First slide

AC Circuits

Question

The frequency for which a $5 μF$ capacitor has a reactance of $\frac{1}{1000}$ ohm is given by

Moderate

A

$\frac{100}{π} MHz$
B

$\frac{1000}{π} Hz$
C

$\frac{1}{1000} Hz$
D

$1000 Hz$

Solution

$X_{C} = \frac{1}{2 πνC} \Rightarrow \frac{1}{1000} = \frac{1}{2 π \times ν \times 5 \times 10^{- 6}}$
$\Rightarrow ν = \frac{100}{π} MHz$

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