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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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Knowledge Check

  • For the series LCR circuit shown in the figure, what is the resonance frequency and the amplitude of the current at the resonating frequency

    A
    `2500 rad s^(-1)` and `5sqrt(2) A`
    B
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    C
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    D
    `25 rad s^(-1)` and `5sqrt(2) A`

  • In a series LCR circuit, at resonant frequency.

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    the impedance and the current are maximum
    B
    the impedance is maximum
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  • Current through an AC series L-C-R circuit is 2 A if operated at resonance frequency , and 1 A if operated at 50% less than resonant frequency . The current (in A) if the frequency is 100% more than the resonant frequency , is

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