Switches `S_(1), S_(2)` remain open and switch `S_(3)` remains closed for long time such that capacitor becomes fully charged and current in inductor coil becomes maximum, Now switches `S_(1), S_(2)` are simultaneously closed and`S_(3)` in simultaneously opened at `t=0`
Assume that battery and inductor coil are ideal

Maximum current in the inductor coil at any times `t gt 0`

Options

A. `(1)/(10)A`
B. `(1)/(5sqrt(2))A`
C. `(1)/(5)A`
D. `1A`

Answer

A

Explanation

`(1)/(2)Li_("max")^(2) = (1)/(2)(Q^(2))/(C) + (1)/(2)Li^(2) rArr i_("max") = (sqrt(2))/(10)A = (1)/(5sqrt(2)) A`