Im currently a senior in highschool. So I know that voltage is the potential difference per unit charge, or from my understanding the work done to move a unit charge from point a to point b without any acceleration. Current is simply the # of Coulombs that pass through a point in the circuit over time. Resistance restricts the coulombs that is able to pass through it. Why is it that higher voltage leads to higher current when the load resistance is constant? Teachers often talk about voltage as potential energy, but isnt the voltage just the work done to move a unit charge between two points. The only way that this makes sense to me is if I think about resistance as the electrons completely stopping or stop at some arbitrary point, and so voltage accelerates these electrons to speed v. And speed v gives you the current.
How does this all tie in with voltage drop? So is it that we say that work is used up? So if we have a current I where the electrons are moving at speed v, do we say that larger resistances "use up" the voltage, while smaller resistances "use less" because the smaller resistances decelerate the electrons less than the larger resistances?
No (water) analogies in your response please. Sorry for the noooby question.