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
24 V50 HzR = 100 ΩL = 100 mH

A series RL circuit is connected to a 24 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 50 HzR = 100 ΩL = 100 mH
|Z| = Ω
2.Easy
12 V60 HzR = 10 ΩL = 50 mHI

A series RL circuit is connected to a 12 V (rms), 60 Hz supply. Find the rms current I.

V = 12 V (rms)f = 60 HzR = 10 ΩL = 50 mH
I = A
3.Medium
120 V60 HzR = 80 ΩL = 20 mHC = 2.2 µF

A series RLC circuit is connected to a 120 V (rms), 60 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 120 V (rms)f = 60 HzR = 80 ΩL = 20 mHC = 2.2 µF
φ = °
4.Medium
12 V200 HzR = 50 ΩL = 20 mHC = 100 µFI

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the power factor cos φ of the circuit.

V = 12 V (rms)f = 200 HzR = 50 ΩL = 20 mHC = 100 µF
cos φ =
5.Hard
24 V500 HzR = 20 ΩL = 100 mHC = 47 µF+−VC​

A series RLC circuit is connected to a 24 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 24 V (rms)f = 500 HzR = 20 ΩL = 100 mHC = 47 µF
VC = V
6.Hard
12 V50 HzR = 60 ΩL = 20 mHC = 47 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 50 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 50 HzR = 60 ΩL = 20 mHC = 47 µF
VC = V

Answer key

  1. 1. |Z| = 104.8 Ω
  2. 2. I = 0.5624 A
  3. 3. φ = −86.18 °
  4. 4. cos φ = 0.9458
  5. 5. VC = 0.5277 V
  6. 6. VC = 9.463 V

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