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 = 50 ΩL = 50 mH

A series RL circuit is connected to a 100 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 60 HzR = 50 ΩL = 50 mH
|Z| = Ω
2.Easy
50 V1000 HzR = 25 ΩC = 2.2 µF

A series RC circuit is connected to a 50 V (rms), 1000 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 1000 HzR = 25 ΩC = 2.2 µF
|Z| = Ω
3.Medium
10 V500 HzR = 50 ΩL = 50 mHC = 22 µFI

A series RLC circuit is connected to a 10 V (rms), 500 Hz supply. Find the rms current I.

V = 10 V (rms)f = 500 HzR = 50 ΩL = 50 mHC = 22 µF
I = A
4.Medium
Vf0​ = 1000 HzRL = ?C = 10 µF

A series RLC circuit with C = 10 µF must resonate at 1000 Hz. Find the inductance L needed.

f0 = 1000 HzC = 10 µF
L = mH
5.Hard
VfR = 5 ΩL = 5 mHC = 0.047 µF

A series RLC circuit has R = 5 Ω, L = 5 mH and C = 0.047 µF. Find its quality factor Q at resonance.

R = 5 ΩL = 5 mHC = 0.047 µF
Q =
6.Hard
50 V200 HzR = 60 ΩL = 50 mHC = 22 µFI

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the rms current I.

V = 50 V (rms)f = 200 HzR = 60 ΩL = 50 mHC = 22 µF
I = A

Answer key

  1. 1. |Z| = 53.44 Ω
  2. 2. |Z| = 76.54 Ω
  3. 3. I = 0.06617 A
  4. 4. L = 2.533 mH
  5. 5. Q = 65.23
  6. 6. I = 0.7615 A

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