Resistivity in terms of temperature coefficient of resistance R = R 0 </msu

Yasmine Larson

Yasmine Larson

Answered question

2022-05-14

Resistivity in terms of temperature coefficient of resistance
R = R 0 ( 1 + α ( T T 0 ) )
Where R 0 and T 0 are the reference resistance and temperature.
Is it then safe to say that:
ρ = ρ 0 ( 1 + α ( T T 0 ) )
(where ρ 0 is the reference resistivity)?

Answer & Explanation

Jaylon Richmond

Jaylon Richmond

Beginner2022-05-15Added 10 answers

Yes; under the relationship R = ρ L / A, the two expressions are equivalent for a given geometry. Resistivity generally depends on temperature in a complex way, but for small temperature differences, this dependence is approximately linear, as captured by the coefficient α. All resistivity values for materials (should) include a reference temperature because of this temperature sensitivity.

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