Charge density causing an Electric Field

AI Thread Summary
The discussion revolves around finding the charge density p(r) that generates the electrostatic field E = g|r|r. The initial approach involved using Gauss's law, specifically the equation divE = p/ε0, but the user struggled with calculating the divergence of E. It was suggested that taking the divergence in spherical coordinates would simplify the process. A reference to the Wikipedia page on divergence was provided for guidance. Understanding the divergence in spherical coordinates is crucial for solving the problem effectively.
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So the problem is: The electrostatic field is E =g|r|r where g is a constant. Find the charge density p(r) which can generate the field?

My attempt was gauss law: divE=p/ε0

But I'm struggling to take divE. I guess r=x+y+z?

Any advice much appreciated!
 
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