Unless you're trying to tell me that the amperage is simply a measurement of the flow...

Amperage and voltage are both measurements of properties of the electricity.

To continue the analogy, amperage, yes, is simply a measurement of the flow, just as voltage is just a measurement of the pressure on the water at a certain point.

[Amperage is] not related to the water pressure at all.

Well, indirectly, yes, it is. The more water pressure (voltage) the higher the rate of flow (amperage), given a constant resistance to flow. What is hard to see at first is that all three factors are related, based on the equation V = I * R.

Look at that equation for a second, and notice how changing one factor affects the others.

For example, if you were to make the hole smaller (increase R) you'd decrease flow (I) given the same pressure (V) on the water at the hole.

But if you were to pour the correct amount of water in, increasing the pressure at the hole (V), then you could increase flow (I) back to the same rate before the hole became smaller.

Thus any factor is determined by both other two.

Any clearer at all?

John