Electric currents do not become zero in different reference frames, even if one moves at the drift speed of electrons. While conduction electrons may appear stationary in one frame, the positive charges in the wire are still moving, affecting the overall current. The concept of four-current density is crucial, as it transforms according to relativistic principles and includes both charge and current density. In frames where the charge density is zero, the current density is minimized, but it remains greater than zero in all other frames due to relativistic effects. The discussion emphasizes the importance of considering both bulk and surface charge densities in understanding the behavior of electric currents in different frames.