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 V50 HzR = 50 ΩC = 10 µF

A series RC circuit is connected to a 100 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 50 HzR = 50 ΩC = 10 µF
|Z| = Ω
2.Easy
100 V60 HzR = 20 ΩL = 200 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 = 20 ΩL = 200 mH
|Z| = Ω
3.Medium
24 V200 HzR = 40 ΩL = 200 mHC = 10 µFI

A series RLC circuit is connected to a 24 V (rms), 200 Hz supply. Find the rms current I.

V = 24 V (rms)f = 200 HzR = 40 ΩL = 200 mHC = 10 µF
I = A
4.Medium
Vf0​ = 2000 HzRL = 5 mHC = ?

A series RLC circuit with L = 5 mH must resonate at 2000 Hz. Find the capacitance C needed.

f0 = 2000 HzL = 5 mH
C = µF
5.Hard
VfR = 15 ΩL = 20 mHC = 0.01 µF

A series RLC circuit has R = 15 Ω, L = 20 mH and C = 0.01 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 15 ΩL = 20 mHC = 0.01 µF
B = Hz
6.Hard
10 V1000 HzR = 80 ΩL = 150 mHC = 47 µF+−VC​

A series RLC circuit is connected to a 10 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 10 V (rms)f = 1000 HzR = 80 ΩL = 150 mHC = 47 µF
VC = V

Answer key

  1. 1. |Z| = 322.2 Ω
  2. 2. |Z| = 78.01 Ω
  3. 3. I = 0.1361 A
  4. 4. C = 1.267 µF
  5. 5. B = 119.4 Hz
  6. 6. VC = 0.03593 V

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