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
24 V60 HzR = 50 ΩL = 200 mH

A series RL circuit is connected to a 24 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 60 HzR = 50 ΩL = 200 mH
|Z| = Ω
2.Easy
100 V200 HzR = 60 ΩL = 150 mH

A series RL circuit is connected to a 100 V (rms), 200 Hz supply. Find the rms voltage VR across the resistor.

V = 100 V (rms)f = 200 HzR = 60 ΩL = 150 mH
VR = V
3.Medium
12 V60 HzR = 100 ΩL = 200 mHC = 100 µFI

A series RLC circuit is connected to a 12 V (rms), 60 Hz supply. Find the rms current I.

V = 12 V (rms)f = 60 HzR = 100 ΩL = 200 mHC = 100 µF
I = A
4.Medium
10 V200 HzR = 30 ΩL = 200 mHC = 10 µF

A series RLC circuit is connected to a 10 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 10 V (rms)f = 200 HzR = 30 ΩL = 200 mHC = 10 µF
φ = °
5.Hard
VfR = 10 ΩL = 10 mHC = 0.1 µF

A series RLC circuit has R = 10 Ω, L = 10 mH and C = 0.1 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 10 ΩL = 10 mHC = 0.1 µF
B = Hz
6.Hard
120 V500 HzR1​ = 40 ΩR2​ = 80 ΩC = 2.2 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 120 V (rms), 500 Hz supply. Find the rms current I.

V = 120 V (rms)f = 500 HzR1 = 40 ΩR2 = 80 ΩC = 2.2 µF
I = A

Answer key

  1. 1. |Z| = 90.47 Ω
  2. 2. VR = 30.33 V
  3. 3. I = 0.1078 A
  4. 4. φ = 80.09 °
  5. 5. B = 159.2 Hz
  6. 6. I = 1.124 A

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