Halliday, Resnick & Walker — Induction and Inductance: Problem 21

21 In Fig. 30-30, a wire forms a closed circular loop, of radius \(R = 0.32\text{ m}\) and resistance \(0.056\text{ }\Omega\). The circle is centered on a long straight wire; at time \(t = 0\), the current in the long straight wire is \(5.0\text{ A}\) rightward. Thereafter, the current changes according to \(i = 5.0\text{ A} - (2.0\text{ A/s}^2)t^2\). (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 \(t > 0\)?