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
V2000 HzC = 0.22 µF

Find the reactance XC of a 0.22 µF capacitor at 2000 Hz.

C = 0.22 µFf = 2000 Hz
XC = Ω
2.Easy
Vf = ?L = 5 mH

At what frequency f does a 5 mH inductor have a reactance of 500 Ω?

L = 5 mHXL = 500 Ω
f = Hz
3.Medium
50 V60 HzR = 60 ΩL = 20 mHC = 4.7 µFI

A series RLC circuit is connected to a 50 V (rms), 60 Hz supply. Find the power factor cos φ of the circuit.

V = 50 V (rms)f = 60 HzR = 60 ΩL = 20 mHC = 4.7 µF
cos φ =
4.Medium
100 V200 HzR = 20 ΩL = 50 mHC = 22 µFI

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the real power P taken from the supply.

V = 100 V (rms)f = 200 HzR = 20 ΩL = 50 mHC = 22 µF
P = W
5.Hard
120 V200 HzR1​ = 15 ΩR2​ = 150 ΩC = 2.2 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 = 15 ΩR2 = 150 ΩC = 2.2 µF
I = A
6.Hard
230 V50 HzR = 20 ΩL = 200 mHC = 100 µF+−VC​

A series RLC circuit is connected to a 230 V (rms), 50 Hz supply. Find the rms voltage VC across the capacitor.

V = 230 V (rms)f = 50 HzR = 20 ΩL = 200 mHC = 100 µF
VC = V

Answer key

  1. 1. XC = 361.7 Ω
  2. 2. f = 15915 Hz
  3. 3. cos φ = 0.1071
  4. 4. P = 180.1 W
  5. 5. I = 0.7868 A
  6. 6. VC = 198.4 V

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