How to Calculate electron temperature of Arc Plasma?

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SUMMARY

The discussion focuses on calculating the electron temperature (Te) of arc discharge plasma, specifically through the context of Spitzer resistivity. The user seeks a mathematical method to determine Te, noting that most available sources emphasize measurement techniques rather than theoretical calculations. Key references include a Wikipedia article on Plasma Arc Welding, which provides foundational knowledge but lacks detailed formulas. Understanding the relationship between electron temperature, current, and voltage in plasma is crucial for accurate calculations.

PREREQUISITES
  • Understanding of Spitzer resistivity in plasma physics
  • Familiarity with the principles of arc discharge phenomena
  • Knowledge of plasma diagnostics and measurement techniques
  • Basic grasp of electrical current and voltage relationships in plasma systems
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  • Research the mathematical models for calculating electron temperature in plasmas
  • Explore the Spitzer formula for resistivity in detail
  • Study the effects of current and voltage on electron temperature in arc discharges
  • Investigate advanced plasma diagnostic techniques for measuring Te
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Researchers, physicists, and engineers working in plasma physics, particularly those involved in arc discharge applications and plasma diagnostics.

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

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