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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
50 V60 HzR = 10 ΩL = 50 mHI

A series RL circuit is connected to a 50 V (rms), 60 Hz supply. Find the rms current I.

V = 50 V (rms)f = 60 HzR = 10 ΩL = 50 mH
I = A
2.Easy
V50 HzL = 10 mH

Find the reactance XL of a 10 mH inductor at 50 Hz.

L = 10 mHf = 50 Hz
XL = Ω
3.Medium
12 V60 HzR = 25 ΩL = 200 mHC = 47 µFI

A series RLC circuit is connected to a 12 V (rms), 60 Hz supply. Find the real power P taken from the supply.

V = 12 V (rms)f = 60 HzR = 25 ΩL = 200 mHC = 47 µF
P = W
4.Medium
24 V60 HzR = 60 ΩL = 200 mHC = 4.7 µFI

A series RLC circuit is connected to a 24 V (rms), 60 Hz supply. Find the power factor cos φ of the circuit.

V = 24 V (rms)f = 60 HzR = 60 ΩL = 200 mHC = 4.7 µF
cos φ =
5.Hard
50 V50 HzR1​ = 10 ΩR2​ = 100 ΩC = 10 µF

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 50 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 50 HzR1 = 10 ΩR2 = 100 ΩC = 10 µF
|Z| = Ω
6.Hard
5 Vf0​R = 2 ΩL = 50 mHC = 10 µF

A series RLC circuit is driven by a 5 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 5 V (rms)R = 2 ΩL = 50 mHC = 10 µF
VL = V

Answer key

  1. 1. I = 2.343 A
  2. 2. XL = 3.142 Ω
  3. 3. P = 3.657 W
  4. 4. cos φ = 0.1218
  5. 5. |Z| = 105 Ω
  6. 6. VL = 176.8 V

Full step-by-step solutions: practise this topic on examproblems.com.