Voltage dividers and current dividers operate based on the principles of Ohm's Law and the distribution of electrical potential and current in circuits. A voltage divider uses resistors in series to split voltage, with the output voltage determined by the ratio of the resistances. In contrast, a current divider uses parallel resistors to distribute current, where the current through each branch is inversely proportional to its resistance. The physical explanation involves the interaction of electric fields and the movement of charge carriers, which create potential differences and influence current flow. Understanding these concepts is essential for grasping how electrical circuits function.