A small rectangular loop of length $l=10cm$ and width $w=8\mathrm{.}0cm$ with resistance $R=2\mathrm{.}0$ is pulled at a constant speed $v=2\mathrm{.}0c\frac{m}{s}$ through a region of uniform magnetic field $B=2\mathrm{.}0T,$ pointing into the page, as shown in Figure Q$-3.$ At $t=0,$ the front of the rectangular loop enters the region of the magnetic field.

Figure Q$-3$

$($a$)$ Find the magnetic flux as a function of time $($from $t=0$ till the loop leaves the region of magnetic field.$)$

$-[2$ Marks$]$

$0$