Electrons flow through conductive wires as "free electrons" that move uniformly within the metal, influenced by an applied voltage that creates an electric field. This electric field pushes electrons toward the positive end, causing them to gain speed and heat the surrounding atoms, which results in electrical resistance. The discussion highlights that thinner wires conduct worse than thicker ones due to fewer electrons needing more speed to maintain the same current, leading to greater energy losses. Additionally, the "skin effect" affects electron distribution in alternating currents, particularly at high frequencies, while the curvature of a wire influences electron flow, with more electrons passing near the center of curvature. The conversation also touches on the magnetic properties of different wire materials, noting that the magnetic field remains largely unchanged between iron and copper coils.