In the figure below, a wire forms a closed circular loop, with radius $R=3\mathrm{.}8m$ and resistance $5\mathrm{.}6.$ The circle is centered on a long straight wire; at time $t=0,$ the current in the long straight wire is $5\mathrm{.}4$ A rightward. Thereafter, the current changes according to $i=5\mathrm{.}4A-(2\mathrm{.}0\frac{A}{s^2})t^2.($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 $t>0?$

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