A conducting rod of mass \(m\) and length \(\ell\) moves without friction along two parallel horizontal conducting rails separated by a distance \(\ell\) in a uniform, vertical magnetic field of magnitude \(B\). A resistor of resistance \(R\) connects the rails, and a constant external horizontal force of magnitude \(F_0\) pulls the rod away from the resistor, yielding the equation of motion \(m \dfrac{dv}{dt} = F_0 - \dfrac{B^2 \ell^2}{R}v\). As the rod accelerates from rest, its speed approaches a terminal speed \(v_T\). Which of the following statements correctly describes the physical behavior of the system in the specified limit?