How to Calculate electron temperature of Arc Plasma?

[akansh_karthik_1]

TL;DR

How to calculate the electron temperature (Te) of an arc plasma with moving through air with current I, and voltage V

I am trying to calculate the spitzer resistivity of an arc discharge plasma and I have not been able to figure out how to calculate electron temperature (Te). What is the formula / method of getting this value? How does electron temperature vary in relation to current and voltage moving through the plasma.

 

[berkeman]

What sources have you been looking through? I did a Google search on electron temperature of plasma arc and got lots of good hits. One of the first ones was a Wikipedia article on Plasma Arc Welding.

 

[akansh_karthik_1]

Most of the sources that I have found talk about measuring electron temperature through instruments not through some sort of mathematical approach or law.