A conducting rod of length \(L\) moves at a constant speed \(v\) through a uniform magnetic field of magnitude \(B\), with its length perpendicular to both its velocity vector and the magnetic field. The induced electromotive force (EMF) across the ends of the rod is \(\mathcal{E}_0\). A second conducting rod of length \(2L\) moves at speed \(3v\) perpendicular to a uniform magnetic field of magnitude \(\dfrac{1}{2}B\). What is the induced EMF across the second rod?