How does the electric field affect the resistance?

Before answering I'm deriving a formula for resistance

Let

v = (drift) velocity of electron

V = potential across material

n = no. of free electrons in a unit volume of material

A = cross sectional ares of material

e = charge on electron

E = Electric field intensity

m = mass of electron

L = length of material;

Current, I = nAev

v = Ee/m

E = V/L

I = Ane²E/m

R = V/I

R = mV/Ane²E

So you can see resistance is inversely proportional to Electric field intensity.

It doesn't.