1.

A 100 mH inductor, a 20muF capacitor and a 10Omega resistor are connected in series to a 100V ac source. Calculate (i) impedance of circuit at resonance (ii) current at resonance (iii) resonant frequency.

Answer»

Solution :(i) IMPEDANCE of circuit at resonance
`Z=R=10Omega`
(ii) CURRENT at resonance `=(E)/(R )=(100)/(10)=10A`
(III) Resonant frequency, `v_(0)=(1)/(2pisqrt(LC))`
`v_(0)=(1)/(2pisqrt((100xx10^(-3))(20xx10^(-6))))=112.5Hz`


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