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A sinusoidal voltage of peak value 285 V...

A sinusoidal voltage of peak value 285 V is applied to a series LCR circuit in which resistor of resistance 5 W, pure Inductor of Inductance 28.5 mH and capacitor of capacitance 800 `mu` R are connected.
Find the resonant frequency.

Text Solution

Verified by Experts

Given `V_(0)=285V,R=5W,L=28.5xx10^(-3)H,`
`C=800xx10^(-6)F.`
Reasonant frequency `f_(0)=(1)/(2pisqrt(LC))`
i.e, `f_(0)=(1)/(2xx3.142sqrt(28.5xx10^(-3)xx800xx10^(-6)))Hz`
i.e, `f_(0)=(1)/(6.284sqrt22.8xx10^(-6))`
i.e, `f_(0)=(10^(6))/(30.00)=0.0333xx10^(6)Hz`
`f_(0)=33.3kHz`
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