My friend quit while you are behind, ohms law has EVERYTHING to do with resistance. Resistance is to do with the conductor material not the electrons...
Resistance is definitely measurable over a distance of 3m just like it is over 3km.
If you pass the same current though say a 10ga cable and a 0ga cable the 10ga cable WILL run hotter than the 0ga, it is called ohms law!
The only thing that have got right is the electromagnetic field part.....

lol mate im not behind,

then y does a 2g single core cable have 0.0007ohms per/m resistance ?

maby because the atoms in the copper colide causing heat an resistance, minimal but none the less resistance

Check out here: http://www.interfacebus.com/Copper_Wire_AWG_SIze.html

Copied parts to make it even easier...

(divide by 304.8 to get ohms per metre)

Would you look at that, the thinner the cable (higher AWG numbers) the more resistance it has. This is measured in linear 1000 feet.

You simply can't current more current along higher resistance (smaller) cable - it's wasteful. That's why electric companies distribute electricity along the BIG power lines at 30,000v (or 110,000v) and a low amperage. The resistance of the power lines, takes from the voltage (but that's ok, we've got heaps there so a little loss isn't so bad).

Atz88, I don't know where you're getting your info from, but go elsewhere it's WRONG -always has been always will be. The more atoms idea is wrong, more atoms means more electrons = less resistance to the flow of electricity (electrons).

So Atz

"lol mate im not behind,

then y does a 2g single core cable have 0.0007ohms per/m resistance ?

maby because the atoms in the copper colide causing heat an resistance, minimal but none the less resistance"

What is your point of course there is resistance in 2ga cable, all cable does but where your problem is that you haven't included the resistance of a smaller cable.
But I guess that you wouldn't want to include that small detail as it would prove that you have absolutely no idea of what you are talking about.
As Data_mine asked where are you getting this info from? Is it from your school teacher?

According to a chart I found on wikipedia showing the diameters in awg and there approximate real cable sizes in mm 2ga has a resistance of 0.0005 ohms/m and 10ga has a resistance of 0.0037 ohms/m so how does that fit with your "theory"?