Learning Goal:

To practice Problem$-$Solving Strategy $30\mathrm{.}1$: Inductors in Circuits.

A circuit has a $3\mathrm{.}8$ VV battery connected in series with a switch. When the switch is closed, the battery powers two paths in parallel, one of which has a resistor of resistance R$1$R$1=90$ in series with an inductor of inductance LL $=1\mathrm{.}4102$ HH $,$ while the other has a resistor of resistance R$2$R$2=460.$ What is the current supplied by the battery at a time tt $=0\mathrm{.}3$ msms after the switch is closed?

What is the current i$1$i$1$ supplied by the battery a time tt $=0\mathrm{.}3$ msms after the switch is closed?