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In a circuit L, C and R are connected in...

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 :

A

`(1)/(2pif (2pi L-R))`

B

`(1)/(2pif (2pi L+R))`

C

`(1)/(2pi (2pif L-R))`

D

`(1)/(2pi (2pif L+R))`

Text Solution

Verified by Experts

The correct Answer is:
B
Here `X_(C)-X_(L)=R`
`implies (1)/(2pi f c)=(R+2pi f L)`
`implies C=(1)/(2pi(2pifL+R))`
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