Q$1($a$)$

Consider the circuit shown in figure below. The switch has been in position A for a

long time before moving instantaneously to position B at time t$=0$ seconds.

$($a$)$ What is the value of i$\_($L$)(0^(-))?$

$($b$)$ What is the value of V$\_($L$)(0^(-))?$

$($c$)$ What is the value of i$\_($S$)(0^(-))?$

$($d$)$ What is the value of i$\_($L$)(0^(+))?$

$($e$)$ What is the value of i$\_($S$)(0^(+))?$

$($f$)$ What is the value of v$\_($L$)(0^(+))?$

$($g$)$ What is the value of v$\_($L$)(\backslash$infty $)?$

$($h$)$ Use Kirchoff's Voltage Law to derive differential equation for the

circuit when the switch is in position B$.$

$($j$)$ Show that i$\_($L$)($t$)=$e$^(-10$t$)$A satisfies the differential equation derived in

part $($h$).$