So, I thought I had an understanding of Ohm's law, but after thinking deeply about it, the direct proportionality between voltage and current doesn't make a lot of intuitive sense to me.
So, when I first learned about circuits, voltage in a circuit was compared to the height of a waterfall. However, according to Ohm's law, given a constant resistance, increasing voltage should increase current. But with the waterfall analogy, it doesn't make sense that a higher height would make more water flow per second. Simply making the waterfall taller shouldn't make water fall from the top any faster than it would if it were shorter. Also, the greater height giving the water more time to accelerate to a faster final velocity also shouldn't make for more current, because wouldn't that mean the individual water droplets would get more and more spaced out as they fell, so the amount of water passing a point per second would stay the same since the higher velocity of the water droplets is counteracted by a greater distance between them? So, why does simply increasing the difference in how much potential energy a coulomb of charge has between two points increase the amount of charge passing between those two points? I am having a bit of trouble wrapping my head around this, and I would greatly appreciate an intuitive answer to help me fully understand Ohm's law.