Confirming Gauss' Law: Finding Flux

AI Thread Summary
The discussion focuses on setting up a problem to confirm Gauss' Law using a cube centered at the origin with a point charge at the center. The integral for calculating the electric flux is presented as q/(4*Pi*ε)∫∫z/(x²+y²+z²)^(3/2)dxdy. The user initially seeks validation of their setup but later confirms that the integral was completed correctly, despite its complexity. The conversation emphasizes the importance of correctly applying Gauss' Law through integral calculations. Ultimately, the user successfully verifies their understanding of the law through this process.
kuahji
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In general I just wanted to see if I was setting this problem up correctly.

We have a cube centered around the origin and a point charge at the origin. The task is to find the flux & confirm Gauss' Law. We are however to complete the integral ourselves. So imagining the top of the cube

q/(4*Pi*\epsilon)\int\intz/(x^2+y^2+z^2)^(3/2)dxdy

Would this be the correct setup or am I mucking something up?
 
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Nevermind, I went through the integral, it came out correctly... though it wasn't pretty.
 

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