Well the current density is indeed proportional to the diameter of he wire or conductor it is going through , but explain then DrZoidberg what causes the loss of current in long transmission lines where the effects are measurable and also in every other conductor component even though usually they are too short to measure such a small loss.
Now if the current stays the same as you say then why do all the transmission line and power station operators try so hard to keep the lines as short as possible and if not short then atleast with high voltage so that the current could be decreased and the loss from transfer minimized?
Maybe I'm getting you wrong here but according to what I read I could conclude that after 2000 miles of wire the current would be the same as at the input? But this clearly is not the case.It is not the case because every wire if not superconducting is a resistor , a small one but it has resistance and that resistance takes away the potential of each electron slowly over distance and so every next one can create a lower em field which indeed has less power to push the electricity forward.
Electricity is like the dominos , when you start the dominos from one end they fall quite slowly until they reach the end of the line and so does electrons flow slowly in a DC circuit and they have no net movement in an AC one but now imagine the dominos being pushed not by the one before the one that fell but by an unseen force which travels much much faster han the dominos themselves so that every next dominos can "fall" before the last one has even touched the next one physically and that is the photon of the EM field.
Whoever said here in this thread that the speed of electricity is slow is wrong the speed of electricity through perfect vacuum would be hat of the speed of light or c. In a copper cable it is something like 95%, according to a fast google search.But I believe the figure should be about right.