By definition, conductivity is the reciprocal of resistivity ($\sigma = 1/\rho$). Therefore, the product of conductivity and resistivity is always equal to 1 ($\sigma \times \rho = (1/\rho) \times \rho = 1$). This relationship holds true for all materials, regardless of whether they are conductors, insulators, or semiconductors, and it is independent of the physical conditions like pressure or the current flowing through the conductor (assuming the material obeys Ohm's Law).
The product of conductivity and resistivity of a conductor
Asked in UPSC NDA 1 2015 · Topic: Conductivity (Electrical Conductivity and Resistivity: Definitions, Units, and Ohm's Law)
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