In the figure, a wire loop has been bent so that it has three segments: segment be $($a quarter$-$circle$),$ oc $($a square corner$),$ and ob $($straight$).$ Here are three choices for a magnetic field through the loop:

$(1)$ vec$(B_i)=3$hat$(i)+7$hat$()-5$ihat$(k)$

$(2)$ vec$(B_2)=5$rhat$(i)-4$hat$(j)-15$hat$(k)$

$(3)$ vec$(B_3)=2$hat$(i)-5$that$(j)-12$hat$(k)$

where vec$(B)$ is in milliteslas and $t$ is in seconds.

Without written calculation, rank the choices according to the work done per unit charge in setting up the induced current. If multiple choices rank equally, use the same rank for each, then exciude the intermediate ranking $($i$.$e$.$ if objects A $8,$ and C must be ranked, and A and B must both be ranked first the ranking would be A$.$Greatest. $8.$Greatest. C:Third greatest$).$ If all choices rank equally,rankeach as 'Greatest':

Choice $1$

Choice $2$

Choices $3$

Without written calculation, rank the choices pccording to the induced current. If multiple choices rank equalty use the same rank for each. then exdude the intermediate ranking $($le if oblects $AB,$ and $C$ must be ranked and A and $B$ must both be ranked first. the ranking would be ACGreatest. B:Greatest. C:Third greatest$).$ If all choices rank equally, rank each as Greatest:

Cholce $1$

Choice? $2$

Choice $3$

For each choice, what is the direction of we induced current in the foure?

$(1)$

$($c$)$