An RLC circuit includes a `1.6` H inductor and a `250 muF` capacitor rated at 400 V. The circuit is connected across a sine - wave generator whose peak voltage is 32 V. What minimum resistace must the circuit have to ensure that the capacitor voltage does not exceed its rated value when the generator is at the resonant frequency? Fill 10 R in OMR sheet.

Answer

`0064`

Explanation

`i=(V_(0))/Z=V_(0)/R omega=1/sqrt(LC)=1/sqrt(1.6xx250xx10^(-6))`
`V_(C)=i_(0)xxi_(0)xx1/(omega_(C))=V_(0)/(omegaCR) 10^(3)/(4xx5)=50`
`400=32/(50xx250xx10^(-6)xxR)`
`R=(32xx10^(-6))/(50xx250xx400)=6.4Omega Rightarrow 64`