HW $3($Due next class$)1.$ If the current through a $1-$mH inductor is i$($t$)=90$ sin $(200$t$)$ mA$,$ find the terminal voltage and the energy stored. $2.$ The terminal voltage of a $2-$H inductor is v $=10(1$ t$)$ V$.$ Find the current flowing through it at t $=4$ s and the energy stored in it at t $=4$ s$.$ Assume i$(0)=2$ A$.3.$ Determine v C$,$ iL$,$ and the energy stored in the capacitor and inductor in the circuit of the following circuit under dc conditions.