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 = 60 ΩL = 200 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 = 60 ΩL = 200 mH
|Z| = Ω
2.Easy
24 V200 HzR = 80 ΩL = 100 mH

A series RL circuit is connected to a 24 V (rms), 200 Hz supply. Find the rms voltage VL across the inductor.

V = 24 V (rms)f = 200 HzR = 80 ΩL = 100 mH
VL = V
3.Medium
Vf0​ = 5000 HzRL = ?C = 4.7 µF

A series RLC circuit with C = 4.7 µF must resonate at 5000 Hz. Find the inductance L needed.

f0 = 5000 HzC = 4.7 µF
L = mH
4.Medium
230 V60 HzR = 80 ΩL = 50 mHI

A resistor and an inductor are connected in parallel across a 230 V (rms), 60 Hz supply. Find the rms current I.

V = 230 V (rms)f = 60 HzR = 80 ΩL = 50 mH
I = A
5.Hard
24 V60 HzR = 10 ΩL = 100 mHC = 100 µF

A series RLC circuit is connected to a 24 V (rms), 60 Hz supply. Find the resonant frequency f0 of the circuit.

V = 24 V (rms)f = 60 HzR = 10 ΩL = 100 mHC = 100 µF
f0 = Hz
6.Hard
50 V500 HzR = 80 ΩL = 20 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 50 V (rms), 500 Hz supply. Find the rms voltage VC across the capacitor.

V = 50 V (rms)f = 500 HzR = 80 ΩL = 20 mHC = 4.7 µF
VC = V

Answer key

  1. 1. |Z| = 86.88 Ω
  2. 2. VL = 20.25 V
  3. 3. L = 0.2156 mH
  4. 4. I = 12.54 A
  5. 5. f0 = 50.33 Hz
  6. 6. VC = 42.25 V

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