Does the Drude model predict the emission of em waves?

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SUMMARY

The Drude model of electrical conduction describes charge carriers being accelerated by an electric field and interacting with lattice ions. While the model suggests that unbound charged particles emit electromagnetic waves when accelerated, it does not predict the emission of EM waves during a steady current flow in a circuit. The model primarily focuses on explaining electric current rather than electromagnetic radiation. In practice, the energy radiated due to bremsstrahlung is negligible because the accelerations of free electrons are not significant compared to those of high-energy electrons, such as those in X-ray machines.

PREREQUISITES
  • Understanding of the Drude model of electrical conduction
  • Knowledge of electromagnetic wave emission principles
  • Familiarity with bremsstrahlung radiation
  • Basic concepts of electron dynamics in conductive materials
NEXT STEPS
  • Research the limitations of the Drude model in predicting electromagnetic wave emission
  • Study the principles of bremsstrahlung radiation in detail
  • Explore the relationship between drift velocity and random electron motion
  • Investigate the differences in electron speeds between room temperature and high-energy environments like X-ray machines
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism and electrical conduction who seek to understand the implications of the Drude model on electromagnetic wave emission.

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The Drude model of electrical conduction has the charge carriers being accelerated by an electric field and then interacting with the lattice ions. The cycle is then repeated.
An unbound charged particle if accelerated emits electromagnetic waves.
Does that mean that a prediction of the Drude model is that when a "steady" current flows in a circuit electromagnetic waves will be emitted and does that happen in practice?
 
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Something to bear in mind is that the drift velocity is superimposed on a far larger random velocity. The acceleration of free electrons when they hit ions (in a Drude type model) will be present whether or not a current is flowing. Presumably there should be bremsstrahlung; I can only assume the energy radiated is insignificant because the accelerations aren't large enough; the thermal speeds of electrons at room temperature are in the order of 105 m s-1 whereas 100 keV electrons in an X-ray machine have speeds of greater than 108 m s-1.
 
The drude model itself doesn't predict the emission of EM waves, it's just trying to explain electric current. But the more general rules of electromagnetism do.
 

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