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 V60 HzR = 30 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 = 30 ΩL = 200 mH
|Z| = Ω
2.Easy
10 V50 HzR = 40 ΩL = 100 mH

A series RL circuit is connected to a 10 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 10 V (rms)f = 50 HzR = 40 ΩL = 100 mH
|Z| = Ω
3.Medium
12 V200 HzR = 15 ΩL = 200 mHC = 4.7 µFI

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms current I.

V = 12 V (rms)f = 200 HzR = 15 ΩL = 200 mHC = 4.7 µF
I = A
4.Medium
24 V100 HzR = 50 ΩL = 20 mHC = 47 µFI

A series RLC circuit is connected to a 24 V (rms), 100 Hz supply. Find the real power P taken from the supply.

V = 24 V (rms)f = 100 HzR = 50 ΩL = 20 mHC = 47 µF
P = W
5.Hard
VfR = 2 ΩL = 20 mHC = 10 µF

A series RLC circuit has R = 2 Ω, L = 20 mH and C = 10 µF. Find its quality factor Q at resonance.

R = 2 ΩL = 20 mHC = 10 µF
Q =
6.Hard
VfR = 10 ΩL = 1 mHC = 0.1 µF

A series RLC circuit has R = 10 Ω, L = 1 mH and C = 0.1 µF. Find its quality factor Q at resonance.

R = 10 ΩL = 1 mHC = 0.1 µF
Q =

Answer key

  1. 1. |Z| = 81.15 Ω
  2. 2. |Z| = 50.86 Ω
  3. 3. I = 0.1439 A
  4. 4. P = 9.751 W
  5. 5. Q = 22.36
  6. 6. Q = 10

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