The capacitive reactance of a 0.47 µF capacitor that is across a 2 kHz sine wave signal source

Electrical Engineering MCQ on Capacitance

The capacitive reactance of a 0.47 µF capacitor that is across a 2 kHz sine wave signal source:

1. 1.7 Ω
2. 17.5 Ω
3. 140 Ω
4. 170 Ω

Correct answer: 4. 170 Ω

Explanation

Formula for capacitive reactance

Xc = 1/ωC=1/2πfC = 1/(2π * 2 kHz * 0.47 µF) = 169.31 ≈ 170 Ω