Current remains constant through series resistors because there is only one path for the flow of electrons, similar to water flowing through a series of pipes. While each resistor does cause a voltage drop, it does not reduce the current; instead, it affects the overall voltage in the circuit. The hydraulic analogy illustrates that as resistance increases, more effort (voltage) is needed to maintain the same current flow. Resistors convert the kinetic energy of electrons into heat through collisions with the material, which is described by the Drude model. Understanding these principles clarifies why current remains the same in a series circuit despite the presence of resistors.