* Drift Velocity: Electrons in a conductor don't travel in a straight line from one end to the other. They constantly collide with atoms in the material, changing direction. This random movement gives them a net "drift velocity," which is the average speed they move in the direction of the electric field.
* Current: The *current* (flow of charge) is directly proportional to the voltage and inversely proportional to the resistance (Ohm's Law: I = V/R). Increasing voltage increases the current, meaning more electrons are flowing through the conductor per second.
* Electron Density: The number of electrons per unit volume in a conductor is determined by the material itself. This density doesn't change with voltage.
Think of it like this:
Imagine a crowded hallway where people are trying to move through.
* Voltage: The higher the voltage, the stronger the "push" that makes people move faster (higher current).
* Distance: The distance people travel between collisions is determined by how crowded the hallway is (material properties), not how strong the push is.
Important Note: While the distance electrons travel between collisions doesn't change, the *speed* at which they drift does increase with voltage. However, this increase in drift velocity is usually very small compared to the random thermal motion of electrons.
In summary: Voltage influences the current (flow of charge) but not the distance individual electrons travel between collisions.