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
10 V60 HzR = 100 ΩL = 150 mH

A series RL circuit is connected to a 10 V (rms), 60 Hz supply. Find the rms voltage VR across the resistor.

V = 10 V (rms)f = 60 HzR = 100 ΩL = 150 mH
VR = V
2.Easy
V2000 HzL = 1 mH

Find the reactance XL of a 1 mH inductor at 2000 Hz.

L = 1 mHf = 2000 Hz
XL = Ω
3.Medium
10 V500 HzR = 40 ΩL = 200 mHC = 1 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 = 40 ΩL = 200 mHC = 1 µF
I = A
4.Medium
100 V50 HzR = 20 ΩL = 20 mHC = 22 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 = 20 mHC = 22 µF
I = A
5.Hard
120 V50 HzR = 50 ΩL = 20 mHC = 100 µF

A series RLC circuit is connected to a 120 V (rms), 50 Hz supply. Find the resonant frequency f0 of the circuit.

V = 120 V (rms)f = 50 HzR = 50 ΩL = 20 mHC = 100 µF
f0 = Hz
6.Hard
100 V200 HzR1​ = 25 ΩR2​ = 60 ΩC = 47 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 100 V (rms), 200 Hz supply. Find the rms current I.

V = 100 V (rms)f = 200 HzR1 = 25 ΩR2 = 60 ΩC = 47 µF
I = A

Answer key

  1. 1. VR = 8.705 V
  2. 2. XL = 12.57 Ω
  3. 3. I = 0.03199 A
  4. 4. I = 0.7151 A
  5. 5. f0 = 112.5 Hz
  6. 6. I = 2.999 A

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