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The reactance offered by a capcitor to a...

The reactance offered by a capcitor to an a.c. of frequency 50 Hz is `15 Omega`. What would be its reactance if the frequency is increased to 75 Hz?

A

`10 Omega`

B

`20 Omega`

C

`15 Omega`

D

`25 Omega`

Text Solution

Verified by Experts

The correct Answer is:
A

`(X_(C_2))/(X_(C_1)) = (omega_(1)C)/(omega_(2)C) = (f_1)/(f_2) = 2/3`
`:. X_(C_2) = 2/3 (15) = 10 Omega`.
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