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In a series L-C-R circuit shown in the f...

In a series L-C-R circuit shown in the figure , what is the resonance frequency and the current at the resonating frequency?

A

`0^(@)`

B

`30^(@)`

C

`45^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
a) Impedance,
`Z=sqrt(R^(2)+(X_(L)-X_(C))^(2)`
`10=sqrt((10^(2)+(X_(L)-X-( C))^(2)`
`rArr 100 = 100+(X_(L)-X_(C))^(2)`
`rArr X_(L)-X_(C)=0`…………(i)
Let `phi` is the phase difference between current and voltage
`therefore tanphi = (X_(L)-X_(C))/R`
`therefore tanphi=0/R`
`phi=0` [From Eq. (i)]`
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