Halliday, Resnick & Walker — Induction and Inductance: Problem 53

53 A square wire loop with 2.00 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in Fig. 30-44. The loop contains an ideal battery with emf \(\mathcal{E}_{bat} = 12.0 \text{ V}\). If the magnitude of the field varies with time according to \(B = 0.603 - 1.25t\), with \(B\) in teslas and \(t\) in seconds, what are (a) the net emf in the circuit and (b) the direction of the (net) current around the loop?