Two resistors $R_1=15\mathrm{.}0,$ and $R_2=11\mathrm{.}0$ are connected with a $330$ mH inductor, a $12\mathrm{.}0$ V battery and a two$-$way switch as shown in the diagram below. At $t=0,$ the switch ab is closed.

$($a$)$ Determine the time constant for this circuit.

$($b$)$ Calculate the current in the two resistors and the inductor a long time after the switch is closed.

$I_{R1}=$

$I_{R2}=0$

$I_L=$

$($c$)$ What is the voltage across the two resistors and the inductor a long time after the switch is closed?

$V_{R1}=$

$V_{R2}=$

$V_{L}vv$

$V$

Now the switch $ab$ is opened and ac is closed.

$($d$)$ Determine the time constant for this circuit. $($Enter your answer to at least four decimal places.$)$

$$ What is the effective resistance of the circuit when the switch is moved to position ac$?$ s

$($e$)$ What is the current in the inductor at $t=0\mathrm{.}007s?$

$q,$ switch is moved from ab to ac$?$ A

$($f$)$ What is the voltage across the two resistors and the inductor at $t=0\mathrm{.}007s?$

$V_{R1}=$

$V_{R2}=$

$V_L=$