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
V500 HzC = 0.47 µF

Find the reactance XC of a 0.47 µF capacitor at 500 Hz.

C = 0.47 µFf = 500 Hz
XC = Ω
2.Easy
100 V60 HzR = 40 ΩL = 200 mH

A series RL circuit is connected to a 100 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 100 V (rms)f = 60 HzR = 40 ΩL = 200 mH
|Z| = Ω
3.Medium
120 V100 HzR = 10 ΩL = 200 mHC = 47 µF

A series RLC circuit is connected to a 120 V (rms), 100 Hz supply. Find the phase angle φ of the impedance, in degrees (positive when the current lags the voltage).

V = 120 V (rms)f = 100 HzR = 10 ΩL = 200 mHC = 47 µF
φ = °
4.Medium
24 V60 HzR = 20 ΩL = 20 mHI

A resistor and an inductor are connected in parallel across a 24 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 24 V (rms)f = 60 HzR = 20 ΩL = 20 mH
|Z| = Ω
5.Hard
VfR = 10 ΩL = 20 mHC = 0.22 µF

A series RLC circuit has R = 10 Ω, L = 20 mH and C = 0.22 µF. Find its bandwidth B (the width of the band between the half-power frequencies), in Hz.

R = 10 ΩL = 20 mHC = 0.22 µF
B = Hz
6.Hard
12 V60 HzR = 50 ΩL = 200 mHC = 100 µFI

A series RLC circuit is connected to a 12 V (rms), 60 Hz supply. Find the rms current I.

V = 12 V (rms)f = 60 HzR = 50 ΩL = 200 mHC = 100 µF
I = A

Answer key

  1. 1. XC = 677.3 Ω
  2. 2. |Z| = 85.35 Ω
  3. 3. φ = 83.78 °
  4. 4. |Z| = 7.055 Ω
  5. 5. B = 79.58 Hz
  6. 6. I = 0.1716 A

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