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
120 V60 HzR = 20 ΩL = 150 mHI

A series RL circuit is connected to a 120 V (rms), 60 Hz supply. Find the rms current I.

V = 120 V (rms)f = 60 HzR = 20 ΩL = 150 mH
I = A
2.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
3.Medium
10 V500 HzR = 10 ΩL = 50 mHC = 100 µFI

A series RLC circuit is connected to a 10 V (rms), 500 Hz supply. Find the rms current I.

V = 10 V (rms)f = 500 HzR = 10 ΩL = 50 mHC = 100 µF
I = A
4.Medium
12 V60 HzR = 25 ΩL = 20 mHC = 22 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 = 20 mHC = 22 µF
P = W
5.Hard
12 Vf0​R = 10 ΩL = 200 mHC = 1 µF

A series RLC circuit is driven by a 12 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 12 V (rms)R = 10 ΩL = 200 mHC = 1 µF
VL = V
6.Hard
12 V500 HzR = 80 ΩL = 50 mHC = 47 µF+−VC​

A series RLC circuit is connected to a 12 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 12 V (rms)f = 500 HzR = 80 ΩL = 50 mHC = 47 µF
VC = V

Answer key

  1. 1. I = 2.001 A
  2. 2. XC = 361.7 Ω
  3. 3. I = 0.06484 A
  4. 4. P = 0.2686 W
  5. 5. VL = 536.7 V
  6. 6. VC = 0.4773 V

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