Figure $($a$)$ shows a wire that forms a rectangle $(W=15\mathrm{.}0cm,H=26\mathrm{.}0cm)$ and has a resistance of $4\mathrm{.}00m.$ Its interior is split into three equal areas, with magnetic fields vec$({)}_1,$vec$(B{)}_2,$ and vec$(B{)}_3.$ The fields are uniform within each region and directly out of or into the page as indicated. Figure $($b$)$ gives the change in the $z$ components $B_z$ of the three fields with time $t$; the vertical axis scale is set by $B_s=3\mathrm{.}50T$ and $B_b=-2\mathrm{.}50B_s.$ What are the

$($a$)$ the magnitude and

$($b$)$ direction of the current induced in the wire?

$($a$)$

$($a$)$ Number.

Units

$($b$)$