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
24 V50 HzR = 20 ΩL = 250 mH

A series RL circuit is connected to a 24 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 50 HzR = 20 ΩL = 250 mH
|Z| = Ω
2.Easy
24 V60 HzR = 100 ΩL = 200 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 = 100 ΩL = 200 mH
|Z| = Ω
3.Medium
100 V200 HzR = 15 ΩL = 250 mHC = 2.2 µFI

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the real power P taken from the supply.

V = 100 V (rms)f = 200 HzR = 15 ΩL = 250 mHC = 2.2 µF
P = W
4.Medium
100 V50 HzR = 60 ΩL = 20 mHC = 22 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 = 60 ΩL = 20 mHC = 22 µF
I = A
5.Hard
5 Vf0​R = 15 ΩL = 100 mHC = 0.22 µF

A series RLC circuit is driven by a 5 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 5 V (rms)R = 15 ΩL = 100 mHC = 0.22 µF
VL = V
6.Hard
VfR = 20 ΩL = 10 mHC = 0.022 µF

A series RLC circuit has R = 20 Ω, L = 10 mH and C = 0.022 µF. Find its quality factor Q at resonance.

R = 20 ΩL = 10 mHC = 0.022 µF
Q =

Answer key

  1. 1. |Z| = 81.05 Ω
  2. 2. |Z| = 125.2 Ω
  3. 3. P = 60.32 W
  4. 4. I = 0.6629 A
  5. 5. VL = 224.7 V
  6. 6. Q = 33.71

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