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## Homework Statement

In metals the resistivity ρ is constant and the resistance R is fixed and doesn't depend on the current, but when i insert the equation of ρ into R i do get a dependence.

## Homework Equations

Resistivity is field E divided by current to area: ##\rho=\frac{E}{i/A}##

Resistance: ##R=\frac{\rho L}{A}##

## The Attempt at a Solution

$$R=\frac{\rho L}{A}=\frac{E\cdot L}{i}$$