Hi,
There's something about electricity that I don't really understand. Imagine we have a wire whose diameter gradually decreases as you go along (i.e. it gets thinner). The smaller the cross-sectional area, the higher the resistance, but the current remains the same.
What I'm struggling to understand is how the current could possibly remain the same throughout the circuit. Intuitively, there are more electrons in the thicker sections of the wire, and fewer electrons in the thinner sections of the wire. If current is the rate of flow of electrons, how can it be the same in the thinner sections if there aren't as many electrons that can occupy the spaces between the metal ions? Do the electrons move faster in the thinner sections? If so, why does that mean that resistance increases...?
Sorry, I'm just really confused...!
Thanks!