Find the current passing through battery immediately after key `(K)` is closed. It is given that initially all the capacitors are uncharged. (Given that `R=6Omega` and `C=4muF)`

Options

A. `1A`
B. `5A`
C. `3A`
D. `2A`

Answer

A

Explanation

At time `t=0`, resistance offered by a capacitor `=0` and resistance offered by an inductor `=alpha`
`R_("net")=R/2+R/3=(5R)/6=5Omega`
`:.` Current from the battery,
`i=E/R_("net")=5/5=1A`