A rectangular coil consisting of \(N\) turns of wire has width \(w\) and length \(L\), and carries a constant current \(I\). The coil is placed in a uniform magnetic field of magnitude \(B\) such that the plane of the coil is parallel to the magnetic field, as shown. A second rectangular coil consists of \(3N\) turns of wire, has width \(2w\) and length \(L/3\), and carries a current of \(I/2\) in the same uniform magnetic field. If the plane of the second coil is also parallel to the magnetic field, what is the ratio of the magnitude of the maximum magnetic torque on the second coil to that on the first coil, \(\tau_2 / \tau_1\)?