Gaussian surfaces: Electric Field=zero

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SUMMARY

A Gaussian surface within a conductor exhibits an electric field of zero due to the behavior of free charges in electrostatic equilibrium. When an external electric field is applied, free electrons within the conductor move, creating a secondary electric field that opposes the applied field. This charge separation continues until the internal electric field is neutralized, resulting in no net electric field inside the conductor. Gauss's law confirms this by demonstrating that the electric field inside a conductor is zero when evaluated over an internal Gaussian surface.

PREREQUISITES
  • Understanding of Gauss's Law
  • Knowledge of electrostatic equilibrium
  • Familiarity with conductors and free charge movement
  • Basic principles of electric fields
NEXT STEPS
  • Study Gauss's Law in detail, focusing on its applications in electrostatics
  • Explore the concept of electrostatic equilibrium in conductors
  • Investigate the behavior of electric fields in various materials
  • Learn about charge distribution on conductors under different conditions
USEFUL FOR

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

ichigo444
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Please explain to me in detail why a gaussian surface within a conductor has an electric field of zero? thanks.
 
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ichigo444 said:
Please explain to me in detail why a gaussian surface within a conductor has an electric field of zero? thanks.

Because charge goes on the surface of a conductor in electrostatic equilibrium. Using Gauss law with an internal gaussian surface will show that the electric field is 0 inside a conductor.
 
ichigo444 said:
Please explain to me in detail why a gaussian surface within a conductor has an electric field of zero? thanks.

A conductor is a material where the charges are free to move throughout the material bulk. This results in a self-correcting behavior because if we were to apply a static electric field across a conductor, the electric field separates the negative electrons from the positive (largely) immobile ions in the material. The separation of the charges creates another secondary electric field that will oppose the applied field. The natural movement is thus that the charges will arrange themselves such that no net field exists inside the conductor. Because if there was a net field, more charges would be moved about that would create a secondary field that further decreased the net field. In the end, the equilibrium of no net field is reached.
 

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