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 V60 HzR = 15 ΩL = 20 mHI

A series RL circuit is connected to a 120 V (rms), 60 Hz supply. Find the rms current I.

V = 120 V (rms)f = 60 HzR = 15 ΩL = 20 mH
I = A
2.Easy
24 V50 HzR = 30 ΩL = 20 mHI

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

V = 24 V (rms)f = 50 HzR = 30 ΩL = 20 mH
I = A
3.Medium
230 V60 HzR = 100 ΩL = 100 mHC = 4.7 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 = 100 ΩL = 100 mHC = 4.7 µF
φ = °
4.Medium
230 V500 HzR = 30 ΩL = 250 mHC = 1 µF

A series RLC circuit is connected to a 230 V (rms), 500 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 230 V (rms)f = 500 HzR = 30 ΩL = 250 mHC = 1 µF
φ = °
5.Hard
VfR = 15 ΩL = 20 mHC = 0.22 µF

A series RLC circuit has R = 15 Ω, L = 20 mH and C = 0.22 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 15 ΩL = 20 mHC = 0.22 µF
B = Hz
6.Hard
120 V200 HzR = 40 ΩL = 250 mHC = 10 µFI

A series RLC circuit is connected to a 120 V (rms), 200 Hz supply. Find the rms current I.

V = 120 V (rms)f = 200 HzR = 40 ΩL = 250 mHC = 10 µF
I = A

Answer key

  1. 1. I = 7.148 A
  2. 2. I = 0.783 A
  3. 3. φ = −79.25 °
  4. 4. φ = 86.33 °
  5. 5. B = 119.4 Hz
  6. 6. I = 0.5043 A

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