What is the Volume Charge Density in the Region with Given Electric Field?

AI Thread Summary
The discussion revolves around calculating the volume charge density in a region defined by a specific electric field given in spherical coordinates. The electric field components are Er=2ACos(θ)/r^3, Eθ=Asin(θ)/r^3, and Eψ=0, with A being a constant. Participants express confusion regarding the interpretation of the electric field and its relationship to charge density. The key suggestion is to consider the divergence of the electric displacement field, div(D), as a method to find the volume charge density. Understanding this relationship is crucial for solving the problem effectively.
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Homework Statement



An electric field in the region r>a is given by Er=2ACos(\vartheta)/r3, E\vartheta=Asin(\vartheta)/r3, E\psi=0 where A= constant. Find the Volume charge density in the region.

There is not picture.

I am really lost on this one.
 
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From what I can read, it seems like you gave the E field in spherical basis vectors. But the method involved doesn't depend on any coordinate basis. Just ask yourself what is another interpretation for div(D).
 
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