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
100 V60 HzR = 40 ΩL = 200 mHI

A series RL circuit is connected to a 100 V (rms), 60 Hz supply. Find the rms current I.

V = 100 V (rms)f = 60 HzR = 40 ΩL = 200 mH
I = A
2.Easy
V500 HzL = 20 mH

Find the reactance XL of a 20 mH inductor at 500 Hz.

L = 20 mHf = 500 Hz
XL = Ω
3.Medium
Vf0​ = 50 HzRL = 1 mHC = ?

A series RLC circuit with L = 1 mH must resonate at 50 Hz. Find the capacitance C needed.

f0 = 50 HzL = 1 mH
C = µF
4.Medium
50 V200 HzR = 100 ΩL = 20 mHC = 10 µFI

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the rms current I.

V = 50 V (rms)f = 200 HzR = 100 ΩL = 20 mHC = 10 µF
I = A
5.Hard
100 V50 HzR = 20 ΩL = 250 mHC = 47 µFI

A series RLC circuit is connected to a 100 V (rms), 50 Hz supply. Find the rms current I.

V = 100 V (rms)f = 50 HzR = 20 ΩL = 250 mHC = 47 µF
I = A
6.Hard
10 V1000 HzR = 30 ΩL = 50 mHC = 2.2 µF+−VC​

A series RLC circuit is connected to a 10 V (rms), 1000 Hz supply. Find the rms voltage VC across the capacitor.

V = 10 V (rms)f = 1000 HzR = 30 ΩL = 50 mHC = 2.2 µF
VC = V

Answer key

  1. 1. I = 1.172 A
  2. 2. XL = 62.83 Ω
  3. 3. C = 10132 µF
  4. 4. I = 0.4391 A
  5. 5. I = 4.398 A
  6. 6. VC = 2.969 V

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