Electric field in a couple of different cases

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SUMMARY

The electric field inside a solid charged conducting sphere is definitively zero due to charge distribution. In contrast, the electric field within a uniformly charged nonconducting sphere is nonzero and varies at all points. For a charged conducting spherical shell, the electric field remains zero at all points inside the shell, while a non-uniformly charged nonconducting spherical shell can exhibit a nonzero electric field. When a point charge is placed inside a neutral conducting spherical shell, the induced charge distribution on the shell's inner surface becomes nonuniform, resulting in a nonzero electric field in the hollow region.

PREREQUISITES
  • Understanding of electrostatics principles
  • Familiarity with Gauss's Law
  • Knowledge of charge distribution in conductors and insulators
  • Concept of electric field lines and their behavior in different materials
NEXT STEPS
  • Study Gauss's Law applications in electrostatics
  • Explore the concept of electric field in nonconducting materials
  • Investigate induced charge distribution in conductors
  • Learn about the behavior of electric fields in spherical geometries
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Students of physics, electrical engineers, and anyone interested in understanding electrostatic fields and charge distributions in various materials.

LiftHeavy13
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the electric field inside a solid charged conducting sphere is always zero for obvious reasons.



the electric field inside a solid uniformy charged nonconducting sphere is nonzero and varies at all points. since it's nonconducting, the electric field at a certain point still won't move charge.


the electric field inside of a non uniformly charged nonconducting spherical shell is not always zero.

the electric field inside a charged conducting spherical shell is zero at all points due to symmetry

what about the electric field inside of a neutral conducting spherical shell that has a point charge placed inside but NOT in the center... would the electric field then still be zero inside the shell? would the shell's induced charge distribution be, then, nonuniform? i can't seem to get a straight up answer with any sort of explanation from any of my resources.
 
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LiftHeavy13 said:
the electric field inside a solid charged conducting sphere is always zero for obvious reasons.

the electric field inside a solid uniformy charged nonconducting sphere is nonzero and varies at all points. since it's nonconducting, the electric field at a certain point still won't move charge.

the electric field inside of a non uniformly charged nonconducting spherical shell is not always zero.

the electric field inside a charged conducting spherical shell is zero at all points due to symmetry

what about the electric field inside of a neutral conducting spherical shell that has a point charge placed inside but NOT in the center... would the electric field then still be zero inside the shell? would the shell's induced charge distribution be, then, nonuniform? i can't seem to get a straight up answer with any sort of explanation from any of my resources.
What do you mean by "inside the shell" ?

The field inside of the inner surface of the shell (in the hollow region) is definitely not zero.

If you mean within the conducting material of the shell itself, then yes the electrical field is zero. The induced charge on the inner surface of the shell must produce a field such the the sum of that field, plus the field produced by the isolated charge is zero at any point exterior to the3 inner surface. That hopefully will convince you that the induced charge on the inner surface is not distributed uniformly.
 

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