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
V100 HzL = 1 mH

Find the reactance XL of a 1 mH inductor at 100 Hz.

L = 1 mHf = 100 Hz
XL = Ω
2.Easy
230 V60 HzR = 10 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 = 10 ΩL = 200 mH
|Z| = Ω
3.Medium
Vf0​ = 5000 HzRL = 1 mHC = ?

A series RLC circuit with L = 1 mH must resonate at 5000 Hz. Find the capacitance C needed.

f0 = 5000 HzL = 1 mH
C = µF
4.Medium
50 V50 HzR = 20 ΩL = 50 mHC = 47 µFI

A series RLC circuit is connected to a 50 V (rms), 50 Hz supply. Find the real power P taken from the supply.

V = 50 V (rms)f = 50 HzR = 20 ΩL = 50 mHC = 47 µF
P = W
5.Hard
120 V500 HzR = 100 ΩL = 50 mHC = 100 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 = 100 ΩL = 50 mHC = 100 µF
I = A
6.Hard
100 V500 HzR = 60 ΩL = 20 mHC = 22 µFI

A series RLC circuit is connected to a 100 V (rms), 500 Hz supply. Find the rms current I.

V = 100 V (rms)f = 500 HzR = 60 ΩL = 20 mHC = 22 µF
I = A

Answer key

  1. 1. XL = 0.6283 Ω
  2. 2. |Z| = 76.06 Ω
  3. 3. C = 1.013 µF
  4. 4. P = 16.1 W
  5. 5. I = 0.6538 A
  6. 6. I = 1.298 A

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