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A series LCR circuit is connected to 230...

A series LCR circuit is connected to 230 V a.c. source of variable frequency. The inductance of the coil is 5 H capacitance of the capacitor is `5 mu F` and resistance is `40 Omega`. At resonance calculate , (a) The resonant frequency , (b) current is the circuit and (c ) the inductive reactance.

Text Solution

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`f_(0) = (1)/(2pisqrt(LC)) = (1000)/(31.4) = 31.8 Hz`
`I = (V)/(R ) = (230)/(40) = 5.75 A`
`X_(L) = 2pi fL = 998.5 Omega`
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