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 worksheet Practise 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

Find the reactance X_C of a 0.22 µF capacitor at 2000 Hz.

C = 0.22 µFf = 2000 Hz

X_C = Ω

2.Easy

A series RL circuit is connected to a 50 V (rms), 100 Hz supply. Find the rms voltage V_R across the resistor.

V = 50 V (rms)f = 100 HzR = 30 ΩL = 250 mH

V_R = V

3.Medium

A series RLC circuit is connected to a 12 V (rms), 100 Hz supply. Find the rms current I.

V = 12 V (rms)f = 100 HzR = 50 ΩL = 50 mHC = 4.7 µF

I = A

4.Medium

A series RLC circuit is connected to a 12 V (rms), 100 Hz supply. Find the power factor cos φ of the circuit.

V = 12 V (rms)f = 100 HzR = 50 ΩL = 150 mHC = 100 µF

cos φ =

5.Hard

A series RLC circuit is connected to a 24 V (rms), 500 Hz supply. Find the rms current I.

V = 24 V (rms)f = 500 HzR = 30 ΩL = 150 mHC = 22 µF

I = A

6.Hard

A series RLC circuit is connected to a 120 V (rms), 500 Hz supply. Find the resonant frequency f₀ of the circuit.

V = 120 V (rms)f = 500 HzR = 10 ΩL = 20 mHC = 10 µF

f₀ = Hz

Answer key

1. X_C = 361.7 Ω
2. V_R = 9.38 V
3. I = 0.03855 A
4. cos φ = 0.538
5. I = 0.05243 A
6. f₀ = 355.9 Hz

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