Consider an infinitely long wire in the form of y2=4cx, which is in a stationary state. Another infinitely long wire parallel to the y-axis starts moving with an initial velocity of zero at t=0 from the initial position at x=0 with acceleration a ax. Assuming a magnetic flux density (magnetic induction) of B=B0 az throughout the region, determine the induced electromotive force on the moving wire as a function of time using Faraday's law.

A rod with mass m = 0.720 kg and radius r = 6.00 cm rests on two parallel rails, as shown in the figure. The rails are separated by a distance d = 12.0 cm and have length L = 45. cm.The rod carries a current I = 48.0 A in the direction shown in the figure and rolls on the rails without slipping. There is a uniform magnetic field of magnitude B = 0.240 T perpendicular to the rails and the rod. If the rod starts from rest, what is its speed when it leaves the rails?