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In a series LCR circuit the frequency of...

In a series `LCR` circuit the frequency of a `10 V`, `AC` voltage soure is adjusted in such a fashion that the reactance of the inductor meausers `15 Omega` and that of the capacitor `11 Omega`. If `R = 3 Omega`, the potentail difference across the series combination of `L` and `C`will be:

A

`8 V`

B

`10 V`

C

`22 V`

D

`52 V`

Text Solution

Verified by Experts

The correct Answer is:
A
`i = (10)/(sqrt(3^(2) + (15 - 11)^(2))) = 2 A`
`:. V_(L) - V_(C ) = i (X_(L) - X_(C )) = 2 (15 - 11) = 8 V`
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