Write the relation between resistivity ($\rho$) and resistance ($R$) for a uniform metallic conductor of length ($l$) and area of cross-section ($A$). Use this relation to obtain the SI unit of resistivity.

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Relation between resistivity and resistance: The resistivity ($\rho$) of a material is related to its resistance ($R$), length ($l$), and cross-sectional area ($A$) by the formula: $$ R = \rho \frac{l}{A} $$ To find the SI unit of resistivity, we can rearrange the formula: $$ \rho = R \frac{A}{l} $$ The SI unit of resistance ($R$) is the ohm ($\Omega$), the SI unit of area ($A$) is the square meter ($\text{m}^2$), and the SI unit of length ($l$) is the meter ($\text{m}$). Therefore, the SI unit of resistivity is: $$ \Omega \, \text{m} $$

Write the relation between resistivity (\(\rho\)) and resistance (\(R\)) for a uniform metallic conductor of length (\(l\)) and area of cross-section (\(A\)). Use this relation to obtain the SI unit of resistivity.

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