Q. The frequency for which a $5\ \mu F$ capacitor has a reactance of $\frac{1}{1000}ohm$ is given by
A) $\frac{100}{\pi}MHz$
B) $\frac{1000}{\pi}Hz$
C) $\frac{1}{1000}Hz$
D) $1000\ Hz$
Explanation
(a) $X_{C} = \frac{1}{2\pi vC} \Rightarrow \frac{1}{1000} = \frac{1}{2\pi \times v \times 5 \times 10^{- 6}}$
$\Rightarrow v = \frac{100}{\pi}MHz$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.