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 V200 HzR = 60 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 = 60 ΩL = 100 mH
VL = V
2.Easy
120 V60 HzR = 30 ΩL = 100 mH

A series RL circuit is connected to a 120 V (rms), 60 Hz supply. Find the magnitude of the impedance |Z|.

V = 120 V (rms)f = 60 HzR = 30 ΩL = 100 mH
|Z| = Ω
3.Medium
230 V1000 HzR = 10 ΩL = 50 mHC = 1 µFI

A series RLC circuit is connected to a 230 V (rms), 1000 Hz supply. Find the rms current I.

V = 230 V (rms)f = 1000 HzR = 10 ΩL = 50 mHC = 1 µF
I = A
4.Medium
230 V50 HzR = 20 ΩC = 47 µFI

A resistor and a capacitor are connected in parallel across a 230 V (rms), 50 Hz supply. Find the rms current I.

V = 230 V (rms)f = 50 HzR = 20 ΩC = 47 µF
I = A
5.Hard
100 V500 HzR = 20 ΩL = 50 mHC = 1 µF

A series RLC circuit is connected to a 100 V (rms), 500 Hz supply. Find the resonant frequency f0 of the circuit.

V = 100 V (rms)f = 500 HzR = 20 ΩL = 50 mHC = 1 µF
f0 = Hz
6.Hard
VfR = 10 ΩL = 50 mHC = 0.047 µF

A series RLC circuit has R = 10 Ω, L = 50 mH and C = 0.047 µF. Find its quality factor Q at resonance.

R = 10 ΩL = 50 mHC = 0.047 µF
Q =

Answer key

  1. 1. VL = 21.66 V
  2. 2. |Z| = 48.18 Ω
  3. 3. I = 1.481 A
  4. 4. I = 11.99 A
  5. 5. f0 = 711.8 Hz
  6. 6. Q = 103.1

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