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 = 25 ΩL = 20 mH

A series RL 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 = 25 ΩL = 20 mH
|Z| = Ω
2.Easy
V500 HzL = 100 mH

Find the reactance XL of a 100 mH inductor at 500 Hz.

L = 100 mHf = 500 Hz
XL = Ω
3.Medium
50 V200 HzR = 60 ΩL = 50 mHC = 1 µF

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 50 V (rms)f = 200 HzR = 60 ΩL = 50 mHC = 1 µF
φ = °
4.Medium
24 V200 HzR = 100 ΩL = 50 mHC = 47 µF

A series RLC circuit is connected to a 24 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 24 V (rms)f = 200 HzR = 100 ΩL = 50 mHC = 47 µF
φ = °
5.Hard
50 V500 HzR = 30 ΩL = 150 mHC = 4.7 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 = 30 ΩL = 150 mHC = 4.7 µF
I = A
6.Hard
VfR = 5 ΩL = 2 mHC = 0.1 µF

A series RLC circuit has R = 5 Ω, L = 2 mH and C = 0.1 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 5 ΩL = 2 mHC = 0.1 µF
B = Hz

Answer key

  1. 1. |Z| = 25.78 Ω
  2. 2. XL = 314.2 Ω
  3. 3. φ = −85.32 °
  4. 4. φ = 24.66 °
  5. 5. I = 0.1236 A
  6. 6. B = 397.9 Hz

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