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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