In a circle the voltage drops across a resistor. This means that some electrons lost some of their electrostatic potential energy. Where does that energy go, and how? For potential energy to be lost work must be done opposite to the conservative force causing the potential energy. This implies that there is an acceleration – so my question is: Do electrons speed up or slow down because of a resistor?
E = resistivity x current density, meaning a higher resistivity implies a stronger electric field. The difference in electric field strength resulting from the difference in resisitivities causes a net force, meaning there is acceleration shortly, until the dragging force becomes equal and a new drift velocity is achieved. The drift velocity in a resistor is greater than in the surrounding wires.