On a horizontal plane with a uniform magnetic field of magnetic flux density B directed vertically upward, two sufficiently long parallel metal rails are fixed at an interval of L. A capacitor of capacitance C (initially uncharged) is connected at the left end of the rails.
A metal rod of mass m is placed perpendicular to the rails, and at time t=0 it is given an initial velocity v0 to the right. The metal rod moves smoothly while remaining perpendicular to the rails. The electrical resistance of the entire circuit and the friction between the rod and rails are all negligible.
After sufficient time has passed, the velocity of the metal rod asymptotically approaches a constant value vf. Find this final velocity vf.
Find the final speed vf of the metal rod in m/s and give the answer as a positive integer.