Two parallel, horizontal conducting rails with negligible resistance are separated by a distance \(L\) in a uniform magnetic field \(\vec{B}\) directed into the page. Two identical conducting rods are placed perpendicular to and across the rails, forming a single closed rectangular loop. In Case 1, the two rods move toward each other, each at a constant speed \(v\) relative to the rails. In Case 2, both rods move to the right at the same constant speed \(v\) relative to the rails. Which of the following correctly gives the magnitude of the net induced electromotive force (emf) around the loop for Case 1 and Case 2?