Figure shows an `LCR` circuit. When the switch is closed, the currents through resistor `R`, inductor `L`, and capacitor `C` are `I_(1),I_(2)`, and `I_(3)`, respectively. Determine the values of `I_(1),I_(2)`, and `I_(3)`.

a. at `t = 0` b. at `t = oo`

Explanation

At `t = 0`, `C` will act as a simple wire, so `R` and `L` both will be short-circuited. So that there is no current in `R` and `L`.
`I_(1) = 0, I_(2) = 0, I_(3) = (epsilon)/(r )`
At `t = oo`, will act as as a simple wire so, `R` and `C` will be short-circuited.
`I_(1) = 0, I_(2) = (epsilon)/(r ), I_(3) = 0`