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 = 100 ΩL = 250 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 = 100 ΩL = 250 mH
|Z| = Ω
2.Easy
50 V60 HzR = 100 ΩL = 150 mH

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the rms voltage VL across the inductor.

V = 50 V (rms)f = 60 HzR = 100 ΩL = 150 mH
VL = V
3.Medium
50 V60 HzR = 25 ΩL = 150 mHC = 10 µFI

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

V = 50 V (rms)f = 60 HzR = 25 ΩL = 150 mHC = 10 µF
I = A
4.Medium
230 V50 HzR = 20 ΩC = 100 µFI

A resistor and a capacitor are connected in parallel across a 230 V (rms), 50 Hz supply. Find the rms current I.

V = 230 V (rms)f = 50 HzR = 20 ΩC = 100 µF
I = A
5.Hard
230 V500 HzR1​ = 50 ΩR2​ = 150 ΩC = 2.2 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 230 V (rms), 500 Hz supply. Find the rms current I.

V = 230 V (rms)f = 500 HzR1 = 50 ΩR2 = 150 ΩC = 2.2 µF
I = A
6.Hard
10 Vf0​R = 10 ΩL = 20 mHC = 0.1 µF

A series RLC circuit is driven by a 10 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 10 V (rms)R = 10 ΩL = 20 mHC = 0.1 µF
VL = V

Answer key

  1. 1. |Z| = 137.4 Ω
  2. 2. VL = 24.61 V
  3. 3. I = 0.2379 A
  4. 4. I = 13.58 A
  5. 5. I = 1.603 A
  6. 6. VL = 447.2 V

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