Resistivity, linear function of T


This model defines a resistivity ρ as a linear function of the temperature for an isotropic or anisotropic material.

Mathematical model

Resistivity is a linear function of the temperature.

The corresponding mathematical formula is written:

ρ (T)= ρa(1+a(T - T0))


  • T0 is the reference temperature [degree]
  • ρa is the resistivity of the material at T0 [Ω .m]
  • a is a coefficient (positive or negative) [degree-1]

The shape of ρ(T) curve is presented in the figure below.

Anisotropic material

For an anisotropic material, this linear model consists of a group of three straight lines.