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
120 V100 HzR = 60 ΩL = 20 mH

A series RL circuit is connected to a 120 V (rms), 100 Hz supply. Find the rms voltage VL across the inductor.

V = 120 V (rms)f = 100 HzR = 60 ΩL = 20 mH
VL = V
2.Easy
12 V60 HzR = 50 ΩL = 150 mH

A series RL circuit is connected to a 12 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 60 HzR = 50 ΩL = 150 mH
|Z| = Ω
3.Medium
10 V200 HzR = 100 ΩL = 20 mHC = 47 µFI

A series RLC circuit is connected to a 10 V (rms), 200 Hz supply. Find the rms current I.

V = 10 V (rms)f = 200 HzR = 100 ΩL = 20 mHC = 47 µF
I = A
4.Medium
50 V500 HzR = 40 ΩL = 50 mHC = 1 µFI

A series RLC circuit is connected to a 50 V (rms), 500 Hz supply. Find the rms current I.

V = 50 V (rms)f = 500 HzR = 40 ΩL = 50 mHC = 1 µF
I = A
5.Hard
50 V100 HzR = 10 ΩL = 200 mHC = 100 µFI

A series RLC circuit is connected to a 50 V (rms), 100 Hz supply. Find the rms current I.

V = 50 V (rms)f = 100 HzR = 10 ΩL = 200 mHC = 100 µF
I = A
6.Hard
VfR = 10 ΩL = 1 mHC = 0.22 µF

A series RLC circuit has R = 10 Ω, L = 1 mH and C = 0.22 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 10 ΩL = 1 mHC = 0.22 µF
B = Hz

Answer key

  1. 1. VL = 24.6 V
  2. 2. |Z| = 75.48 Ω
  3. 3. I = 0.09967 A
  4. 4. I = 0.301 A
  5. 5. I = 0.4537 A
  6. 6. B = 1592 Hz

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