A coil of inductance `300mh` and resistance `2Omega` is connected to a source of voltage `2V`. The current reaches half of its steady state value in

Explanation

Here, `L = 300 mH = 0.3 H, R = ohm, t = ? I = I_(0)//2`
From ` I = I_(0) (._(1 - e) (R )/(L) t)`
`(1)/(2) = 1 - e^((2)/(0.3)t)`
`e^(-(20)/(3)t) =1 - (1)/(2) = (1)/(2)`
`- (20)/(3) t = log_(e)^(1) - log_(e)^(2) = 0 - 0.693`
`t = (0.693 xx 3 )/(20) = 0.1 s`