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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/ε

_{o}

## 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/ε

_{o}

I really only have to be concerned he with +/- i and +/- j

(2.0i − 3.0 j) . (+/-a

^{2}i +/-a

^{2}j) = q/ε

_{o}

Is this right so far, if it is ill just solve for q, but im not sure if im right to this point