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
V1000 HzC = 22 µF

Find the reactance XC of a 22 µF capacitor at 1000 Hz.

C = 22 µFf = 1000 Hz
XC = Ω
2.Easy
230 V50 HzR = 100 ΩL = 100 mH

A series RL circuit is connected to a 230 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 230 V (rms)f = 50 HzR = 100 ΩL = 100 mH
|Z| = Ω
3.Medium
50 V50 HzR = 60 ΩL = 200 mHI

A resistor and an inductor are connected in parallel across a 50 V (rms), 50 Hz supply. Find the magnitude of the impedance |Z|.

V = 50 V (rms)f = 50 HzR = 60 ΩL = 200 mH
|Z| = Ω
4.Medium
12 V60 HzR = 10 ΩL = 100 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 = 10 ΩL = 100 mHC = 100 µF
I = A
5.Hard
230 V200 HzR = 50 ΩL = 100 mHC = 100 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 = 100 mHC = 100 µF
f0 = Hz
6.Hard
50 V50 HzR1​ = 50 ΩR2​ = 30 ΩC = 47 µFI

A resistor R1 is connected in series with a parallel combination of R2 and a capacitor C, across a 50 V (rms), 50 Hz supply. Find the rms current I.

V = 50 V (rms)f = 50 HzR1 = 50 ΩR2 = 30 ΩC = 47 µF
I = A

Answer key

  1. 1. XC = 7.234 Ω
  2. 2. |Z| = 104.8 Ω
  3. 3. |Z| = 43.39 Ω
  4. 4. I = 0.8003 A
  5. 5. f0 = 50.33 Hz
  6. 6. I = 0.6588 A

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