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The resistance of a resistor will be numerically equal to its resistivity when the resistor's dimensions (length and cross-sectional area) are such that the resistance ( R ) is calculated using the formula ( R = \frac{\rho L}{A} ) and the units align accordingly. Specifically, this occurs when the length ( L ) of the resistor is equal to its cross-sectional area ( A ). In such a case, ( R ) would equal ( \rho ) if they are expressed in compatible units.

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3mo ago

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