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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
` Z = sqrt(R^(2) + (X_(L) - X_(C))^(2))= sqrt(3^(2) + (15 - 11) ^(2))= 5 Omega `
`i = (V)/(Z) = (10)/( 5) = 2A`
`V_(R) = i R = 6 V `
`V_(L) = i X_(L) = 2 xx 15 = 30 V `
`V_(C) = i X _(C) = 2 xx 11 = 22 V `
`V_(L) - V_(C) = 30 - 22 = 8 V `
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