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What is a sereis resonant circuit? Deriv...

What is a sereis resonant circuit? Derive an expression for resonance frequency.

Text Solution

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Resonance occurs when `X_L = X_C`
`implies omegaL = 1/(omegaC)`
`implies omega^2=1/(LC)`
`implies omega=1/(sqrt(LC))`
`implies 2piv=1/(sqrt(LC))`
`v = 1/(2pisqrt(LC))`
where v is the resonant frequency. At this frequency, `X_L = X_C` and resonance occurs and maximum current flows through the a.c. circuit.
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