Inductor characteristics play a crucial role in smoothing rectified AC current, primarily through inductance, which resists changes in current flow. In addition to inductance, important factors include DC resistance (DCR), parasitic parallel capacitance, and saturation current. DCR is significant as it affects power loss during current ripple smoothing, necessitating the use of a sufficiently large inductor to minimize voltage drop. The inductor must also be large enough to avoid saturation under high current conditions. Understanding these characteristics is essential for effective filtering in rectifier circuits.