A capacitor has capacity C and reactance...

A capacitor has capacity C and reactance X. If capacitance and frequency become double, then reactance will be

A

`2X`

B

`4X`

C

`X/2`

D

`X/4`

Text Solution

Verified by Experts

The correct Answer is:

D

`X_(C) = 1/(omega C) = 1/(2 pi fC)`
`:. ((X_C)_(2))/((X_C)_(1)) = (2 pi f_(1)C_(1))/(2 pi f_(2)C_(2)) = 1/4`.

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