Question

A capacitor, a 101.5 mH inductor and a 5 ohm resistor are connected in series with a 50 Hz a.c. source. If current and voltage in the circuit are in phase, what is the capacity of the condenser ?

Answer 1

Here, `L = 101.5 mH = 101.5 xx 10^(-3) H, R = 5 ohm, v = 50 Hz, C = ?`
As current and voltage are in phase, therefore `X_(C ) = X_(L)`
`(1)/(omega C) = omega L`
`C = (1)/(omega^(2) L) = (1)/((2 pi v)^(2) L) = (1)/(4 pi^(2) v^(2) L) = (1)/(4 xx (3.14)^(2) xx (50)^(2) xx 101.5 xx 10^(-3))`
`C = 99.8xx10^(-6)F = 99.8 mu F`