$*5$ In Fig. $30-36,$ a wire forms a closed circular loop, of radius $R=2\mathrm{.}0m$ and resistance $4\mathrm{.}0.$ The circle is centered on a long straight wire; at time $t=0,$ the current in the long straight wire is $5\mathrm{.}0$A rightward. Thereafter, the current changes according to $i=5\mathrm{.}0A-(2\mathrm{.}0\frac{A}{s^2})t^2.($The straight wire is insulated; so there is no electrical contact between it and the wire of the loop.$)$ What is the magnitude of the current induced in the loop at times $t>0?$

rigure $3$U$-36$ Problem $5.$