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
230 V60 HzR = 30 ΩL = 250 mH

A series RL circuit is connected to a 230 V (rms), 60 Hz supply. Find the rms voltage VR across the resistor.

V = 230 V (rms)f = 60 HzR = 30 ΩL = 250 mH
VR = V
2.Easy
50 V100 HzR = 25 ΩL = 150 mH

A series RL circuit is connected to a 50 V (rms), 100 Hz supply. Find the rms voltage VR across the resistor.

V = 50 V (rms)f = 100 HzR = 25 ΩL = 150 mH
VR = V
3.Medium
12 V200 HzR = 15 ΩL = 50 mHC = 10 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 = 50 mHC = 10 µF
I = A
4.Medium
50 V100 HzR = 30 ΩL = 20 mHC = 4.7 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 = 30 ΩL = 20 mHC = 4.7 µF
I = A
5.Hard
VfR = 15 ΩL = 1 mHC = 0.47 µF

A series RLC circuit has R = 15 Ω, L = 1 mH and C = 0.47 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 15 ΩL = 1 mHC = 0.47 µF
B = Hz
6.Hard
230 V200 HzR = 80 ΩL = 50 mHC = 22 µF

A series RLC circuit is connected to a 230 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 230 V (rms)f = 200 HzR = 80 ΩL = 50 mHC = 22 µF
f0 = Hz

Answer key

  1. 1. VR = 69.76 V
  2. 2. VR = 12.82 V
  3. 3. I = 0.5338 A
  4. 4. I = 0.1527 A
  5. 5. B = 2387 Hz
  6. 6. f0 = 151.7 Hz

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