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The natural frequency (omega(0)) of osci...

The natural frequency `(omega_(0))` of oscillations in LC circuit is given by

A

`(1)/(2pi)(1)/(sqrt(LC))`

B

`(1)/(pi)(1)/(sqrt(2LC))`

C

`(1)/(sqrt(LC))`

D

`sqrt(LC)`

Text Solution

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The correct Answer is:
A
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A circuit consisting of a capacitor and a coil connected in seried if fed two alternating voltages of equal amplitudes but different frequencies. The frequency of one voltage is equal to the natural oscillation frequency ( omega_(0)) of the circuit, the frequency of the other voltage is eta times highter. Find the ratio of the current amplitudes (I_(0)//I) generated by the two voltages if the quality factor of the system is equal to Q . Calculate this ratio for Q=10 and 100, if eta=1.10 .

Knowledge Check

  • The oscillation in LC, circuit is produced due to

    A
    transfer of energy between L and C
    B
    transfer of resistance between L and C
    C
    transfer of energy between diode and transistor
    D
    transfer of energy between resistance and C

  • The frequency of LC oscillation is given by

    A
    `f=(1)/(2pisqrt(LC))`
    B
    `f=2pisqrt(LC)`
    C
    `f=(1)/(pisqrt(LC))`
    D
    `f=(1)/(4piepsi_(0))sqrt(LC)`

  • In an oscillator, frequency of oscillations is given by

    A
    `v=2pisqrt(LC)`
    B
    `v=(1)/(2pisqrt(LC))`
    C
    `v=(1)/(2pisqrt(C))`
    D
    `v=(1)/(2pi)sqrt(LC)`

    • Similar Questions

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    The natural frequency of a L - C circuit is equal to

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