Question

How does changing the diameter of the wire affect the drift velocity of the electrons in the wire?​

Answer 1

Answer:

What would happen with the drift velocity of a cylindrical resistor's diameter increases, with a given voltage between its terminals? According to the expression:

RIΔVvd=ρLA=neAvd=IR=ΔVρLneR=ρLAI=neAvdΔV=IRvd=ΔVρLne

The resistivity does not change, neither does the length of the resistor nor the term nene but the resistance does change as well as the current, so the area is eliminated from the expression. I wonder if the drift velocity would be the same after increasing the diameter or if my derivation is wrong.