How do we explain electrical resistivity and heat.

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SUMMARY

The discussion centers on the inadequacies of classical theories in explaining electrical resistivity and heat generation in resistors. Classical physics predicts that high-speed electron collisions and slow drift of electrons lead to resistivities that are significantly higher than observed. Quantum physics provides a more accurate model, aligning closely with experimental results. The conversation also touches on the specific case of tungsten, which has a resistivity only 3.3 times that of copper, yet generates significant heat, particularly in thin filament applications due to its geometry and the principles of resistance defined by R = ρ[l/A].

PREREQUISITES
  • Understanding of electrical resistivity and Ohm's Law
  • Familiarity with classical and quantum physics concepts
  • Knowledge of the relationship between resistance, resistivity, length, and cross-sectional area (R = ρ[l/A])
  • Basic principles of electron behavior in conductive materials
NEXT STEPS
  • Explore quantum mechanics principles related to electron behavior in conductors
  • Research the thermal properties of materials, focusing on tungsten and its applications in filaments
  • Study the impact of geometry on resistance and heat generation in electrical components
  • Investigate advanced theories of electrical conduction beyond classical models
USEFUL FOR

Physicists, electrical engineers, materials scientists, and anyone interested in the fundamental principles of electrical resistivity and heat generation in conductive materials.

Naty1
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I was looking in my old physics text in connection with another thread and the text said high speed electron collisions and slow speed drift of electrons with an applied electric field don't explain resistivity very well...yielding resistivities 100 times or more than observed.

The electrons do not make as many collisions as classical theory predicts. Theories based on quantum physics agree well with experiment. Classical theory predicts correctly that metals obey ohms law, buit cannot rpedict the numerical value of resistivity.

For a plain old resistor, not an exotic semiconductor or such, what's an explanation resistance and associated electrical heating?

Also, I noticed tungsten has only 3.3 times the resistivity of copper...so why does it get so hot?? Basically because we make it so thin in filament bulbs? R = p[l/A]??
 
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I should have added "classical explanations of " to my post:
and the text said classical explanations of high speed electron collisions and slow speed drift of electrons...

It seems that normal high speed electron collisions continue to occur (this would be a classical view) when an electric potential is applied and a slow speed electron drift results from the applied potential...but there must be something that changes dramatically when a potential is applied as significant heat is typically produced. Maybe electrons are being knocked further out of their typically stable orbits in a resistor? and give off radiation (heat) as they return to lower energy orbits??
 
This looks like what I was trying to figure out...will log it here for future reference:

http://tau.nanophys.kth.se/cmp/hall/node1.html
 
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