In the figure, a rectangular loop of wire with length $a=3\mathrm{.}8cm,$ width $b=1\mathrm{.}5cm,$ and resistance $R=0\mathrm{.}87m$ is placed near an infinitely long wire carrying current $i=4\mathrm{.}0A.$ The loop is then moved away from the wire at a constant speed $v=4\mathrm{.}5m\frac{m}{s}.$ When the center of the loop is at distance $r=2\mathrm{.}1cm,$ what are $($a$)$ the magnitude of the magnetic flux through the loop and $($b$)$ the current in amperes induced in the loop?