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
V400 HzL = 2.2 mH

Find the reactance XL of a 2.2 mH inductor at 400 Hz.

L = 2.2 mHf = 400 Hz
XL = Ω
2.Easy
12 V50 HzR = 30 ΩL = 250 mHI

A series RL circuit is connected to a 12 V (rms), 50 Hz supply. Find the rms current I.

V = 12 V (rms)f = 50 HzR = 30 ΩL = 250 mH
I = A
3.Medium
50 V200 HzR = 40 ΩL = 50 mHI

A resistor and an inductor are connected in parallel across a 50 V (rms), 200 Hz supply. Find the rms current I.

V = 50 V (rms)f = 200 HzR = 40 ΩL = 50 mH
I = A
4.Medium
120 V50 HzR = 60 ΩC = 22 µFI

A resistor and a capacitor are connected in parallel across a 120 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 120 V (rms)f = 50 HzR = 60 ΩC = 22 µF
|Z| = Ω
5.Hard
230 V60 HzR = 25 ΩL = 50 mHC = 100 µF+−VC​

A series RLC circuit is connected to a 230 V (rms), 60 Hz supply. Find the rms voltage VC across the capacitor.

V = 230 V (rms)f = 60 HzR = 25 ΩL = 50 mHC = 100 µF
VC = V
6.Hard
1 Vf0​R = 50 ΩL = 50 mHC = 0.1 µF

A series RLC circuit is driven by a 1 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 1 V (rms)R = 50 ΩL = 50 mHC = 0.1 µF
VL = V

Answer key

  1. 1. XL = 5.529 Ω
  2. 2. I = 0.1427 A
  3. 3. I = 1.482 A
  4. 4. |Z| = 55.42 Ω
  5. 5. VC = 233.3 V
  6. 6. VL = 14.14 V

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