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
V200 HzL = 2.2 mH

Find the reactance XL of a 2.2 mH inductor at 200 Hz.

L = 2.2 mHf = 200 Hz
XL = Ω
2.Easy
100 V100 HzR = 80 ΩL = 250 mH

A series RL circuit is connected to a 100 V (rms), 100 Hz supply. Find the rms voltage VL across the inductor.

V = 100 V (rms)f = 100 HzR = 80 ΩL = 250 mH
VL = V
3.Medium
100 V500 HzR = 100 ΩL = 50 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 = 100 ΩL = 50 mHC = 22 µF
I = A
4.Medium
100 V50 HzR = 30 ΩL = 150 mHC = 100 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 = 30 ΩL = 150 mHC = 100 µF
I = A
5.Hard
10 V500 HzR = 60 ΩL = 50 mHC = 4.7 µFI

A series RLC circuit is connected to a 10 V (rms), 500 Hz supply. Find the rms current I.

V = 10 V (rms)f = 500 HzR = 60 ΩL = 50 mHC = 4.7 µF
I = A
6.Hard
120 V200 HzR1​ = 10 ΩR2​ = 30 ΩC = 100 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 120 V (rms), 200 Hz supply. Find the rms current I.

V = 120 V (rms)f = 200 HzR1 = 10 ΩR2 = 30 ΩC = 100 µF
I = A

Answer key

  1. 1. XL = 2.765 Ω
  2. 2. VL = 89.11 V
  3. 3. I = 0.5741 A
  4. 4. I = 2.97 A
  5. 5. I = 0.09291 A
  6. 6. I = 8.515 A

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