Say we have a simple circuit with three resistors in series, each of which have the same resistance. We also have a battery with a given constant potential difference hooked up in series with these resistors.
According to Ohms law and Kirchhoff's law, the current passing through each of the resistors will be
Determined by the sum of the resistances of the resistors (V/(Total R) = I)
Constant, as there is only a potential difference drop for each resistor in series.
So the amount of charge passing through each resistor is always constant, just like water flowing through pipes.
But the "pressure" on these electrons decreases- meaning that the amount of energy each electron has is reduced, part of their energy converted into energy for the element that the resistor represents to use (electrons doing work.)
So logically, this should mean that the speed of each electron is reduced, and that extra energy they once had in kinetic energy is the energy used on the element.
So if this is the case, how is it possible that Current stays constant? Yes, by the definition Q/t current is constant because the number of electrons passing through a point is the same, but by the more involved definition I=nqAV, current is reduced because the drift velocity must be reduced, or else no work could be performed.
Where is my intuition wrong?