Calculate Total Charge in Cube w/ Electric Field E = 2.0i − 3.0j

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SUMMARY

The discussion centers on calculating the total charge within a cube of side 0.5m centered at the origin, subjected to an electric field defined as E = 2.0i − 3.0j. Participants confirm the use of Gauss's Law, specifically the equation ∫ E da = q/ε₀, to determine the charge q. The focus is on evaluating the electric field across the cube's surfaces with normals aligned to the cardinal directions. The correct approach involves calculating the electric flux through the cube's faces and solving for the total charge.

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Homework Statement


A region of space around the origin contains an electric field E = 2.0i − 3.0 j. Such a field cannot exist
in empty space. Find the total charge within a cube of side a = 0.5m centered on the origin, with its six faces
possessing normals in the six cardinal directions ±i,±j,±k.

Homework Equations



∫ E da = q/εo

The Attempt at a Solution



So I know what E is so I can plug that into gauss' law and dot that into the surface area of a side of the cube, then set that equal q/εo

I really only have to be concerned he with +/- i and +/- j
(2.0i − 3.0 j) . (+/-a2i +/-a2j) = q/εo

Is this right so far, if it is ill just solve for q, but I am not sure if I am right to this point
 
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You will have to explain the problem better. Can you give us the actual wording of the problem?

AM
 
Andrew Mason said:
You will have to explain the problem better. Can you give us the actual wording of the problem?

AM

Thanks for your response. I copied and pasted the problem word for word in my book under headline 1, I don't know how to make it clearer, that's verbatim. What i got from it was to use the electric field given, and plug that into the formula for flux(under headline 2) and solve for q.
 

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