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

For the given flux density: [tex]\vec{D}[/tex]=(2y2+z)[tex]\widehat{x}[/tex]+(4xy)[tex]\widehat{y}[/tex]^+(xz)[tex]\widehat{z}[/tex]

a)Determine the charge density.

b)Find the total charge enclosed if the surface is 0<x<1, 0<y<1, 0<z<1 (unit cube)

c)Confirm Gauss’s law by finding the net flux through the surface of the volume.

2. Relevant equations

3. The attempt at a solution

I used divergence to find the [tex]\rho[/tex]_{v}=5x

To find Qenc I integrated [tex]\int\int\int[/tex]5xdxdydz and came up with

Q_{enc}=5/2 C

The last step I know is to verify that [tex]\oint[/tex][tex]\vec{D}[/tex]dS=Q_{enc}.

From what I gather since the divergence only has an x-component we will integrate only the x-component over the dxdydz, but this gives me 7/2. I'm guessing both are incorrect, but obviously at least one of them is.

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# Homework Help: Verifying Gauss' Law

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