A capacitor of capacitance 100 μF is connected to an ac source V = 300 sin (100 t) volt. The value of capacitive reactance is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 100 Ω
The capacitive reactance depends only on the angular frequency and the capacitance. Comparing \( V = 300\sin(100t) \) with \( V = V_0\sin\omega t \), the angular frequency is \( \omega = 100\,\mathrm{rad\,s^{-1}} \).
\( \displaystyle X_C = \frac{1}{\omega C} \)
\( \displaystyle X_C = \frac{1}{100\,\mathrm{rad\,s^{-1}} \times 100\times10^{-6}\,\mathrm{F}} \)
\( X_C = 100\,\Omega \)