Resistivity, exponential function of T


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

Mathematical model

The resistivity is an exponential function of the temperature.

The corresponding mathematical formula is written:


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

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

Anisotropic material

For an anisotropic material, the exponential model consists of a group of three exponentials.