Electric flux inside a conductor

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SUMMARY

The discussion centers on the concept of electric flux within a solid conductor. It is established that when a Gaussian surface is placed inside a conductor, the electric flux through that surface is zero due to the absence of an electric field within the conductor. This conclusion aligns with the principles outlined in textbooks, emphasizing that charges within a conductor redistribute themselves to eliminate any internal electric fields, thereby confirming that the electric field inside a conductor is always zero.

PREREQUISITES
  • Understanding of Gaussian surfaces in electrostatics
  • Familiarity with the properties of conductors in electrostatic equilibrium
  • Knowledge of electric fields and flux concepts
  • Basic grasp of Ohm's Law and its implications in electrostatics
NEXT STEPS
  • Study the concept of electric fields in conductors and insulators
  • Explore Gauss's Law and its applications in electrostatics
  • Investigate the behavior of charges in electrostatic equilibrium
  • Learn about the implications of Ohm's Law in static and dynamic electric fields
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in understanding electrostatics and the behavior of electric fields within conductors.

Ibraheem
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Hello,

If we have a solid conductor with all of its charge on its surface, and we then enclose some its charge with a gaussian surface that goes inside the solid conductor, will the part of the gaussian surface within the conductor have any electric flux? My textbook says it will have zero electric flux since the electric field inside any conductor is zero, but I still find hard to accept this since the enclosed charge will have electric field pointing toward the inside of the solid conductor.I have attached an image of a situation for a thick uniformly, positively charged conducting plate.(note: I did not include the charges on the other sides of the plate)
 

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Hi Ibraheem,

If there would be a field inside the conductor, charges would simply move with that field until the field reaches a zero value. So the book is right: a conductor means no resistance means no field. In a way it is Ohm's law !
 

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