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A capacitor, a resistor and a 40 mH indu...

A capacitor, a resistor and a 40 mH inductor are connected in series to an ac source of frequency 60 Hz. Calculate the capacitance of the capacitor, if the current is in phase with the voltage.

Text Solution

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If the current is the phase with the voltage,
`V_L = V_C`
`rArr X_L = X_C`
`rArr f_0 = 1/(2pi sqrt(LC)) = f`
`4 pi ^2f^2 LC =1`
`rArr C = 1/(4pif^2 xx L) = 1/(4xx (3.14)^2 xx 60 xx 60 xx 40 xx 10^(-3)) = 175.7 mu F`
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