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Assertion: In L-C-R series AC circut, X(...

Assertion: In L-C-R series AC circut, `X_(L)= X_(C) = R` at a given frequency. When frequency is doubled, the impedance of the circuit is `sqrt(13)/2` R.
Reason: The given frequency is resonancle frequency.

A

If both Assertion and Reason are true and Reason is the correct explanation of Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true but Reason is false.

D

If Assertion is false but Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
B
When frequency is doubled,
`X_(L) =2R`
and `X_(C) = R/2` `[as X_(C) propto 1/omega]`
`z=sqrt((R)^(2)+(2R-R/2)^(2)) = sqrt(13)/2` R
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