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Question

Question: The reactance of a \(25\mu F\) capacitor at the ac frequency of 4000 Hz is...

The reactance of a 25μF25\mu F capacitor at the ac frequency of 4000 Hz is

A

5π\frac{5}{\pi}ohm

B

5π\sqrt{\frac{5}{\pi}}ohm

C

10 ohm

D

10\sqrt{10}ohm

Answer

5π\frac{5}{\pi}ohm

Explanation

Solution

XC=12πνC=12π×4000×25×106=5πΩX_{C} = \frac{1}{2\pi\nu C} = \frac{1}{2\pi \times 4000 \times 25 \times 10^{- 6}} = \frac{5}{\pi}\Omega