Electric field inside a uniformly charged solid sphere .

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SUMMARY

The electric field inside a uniformly charged solid sphere increases linearly with distance from the center, contrary to the behavior of a hollow sphere or charged ring. This phenomenon occurs because, in a uniformly charged non-conducting sphere, the charge distribution is uniform throughout the volume, leading to a non-zero electric field within the sphere. In contrast, for a conducting sphere, all charges reside on the surface, resulting in an electric field of zero inside. Understanding these distinctions is crucial for grasping electrostatics principles.

PREREQUISITES
  • Understanding of electrostatics principles
  • Familiarity with electric field concepts
  • Knowledge of charge distribution in conductors vs. non-conductors
  • Basic grasp of vector calculus for electric field calculations
NEXT STEPS
  • Study the derivation of electric fields for uniformly charged spheres
  • Learn about Gauss's Law and its application to spherical charge distributions
  • Explore the differences between conductors and insulators in electrostatics
  • Investigate the concept of electric field lines and their significance
USEFUL FOR

Students of physics, educators teaching electrostatics, and anyone interested in understanding electric fields in charged objects.

hangainlover
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Homework Statement


It is just a conceptual question.
I learned that all charges tend to move toward outer surface, meaning all the charges of the solid sphere will be on the surface of the solid sphere.
Then, why is it that the electric field increases linearly with distance? shouldn't it be just 0? the same as hollow sphere or a charged ring.



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The Attempt at a Solution

 
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all the charges of the solid sphere will be on the surface of the solid sphere
provided the sphere is a conductor. For uniformly charged non-conducting sphere, the electric field in side the sphere increases linearly with distance from the center.
 

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