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 = 10 mH

Find the reactance XL of a 10 mH inductor at 50 Hz.

L = 10 mHf = 50 Hz
XL = Ω
2.Easy
50 V50 HzR = 50 ΩL = 100 mH

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

V = 50 V (rms)f = 50 HzR = 50 ΩL = 100 mH
|Z| = Ω
3.Medium
230 V500 HzR = 40 ΩC = 4.7 µFI

A resistor and a capacitor are connected in parallel across a 230 V (rms), 500 Hz supply. Find the rms current I.

V = 230 V (rms)f = 500 HzR = 40 ΩC = 4.7 µF
I = A
4.Medium
100 V200 HzR = 30 ΩL = 100 mHC = 22 µFI

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the rms current I.

V = 100 V (rms)f = 200 HzR = 30 ΩL = 100 mHC = 22 µF
I = A
5.Hard
24 V50 HzR = 50 ΩL = 200 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 24 V (rms), 50 Hz supply. Find the rms voltage VC across the capacitor.

V = 24 V (rms)f = 50 HzR = 50 ΩL = 200 mHC = 22 µF
VC = V
6.Hard
10 V200 HzR = 50 ΩL = 200 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 10 V (rms), 200 Hz supply. Find the rms voltage VC across the capacitor.

V = 10 V (rms)f = 200 HzR = 50 ΩL = 200 mHC = 22 µF
VC = V

Answer key

  1. 1. XL = 3.142 Ω
  2. 2. |Z| = 59.05 Ω
  3. 3. I = 6.678 A
  4. 4. I = 1.059 A
  5. 5. VC = 36.2 V
  6. 6. VC = 1.638 V

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