$5.)$ A small, circular ring is inside a larger loop that is connected to a battery and a switch, as shown at the right. Use Lenz's Law to find the direction of the current induced in the small ring

$($a$)$ just after switch S is closed;

$($b$)$ after $S$ has been closed a long time;

$($c$)$ just after $S$ has been reopened after it was closed for a long time.