In a circuit `L, C` and `R` are connected in series with an alternating voltage source of frequency `f`. The current lead the voltages by `45^(@)`. The value of `C` is :

In a circuit `L, C` and `R` are connected in series with an alternatin

1.	In a circuit `L, C` and `R` are connected in series with an alternating voltage source of frequency `f`. The current lead the voltages by `45^(@)`. The value of `C` is :
Answer» As current leads the voltage by `45^(@)` `:.tan theta = (X_(C ) - X_(L))/(R ) = tan 45^(@) = 1` `:. X_(C ) - X_(L) = R` or `X_(C ) = X_(L) + R` or `(1)/(omega C) = omega L + R implies C = (1)/(omega (omega L + R))` `C = (1)/(2 pi f (2 pi fL + R))`

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In a circuit `L, C` and `R` are connected in series with an alternating voltage source of frequency `f`. The current lead the voltages by `45^(@)`. The value of `C` is :

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