Electromagnetic Induction

In the figure below, the switches S1 and S2 are closed simultaneously at t =0 and a current starts to flow in the circuit. Both the batteries have the same magnitude of the electromotive force (emf) and the polarities are as indicated in the figure. Ignore mutual inductance between the inductors. The current I in the middle wire reaches its maximum magnitude Imax at time t=τ.Which of the following statements is (are) true?