The unit of resistance ($R$) is Ohm ($\Omega$). The unit of area ($A$) is typically square meters (m²) or square centimeters (cm²). The unit of length ($L$) is typically meters (m) or centimeters (cm). Substituting these units into the formula for $\rho$: $\text{Units of } \rho = \Omega \times \frac{\text{cm}^2}{\text{cm}} = \Omega \cdot \text{cm}$. Alternatively, using meters: $ \text{Units of } \rho = \Omega \times \frac{\text{m}^2}{\text{m}} = \Omega \cdot \text{m}$. Therefore, the resistivity is commonly expressed in ohm-centimeters ($\Omega \cdot \text{cm}$) or ohm-meters ($\Omega \cdot \text{m}$).
The resistivity $\rho$ of a material may be expressed in units of
Asked in UPSC CDS 1 2020 · Topic: Measurement/Unit (Derived Units and their Expression)
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