Relationship between resistance, amperage, and propagation length of signal
If you force electrons into a metal, so an electron cloud, they will evenly distribute to reduce the gradient you just introduced, 

So if your sending in the same amount of electrons, Varying wire lenght will have them spread to a different ratio, but as that ratio is dependent on how many electrons are in that wire to begin with, the relationship is not linear, 

So the long wire would be something like "n Added / n Added + n wire length L"

And the short "n Added / n Added + 1/2 * n wire lenght L"