Find the electric field magnitude in each region.

AI Thread Summary
The discussion focuses on calculating the electric field magnitude in different regions surrounding a cavity within a charged shell. It is noted 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 suggest integrating the charge density up to the radius in question. Outside the sphere, the entire charge of the shell minus the cavity must be integrated to determine the total charge enclosed. The conversation highlights the importance of correctly handling charge density and integration to find the electric field in each specified region.
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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