In the circnit shown, capacitor is initially uncharged till the switch is turned on at time `t= 0`. Then

Options

A. at `t=0` current supplied by battery is 4 mA
B. at `t=0`, current in `R_(3)` is 2mA
C. in the steady state current supplied by battery is 3 mA
D. in the steady state current in `R_(3)` is zero

Answer

A, B, C, D

Explanation

`t=0` uncharged capacitor has zero potential diff.

`R_(eq)=3KOmega`
`i_(1)=(12V)/(3KOmega) = 4` mA
`i_(2)=i_(3)=i_(1)/2=2`mA
`i_(1)-i_(2)-(12V)/(4KOmega)=3mA and i_(3)=0`