A capacitor, a resistor and a 40 mH inductor are connected in series to an a.c. source of frequency 60 Hz. Calculate the capacitance of the capacitor,if current is in phase with the voltage.
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If the current is in phase with the voltage, `V_(L)=V_(C)` `rArr X_(L)=X_(C)` `rArr f_(0) = (1)/(2pi sqrt(LC))=f` ` 4 pi^(2) f^(2)LC = 1` `rArr C = (1)/( 4 pi^(2) f^(2) xx L)=(1)/(4xx(3.14)^(2)xx60xx60xx40x10^(-3))=175.7 mu F`
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