Question # $2$

$[12$ Marks$]$

The switches in the circuit shown in Figure $2$ changed positions as indicated on the circuit schematic at $t=0$ :

a$)$ Find the initial value of the inductor current $i(t)$

$[2$ Marks$]$

b$)$ Find the final value of the inductor current $i(t).$

$[2$ Marks$]$

c$)$ Write down the mathematical expression for $i(t)$ for $t>0.$

$[5$ Marks$]$

d$)$ Write down the mathematical expression for $v(t)$ for $t>0$

$[1$ Marks$]$

e$)$ Write down the mathematical expression for $i_o(t)$ for $t>0$

$[2$ Marks$]$