Posted by Scott on Sunday, February 6, 2011 at 11:22pm.
According to Gauss' Law, you will get the same answer no matter where the charge q is placed inside the box, and no matter how large the box is. It does not even have to be a cube, as long as it encloses the charge.
Total flux = q/(epsilon-zero)
= 1.8*10^-6/8.82*10^-12
= 2.04*10^5 (N*m^2/C)
That is a lot easier than doing the actual integhtration of E(normal) over the six sides of the cube, but the answer will be the same.
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