RL circuit is connected to a 24 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 60 HzR = 50 ΩL = 250 mH
|Z| = Ω
3.Medium
12 V1000 HzR = 100 ΩL = 20 mHC = 4.7 µFI

A series RLC circuit is connected to a 12 V (rms), 1000 Hz supply. Find the rms current I.

V = 12 V (rms)f = 1000 HzR = 100 ΩL = 20 mHC = 4.7 µF
I = A
4.Medium
12 V500 HzR = 25 ΩL = 100 mHC = 2.2 µFI

A series RLC circuit is connected to a 12 V (rms), 500 Hz supply. Find the real power P taken from the supply.

V = 12 V (rms)f = 500 HzR = 25 ΩL = 100 mHC = 2.2 µF
P = W
5.Hard
100 V1000 HzR = 25 ΩL = 20 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 100 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 100 V (rms)f = 1000 HzR = 25 ΩL = 20 mHC = 4.7 µF
VC = V
6.Hard
100 V500 HzR1​ = 15 ΩR2​ = 60 ΩC = 10 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 100 V (rms), 500 Hz supply. Find the rms current I.

V = 100 V (rms)f = 500 HzR1 = 15 ΩR2 = 60 ΩC = 10 µF
I = A

Answer key

  1. 1. |Z| = 16.79 Ω
  2. 2. |Z| = 106.7 Ω
  3. 3. I = 0.0884 A
  4. 4. P = 0.1227 W
  5. 5. VC = 35.59 V
  6. 6. I = 2.662 A

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