Find the electric field magnitude in each region.

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SUMMARY

The discussion focuses on calculating the electric field magnitude in different regions surrounding a spherical cavity within a charged shell. It establishes that the electric field inside the cavity is zero due to no charge being enclosed. For the region between the cavity and the outer shell, participants recommend integrating the charge density up to the radius of interest. Outside the sphere, the total charge enclosed is determined by integrating the charge of the entire shell while excluding the cavity.

PREREQUISITES
  • Understanding of Gauss's Law
  • Familiarity with electric field concepts
  • Knowledge of charge density integration
  • Basic calculus skills for integration
NEXT STEPS
  • Study Gauss's Law applications in electrostatics
  • Learn about charge density and its implications in electric fields
  • Explore integration techniques for calculating electric fields
  • Review examples of electric fields in spherical geometries
USEFUL FOR

Physics students, electrical engineers, and anyone studying electrostatics or electric field calculations will benefit from this discussion.

Joa Boaz
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Spherical Shell.png


So far, this is what I have. Now I tried to make as a nice as I could but for some reason every time I attempted to save on a PDF file, I find some missing fonts. This one seems to be okay. But question is what am I to do with the rho outside of the cavity.

In&Out.png
 
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Inside the cavity the electric field is 0, no charge enclosed. between the cavity and the outer shell, integrate the charge density to the radius you are calculatina, i.e. some r. Outside the sphere, just integrate the entire shell minus the cavity to calculate the entire charge enclosed.
 

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