$1.(15$ points$)$ For the simple RL circuit below, L is known to be $3$ mH$.$ If i$(0)=1\mathrm{.}5$ A

and i$(2$ s$)=551\mathrm{.}8$ mA$,$ determine the value of the resistor R$.$

R LvR vL

i$($t$)$

$+$

$-$

$+$

$-$

$2.(15$ points$)$ The $3$ mH inductance in the circuit above is storing $1$ J of energy at t $=$

$0,$ and $100$ mJ at t $=1$ms$.$ Calculate R$.$