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
Vf = ?L = 200 mH

At what frequency f does a 200 mH inductor have a reactance of 50 Ω?

L = 200 mHXL = 50 Ω
f = Hz
2.Easy
50 V50 HzR = 60 ΩL = 250 mHI

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

V = 50 V (rms)f = 50 HzR = 60 ΩL = 250 mH
I = A
3.Medium
Vf0​ = 60 HzRL = 200 mHC = ?

A series RLC circuit with L = 200 mH must resonate at 60 Hz. Find the capacitance C needed.

f0 = 60 HzL = 200 mH
C = µF
4.Medium
50 V500 HzR = 50 ΩL = 150 mHC = 22 µFI

A series RLC circuit is connected to a 50 V (rms), 500 Hz supply. Find the rms current I.

V = 50 V (rms)f = 500 HzR = 50 ΩL = 150 mHC = 22 µF
I = A
5.Hard
1 Vf0​R = 2 ΩL = 5 mHC = 2.2 µF

A series RLC circuit is driven by a 1 V (rms) source whose frequency is set to the resonant frequency of the circuit. Find the rms voltage VL across the inductor.

V = 1 V (rms)R = 2 ΩL = 5 mHC = 2.2 µF
VL = V
6.Hard
10 V60 HzR = 20 ΩL = 100 mHC = 47 µF

A series RLC circuit is connected to a 10 V (rms), 60 Hz supply. Find the resonant frequency f0 of the circuit.

V = 10 V (rms)f = 60 HzR = 20 ΩL = 100 mHC = 47 µF
f0 = Hz

Answer key

  1. 1. f = 39.79 Hz
  2. 2. I = 0.5059 A
  3. 3. C = 35.18 µF
  4. 4. I = 0.1088 A
  5. 5. VL = 23.84 V
  6. 6. f0 = 73.41 Hz

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