Gauss law and electric current

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SUMMARY

The discussion centers on Gauss's law and its implications for electric current in conductors. It clarifies that while extra charges accumulate on the surface of a conductor, current flows through both the surface and the interior of a conducting wire due to unbound electrons. The net charge within the wire remains zero, challenging the assumption of electrostatic conditions typically associated with Gauss's law. This understanding is crucial for accurately applying Gauss's law in dynamic electrical scenarios.

PREREQUISITES
  • Understanding of Gauss's law in electrostatics
  • Knowledge of electric current and charge carriers
  • Familiarity with the behavior of conductors in electric fields
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the relationship between electric fields and charge distribution in conductors
  • Explore the concept of unbound electrons in conductive materials
  • Investigate the implications of current flow in different conductor geometries
  • Learn about the limitations of Gauss's law in dynamic electric fields
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and electric current behavior in conductors.

hokhani
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According to the Gauss law, the extra charges gather on the surface of a conductor. When there is a current in a conducting wire, do the charges only move on the surface of the wire or we have current also inside the wire? If we also have current inside the wire how is it compatible with Gauss law?
 
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Gauss law by itself does not require the charges to move to the surface. You must also assume electrostatic conditions which of course isn't a valid assumption.
 
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The current in a conducting wire isn't from "extra charges", it's from unbound electrons. The net charge of a conducting wire is still zero.
 
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