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
V2000 HzL = 200 mH

Find the reactance XL of a 200 mH inductor at 2000 Hz.

L = 200 mHf = 2000 Hz
XL = Ω
2.Easy
12 V200 HzR = 30 ΩL = 150 mH

A series RL circuit is connected to a 12 V (rms), 200 Hz supply. Find the rms voltage VR across the resistor.

V = 12 V (rms)f = 200 HzR = 30 ΩL = 150 mH
VR = V
3.Medium
12 V500 HzR = 40 ΩL = 150 mHC = 4.7 µFI

A series RLC circuit is connected to a 12 V (rms), 500 Hz supply. Find the rms current I.

V = 12 V (rms)f = 500 HzR = 40 ΩL = 150 mHC = 4.7 µF
I = A
4.Medium
120 V500 HzR = 25 ΩL = 150 mHC = 2.2 µF

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 120 V (rms)f = 500 HzR = 25 ΩL = 150 mHC = 2.2 µF
φ = °
5.Hard
230 V200 HzR = 50 ΩL = 250 mHC = 1 µF

A series RLC circuit is connected to a 230 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 230 V (rms)f = 200 HzR = 50 ΩL = 250 mHC = 1 µF
f0 = Hz
6.Hard
50 V200 HzR = 60 ΩL = 200 mHC = 100 µF

A series RLC circuit is connected to a 50 V (rms), 200 Hz supply. Find the resonant frequency f0 of the circuit.

V = 50 V (rms)f = 200 HzR = 60 ΩL = 200 mHC = 100 µF
f0 = Hz

Answer key

  1. 1. XL = 2513 Ω
  2. 2. VR = 1.886 V
  3. 3. I = 0.02959 A
  4. 4. φ = 85.62 °
  5. 5. f0 = 318.3 Hz
  6. 6. f0 = 35.59 Hz

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