Sphere with dipole in a dialectric

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SUMMARY

The discussion centers on evaluating the electric field of a hollow sphere containing a dipole in a dielectric medium. The terms $$\alpha \vec{p}$$ and $$\beta$$ are introduced to describe the electric field behavior inside and outside the sphere, respectively. Participants express confusion regarding the polarization of the dielectric and the implications of the hollow nature of the sphere on charge distribution. The reference provided offers additional insights into the electric field generated by dipoles, which is crucial for understanding the problem.

PREREQUISITES
  • Understanding of electric fields and dipoles
  • Familiarity with dielectric materials and their properties
  • Knowledge of polarization effects in dielectrics
  • Basic proficiency in electromagnetism equations
NEXT STEPS
  • Study the derivation of electric fields from dipoles in dielectric materials
  • Learn about the mathematical representation of polarization in dielectrics
  • Explore the concept of charge distribution in hollow conductors
  • Review the application of the electric field equations in practical scenarios
USEFUL FOR

Students and professionals in physics, particularly those focusing on electromagnetism, dielectric materials, and electric field analysis. This discussion is beneficial for anyone tackling problems related to dipoles in dielectric environments.

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Homework Statement


Evaluate the electric field of a hollow sphere with a dipolo , in a dialectric. See left figure..

Homework Equations


$$\alpha \vec{p}$$

The Attempt at a Solution


I don't understad why at the field electric "in" there is a term of form $$\alpha \vec{p}$$ , and term $$\beta$$ "out.

I thinking that the dialectric is polarized and create a field electric as the right figure, but i don't sure...
 

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Hello, do you know what alpha and beta are expected to be? Also, is there a charge distribution inside the sphere? I suppose not if it says that the sphere is hollow. I think that you might find this useful to explain the extra term: http://www.physicspages.com/2012/04/02/electric-field-of-a-dipole/
 

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