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## Homework Statement

I didn't know how to display a lot of the symbols, so I wrote the problem out in microsoft word, took a screenshot, uploaded it to photobucket, and linked it.

Basically, I have to find the charge density as a function of r given the electrostatic field in the image. Any constants are positive. Bold means it's a vector; ignore the green underline; the del function is upside down - sorry about that.

http://img.photobucket.com/albums/v696/talimtails/aphysicswork.jpg

My questions are..

1: Is my work method correct? i.e. is this how you solve for charge density?

2. Is there a way to simplify it more?

3. Is E

_{0}a constant or not? The problem doesn't really say and is ambiguous to me. If it's not, how should I approach it? Thanks.

In all cases... please don't tell me if my answer is right or wrong. YES/NO answers are very much appreciated.

## Homework Equations

Relevant equations I used in the image

## The Attempt at a Solution

My attempt is in the image. ^_^

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