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 = 15 ΩL = 100 mHI

A series RL circuit is connected to a 24 V (rms), 50 Hz supply. Find the rms current I.

V = 24 V (rms)f = 50 HzR = 15 ΩL = 100 mH
I = A
2.Easy
100 V100 HzR = 80 ΩC = 10 µF

A series RC circuit is connected to a 100 V (rms), 100 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 100 HzR = 80 ΩC = 10 µF
|Z| = Ω
3.Medium
Vf0​ = 200 HzRL = ?C = 2.2 µF

A series RLC circuit with C = 2.2 µF must resonate at 200 Hz. Find the inductance L needed.

f0 = 200 HzC = 2.2 µF
L = mH
4.Medium
230 V100 HzR = 100 ΩL = 250 mHC = 47 µFI

A series RLC circuit is connected to a 230 V (rms), 100 Hz supply. Find the rms current I.

V = 230 V (rms)f = 100 HzR = 100 ΩL = 250 mHC = 47 µF
I = A
5.Hard
100 V60 HzR = 30 ΩL = 100 mHC = 4.7 µF+−VC​

A series RLC circuit is connected to a 100 V (rms), 60 Hz supply. Find the rms voltage VC across the capacitor.

V = 100 V (rms)f = 60 HzR = 30 ΩL = 100 mHC = 4.7 µF
VC = V
6.Hard
24 V200 HzR = 30 ΩL = 250 mHC = 100 µF

A series RLC circuit is connected to a 24 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 24 V (rms)f = 200 HzR = 30 ΩL = 250 mHC = 100 µF
f0 = Hz

Answer key

  1. 1. I = 0.6894 A
  2. 2. |Z| = 178.1 Ω
  3. 3. L = 287.8 mH
  4. 4. I = 1.449 A
  5. 5. VC = 107 V
  6. 6. f0 = 31.83 Hz

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