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What is meant by resonance in a series L...

What is meant by resonance in a series LCR circuit? Write the expression for the current through LCR series circuit at resonance. Mention any one application of resonant circuits.

Text Solution

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In a series LCR circuit for a particular frequency of the applied a.c. the current in the circuit becomes maximum. This is known as electrical resonance.
At resonance, inductive reactance `(X_(L))` = capacitive reactanmce `(X_(C))`
`rArr omega_(0)L = (1)/(omega_(0)C)`
Thus resonant angular frequency
`omega_(0) = (1)/(sqrt(LC))`
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Knowledge Check

  • In an LCR circuit, at resonance

    A
    the impedence is maximum
    B
    the current leads the voltage by `pi//2`
    C
    the current and voltage are in phase
    D
    the current is minimum
  • In the series LCR circuit , the power dissipation is through

    A
    R
    B
    L
    C
    C
    D
    both L and C
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