electricity - If Resistivity = $frac{RA}{L}$, why does it not depend on dimension?

Friday, July 31, 2015

electricity - If Resistivity = $frac{RA}{L}$ , why does it not depend on dimension?

The formula for resistivity is:

$\rho = \frac{RA}{L}$ where

$\rho$ is resistivity,

$R$ is resistance,

$A$ is cross-sectional area, and

$L$ is the length of the conductor.

We can see from the formula that $A$ and $L$ are involved, why then does resistivity not depend on dimensions?

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