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 = 10 ΩL = 50 mH

A series RL circuit is connected to a 100 V (rms), 60 Hz supply. Find the rms voltage VL across the inductor.

V = 100 V (rms)f = 60 HzR = 10 ΩL = 50 mH
VL = V
2.Easy
120 V200 HzR = 60 ΩL = 20 mH

A series RL circuit is connected to a 120 V (rms), 200 Hz supply. Find the rms voltage VL across the inductor.

V = 120 V (rms)f = 200 HzR = 60 ΩL = 20 mH
VL = V
3.Medium
24 V50 HzR = 25 ΩL = 200 mHC = 47 µFI

A series RLC circuit is connected to a 24 V (rms), 50 Hz supply. Find the rms current I.

V = 24 V (rms)f = 50 HzR = 25 ΩL = 200 mHC = 47 µF
I = A
4.Medium
230 V60 HzR = 10 ΩL = 250 mHC = 10 µF

A series RLC circuit is connected to a 230 V (rms), 60 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 230 V (rms)f = 60 HzR = 10 ΩL = 250 mHC = 10 µF
φ = °
5.Hard
VfR = 20 ΩL = 2 mHC = 0.47 µF

A series RLC circuit has R = 20 Ω, L = 2 mH and C = 0.47 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 20 ΩL = 2 mHC = 0.47 µF
B = Hz
6.Hard
50 V200 HzR = 20 ΩL = 100 mHC = 10 µF

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 50 V (rms)f = 200 HzR = 20 ΩL = 100 mHC = 10 µF
f0 = Hz

Answer key

  1. 1. VL = 88.34 V
  2. 2. VL = 46.36 V
  3. 3. I = 0.9421 A
  4. 4. φ = −86.65 °
  5. 5. B = 1592 Hz
  6. 6. f0 = 159.2 Hz

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