(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

"Consider a charge density distribution in space given by [rho] = [rho]_0 * e^(-r/a), where [rho]_0 and a are constants. Using Gauss' Law, derive an expression for the electric field as a function of radial distance, r. Sketch the E vs. r graph.

Was a question on a quiz that I messed up, curious now on how to do it properly so I'm more prepared for the quiz, and teacher is out for awhile.

2. Relevant equations

These are the equations I know that seem relevant, probably not all useful though:

[rho] = q/Vor[delta]q = [rho] * [delta]V

[del] dot E = [rho] / [epsilon]_0or[line integral]E * [delta]A = Q/[epsilon]_0

3. The attempt at a solution

I have no idea how to start this thing, and what I should be pursuing. I know it should end up as some sort of hyperbole, since that's the relation between electric field and radial distance(?). Any showing of how to start this, or preferably the whole process in a somewhat understandable manor would be great, I will be checking the forums every couple minutes for conversation.

I'm also very unclear on del, I feel like that's the path to go but don't really understand how it works.

Thank you!

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# From Charge Density -> Electric Field(r) using Gauss

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