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 V50 HzR = 150 ΩC = 22 µF

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

V = 50 V (rms)f = 50 HzR = 150 ΩC = 22 µF
|Z| = Ω
2.Easy
10 V50 HzR = 80 ΩL = 150 mH

A series RL circuit is connected to a 10 V (rms), 50 Hz supply. Find the rms voltage VR across the resistor.

V = 10 V (rms)f = 50 HzR = 80 ΩL = 150 mH
VR = V
3.Medium
120 V200 HzR = 50 ΩL = 50 mHC = 10 µF

A series RLC circuit is connected to a 120 V (rms), 200 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 120 V (rms)f = 200 HzR = 50 ΩL = 50 mHC = 10 µF
φ = °
4.Medium
50 V50 HzR = 40 ΩL = 20 mHC = 47 µFI

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

V = 50 V (rms)f = 50 HzR = 40 ΩL = 20 mHC = 47 µF
I = A
5.Hard
12 V200 HzR = 15 ΩL = 200 mHC = 2.2 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 200 HzR = 15 ΩL = 200 mHC = 2.2 µF
VC = V
6.Hard
100 V200 HzR = 50 ΩL = 150 mHC = 1 µF+−VC​

A series RLC circuit is connected to a 100 V (rms), 200 Hz supply. Find the rms voltage VC across the capacitor.

V = 100 V (rms)f = 200 HzR = 50 ΩL = 150 mHC = 1 µF
VC = V

Answer key

  1. 1. |Z| = 208.4 Ω
  2. 2. VR = 8.616 V
  3. 3. φ = −18.52 °
  4. 4. I = 0.682 A
  5. 5. VC = 38.96 V
  6. 6. VC = 130.6 V

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