Problem 3.289

A rectangular loop with a sliding connector of length \(l\) is located in a uniform magnetic field perpendicular to the loop plane (Fig. 3.79). The magnetic induction is equal to \(B\). The connector has an electric resistance \(R,\) the sides \(A B\) and \(C D\) have resistances \(R_{1}\) and \(R_{2}\) respectively. Neglecting the self-inductance of the laop, find the current flowing in the connector during its motion with a constant velocity \(v\).