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 V60 HzR = 25 ΩL = 20 mHI

A series RL circuit is connected to a 100 V (rms), 60 Hz supply. Find the rms current I.

V = 100 V (rms)f = 60 HzR = 25 ΩL = 20 mH
I = A
2.Easy
10 V1000 HzR = 20 ΩC = 100 µFI

A series RC circuit is connected to a 10 V (rms), 1000 Hz supply. Find the rms current I.

V = 10 V (rms)f = 1000 HzR = 20 ΩC = 100 µF
I = A
3.Medium
12 V200 HzR = 60 ΩL = 100 mHC = 100 µFI

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the real power P taken from the supply.

V = 12 V (rms)f = 200 HzR = 60 ΩL = 100 mHC = 100 µF
P = W
4.Medium
230 V500 HzR = 80 ΩL = 100 mHC = 10 µFI

A series RLC circuit is connected to a 230 V (rms), 500 Hz supply. Find the rms current I.

V = 230 V (rms)f = 500 HzR = 80 ΩL = 100 mHC = 10 µF
I = A
5.Hard
VfR = 5 ΩL = 2 mHC = 1 µF

A series RLC circuit has R = 5 Ω, L = 2 mH and C = 1 µF. Find its quality factor Q at resonance.

R = 5 ΩL = 2 mHC = 1 µF
Q =
6.Hard
24 Vf0​R = 15 ΩL = 20 mHC = 10 µF

A series RLC circuit is driven by a 24 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 24 V (rms)R = 15 ΩL = 20 mHC = 10 µF
VL = V

Answer key

  1. 1. I = 3.83 A
  2. 2. I = 0.4984 A
  3. 3. P = 0.495 W
  4. 4. I = 0.7838 A
  5. 5. Q = 8.944
  6. 6. VL = 71.55 V

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