Electric Field and Potential in a conductor

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SUMMARY

The discussion centers on the electric field and potential within conductors, specifically addressing a confusion regarding the behavior of electric fields inside a uniformly charged spherical shell. According to Griffiths' "Introduction to Electrodynamics," the electric field (E) inside a conductor is zero due to the movement of free charges. However, the question posed involved calculating the electric field inside a uniformly charged spherical shell, which led to a non-zero electric field proportional to the inverse of the distance from the center. This contradiction arises because a uniformly charged shell is not a conductor, highlighting the need for clarity in distinguishing between conductive and insulating materials.

PREREQUISITES
  • Understanding of Gauss's Law
  • Familiarity with electric fields and potentials
  • Knowledge of conductive versus insulating materials
  • Basic concepts of electrostatics
NEXT STEPS
  • Review Gauss's Law applications in electrostatics
  • Study the properties of electric fields in conductors versus insulators
  • Explore the differences between uniformly charged spheres and spherical shells
  • Examine the implications of charge distribution on electric fields
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to clarify concepts related to electric fields and potentials in conductive and insulating materials.

bubblewrap
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So in my textbook (Introduction to Electrodynamics by Griffiths) it said that inside a conductor, the electric field E would have to zero, since if it wasn't the free charges would move accordingly and create a electric field that cancels the original field. But in a question that soon followed, it asked me to find the potential and electric field inside a uniformly charged spherical shell. This, according to the answers, which was very straightforward; using Gauss's law to calculate the electric field and so on; produced a electric field that was NOT 0 inside the conductor, rather something that was proportional to the inverse of the distance between the point of interest and the center of the sphere. Now these two obviously contradict each other, so I'm very confused right now.

Any help would be greatly appreciated. Thanks
 
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bubblewrap said:
But in a question that soon followed, it asked me to find the potential and electric field inside a uniformly charged spherical shell.
If it is uniformly charged then it is not a conductor. The proof is the very contradiction you noticed.
 
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Are you sure that is a shell and not an uniformly charged sphere? Or maybe a thick shell? What problem is that?
The field inside an uniformly charged thin shell is zero no matter if it's conductive or insulating.
 
bubblewrap said:
But in a question that soon followed,

I recommend posting the exact question word for word.
 
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