Question

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

Answer 1

Answer: (A)

$\frac{100}{\pi}MHz$

Answer 2

$X_{C} = \frac{1}{2\pi\nu C}$⇒$\nu = \frac{1}{2\pi X_{C}(C)} = \frac{1}{2\pi \times \frac{1}{1000} \times 5 \times 10^{- 6}} = \frac{100}{\pi}MHz.$