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 V50 HzR = 150 ΩC = 2.2 µF

A series RC circuit is connected to a 230 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 230 V (rms)f = 50 HzR = 150 ΩC = 2.2 µF
|Z| = Ω
2.Easy
100 V50 HzR = 10 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 = 10 ΩL = 20 mH
|Z| = Ω
3.Medium
12 V500 HzR = 50 ΩC = 10 µFI

A resistor and a capacitor are connected in parallel across a 12 V (rms), 500 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 500 HzR = 50 ΩC = 10 µF
|Z| = Ω
4.Medium
Vf0​ = 500 HzRL = ?C = 2.2 µF

A series RLC circuit with C = 2.2 µF must resonate at 500 Hz. Find the inductance L needed.

f0 = 500 HzC = 2.2 µF
L = mH
5.Hard
24 V500 HzR1​ = 25 ΩR2​ = 50 ΩC = 22 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 24 V (rms), 500 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 500 HzR1 = 25 ΩR2 = 50 ΩC = 22 µF
|Z| = Ω
6.Hard
VfR = 15 ΩL = 10 mHC = 0.1 µF

A series RLC circuit has R = 15 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 = 15 ΩL = 10 mHC = 0.1 µF
B = Hz

Answer key

  1. 1. |Z| = 1455 Ω
  2. 2. |Z| = 11.81 Ω
  3. 3. |Z| = 26.85 Ω
  4. 4. L = 46.06 mH
  5. 5. |Z| = 31.8 Ω
  6. 6. B = 238.7 Hz

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