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
V50 HzL = 100 mH

Find the reactance XL of a 100 mH inductor at 50 Hz.

L = 100 mHf = 50 Hz
XL = Ω
2.Easy
230 V60 HzR = 80 ΩL = 200 mH

A series RL circuit is connected to a 230 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 230 V (rms)f = 60 HzR = 80 ΩL = 200 mH
|Z| = Ω
3.Medium
50 V500 HzR = 50 ΩL = 200 mHC = 10 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 = 50 ΩL = 200 mHC = 10 µF
I = A
4.Medium
50 V100 HzR = 30 ΩC = 22 µFI

A resistor and a capacitor are connected in parallel across a 50 V (rms), 100 Hz supply. Find the rms current I.

V = 50 V (rms)f = 100 HzR = 30 ΩC = 22 µF
I = A
5.Hard
VfR = 15 ΩL = 5 mHC = 0.1 µF

A series RLC circuit has R = 15 Ω, L = 5 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 = 5 mHC = 0.1 µF
B = Hz
6.Hard
12 V500 HzR = 20 ΩL = 50 mHC = 2.2 µF

A series RLC circuit is connected to a 12 V (rms), 500 Hz supply. Find the resonant frequency f0 of the circuit.

V = 12 V (rms)f = 500 HzR = 20 ΩL = 50 mHC = 2.2 µF
f0 = Hz

Answer key

  1. 1. XL = 31.42 Ω
  2. 2. |Z| = 109.9 Ω
  3. 3. I = 0.08353 A
  4. 4. I = 1.804 A
  5. 5. B = 477.5 Hz
  6. 6. f0 = 479.9 Hz

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