Materials science: Relate resistivity and conductivity with a simple formula. Given the resistivity (ρ) of a material and its conductivity (σ), what is the correct mathematical relationship between these two properties? Choose the correct relation.

Q: Materials science: Relate resistivity and conductivity with a simple formula. Given the resistivity (ρ) of a material and its conductivity (σ), what is the correct mathematical relationship between these two properties? Choose the correct relation.

Given Material properties: resistivity (ρ) and conductivity (σ). Concept/Approach By definition, conductivity is the reciprocal of resistivity for homogeneous isotropic materials. Formula σ = 1 / ρ Final Answer σ = 1 / ρ.

Difficulty: Easy

σ = ρ
σ = 1 / ρ
σ = ρ²
σ = √ρ

Correct Answer: σ = 1 / ρ

Explanation:

Given
Material properties: resistivity (ρ) and conductivity (σ).

Concept/Approach
By definition, conductivity is the reciprocal of resistivity for homogeneous isotropic materials.

Formula
σ = 1 / ρ

Final Answer
σ = 1 / ρ.

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