How does the dielectric affect the charge distribution on a charged sphere?

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SUMMARY

The discussion focuses on the impact of dielectric materials on charge distribution in a charged sphere. The key equations referenced include the integral form of Gauss's law, specifically ∫D_perpendicular ds = q_enclosed, and the relationship D = ε0E + P, where D represents electric displacement, ε0 is the permittivity of free space, E is the electric field, and P is the polarization density. The participants explore how to calculate the electric displacement D2 within the dielectric, emphasizing the need to understand the dielectric's influence on charge distribution.

PREREQUISITES
  • Understanding of Gauss's Law and electric displacement fields.
  • Familiarity with dielectric materials and their properties.
  • Knowledge of electric field concepts and polarization.
  • Basic calculus for integrating electric fields.
NEXT STEPS
  • Study the effects of different dielectric constants on charge distribution.
  • Learn about the relationship between electric field strength and dielectric materials.
  • Explore advanced applications of Gauss's Law in electrostatics.
  • Investigate numerical methods for calculating electric fields in complex geometries.
USEFUL FOR

Physics students, electrical engineers, and anyone studying electrostatics or the behavior of dielectrics in electric fields.

Apashanka
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Homework Statement


IMG_20190114_112104.jpg
[/B]

Homework Equations

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∫Dperpendiculards=qenclosed freecharge
D=ε0E+P

The Attempt at a Solution


D1+D2=q/2πr2
at a distance r from the centre
How to find D2 which is at the lower boundary e.g inside the dielectric??
 

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Think about how, if any, would the dielectric change how the charge is on the sphere.
 

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