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
24 V100 HzR = 40 ΩL = 20 mH

A series RL circuit is connected to a 24 V (rms), 100 Hz supply. Find the rms voltage VR across the resistor.

V = 24 V (rms)f = 100 HzR = 40 ΩL = 20 mH
VR = V
2.Easy
V500 HzC = 22 µF

Find the reactance XC of a 22 µF capacitor at 500 Hz.

C = 22 µFf = 500 Hz
XC = Ω
3.Medium
24 V60 HzR = 50 ΩL = 50 mHC = 22 µFI

A series RLC circuit is connected to a 24 V (rms), 60 Hz supply. Find the rms current I.

V = 24 V (rms)f = 60 HzR = 50 ΩL = 50 mHC = 22 µF
I = A
4.Medium
24 V50 HzR = 40 ΩL = 100 mHC = 47 µFI

A series RLC circuit is connected to a 24 V (rms), 50 Hz supply. Find the real power P taken from the supply.

V = 24 V (rms)f = 50 HzR = 40 ΩL = 100 mHC = 47 µF
P = W
5.Hard
24 V100 HzR1​ = 10 ΩR2​ = 40 ΩC = 100 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 24 V (rms), 100 Hz supply. Find the rms current I.

V = 24 V (rms)f = 100 HzR1 = 10 ΩR2 = 40 ΩC = 100 µF
I = A
6.Hard
230 V200 HzR = 80 ΩL = 200 mHC = 10 µF

A series RLC circuit is connected to a 230 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 230 V (rms)f = 200 HzR = 80 ΩL = 200 mHC = 10 µF
f0 = Hz

Answer key

  1. 1. VR = 22.9 V
  2. 2. XC = 14.47 Ω
  3. 3. I = 0.2117 A
  4. 4. P = 7.895 W
  5. 5. I = 1.16 A
  6. 6. f0 = 112.5 Hz

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