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
50 V60 HzR = 25 ΩL = 50 mH

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 60 HzR = 25 ΩL = 50 mH
|Z| = Ω
3.Medium
120 V500 HzR = 15 ΩL = 20 mHC = 4.7 µFI

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the rms current I.

V = 120 V (rms)f = 500 HzR = 15 ΩL = 20 mHC = 4.7 µF
I = A
4.Medium
10 V60 HzR = 40 ΩL = 250 mHC = 10 µFI

A series RLC circuit is connected to a 10 V (rms), 60 Hz supply. Find the rms current I.

V = 10 V (rms)f = 60 HzR = 40 ΩL = 250 mHC = 10 µF
I = A
5.Hard
230 V50 HzR = 10 ΩL = 250 mHC = 22 µF+−VC​

A series RLC circuit is connected to a 230 V (rms), 50 Hz supply. Find the rms voltage VC across the capacitor.

V = 230 V (rms)f = 50 HzR = 10 ΩL = 250 mHC = 22 µF
VC = V
6.Hard
12 V50 HzR1​ = 10 ΩR2​ = 150 ΩC = 10 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 12 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 12 V (rms)f = 50 HzR1 = 10 ΩR2 = 150 ΩC = 10 µF
|Z| = Ω

Answer key

  1. 1. XL = 5.529 Ω
  2. 2. |Z| = 31.31 Ω
  3. 3. I = 7.605 A
  4. 4. I = 0.05694 A
  5. 5. VC = 497.4 V
  6. 6. |Z| = 144.8 Ω

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