6) A cube is located with onecorner at the origin of an x, y, z coordinate syste

Question

6)    A cube is located with onecorner at the origin of an x, y, z coordinate system. Oneof the cube’s faces lies in the x, y plane, anotherin the y, z plane, and another in the x, z plane.In other words, the cube is in the first octant of the coordinatesystem. The edges of the cube are 0.20 m long. A uniform electricfield is parallel to the x, y plane and points in thedirection of the + y axis. The magnitude of the field is1500 N/C. (a) Find the electric flux through each of the six facesof the cube. (b) Add the six values obtained in part (a) to showthat the electric flux through the cubical surface is zero, asGauss’ law predicts, since there is no net charge within thecube.

I'dappreciate some help here I did it and I'd like some thing tocompare to and to double check my answers

Explanation / Answer

(a) It would be confusing to say "top" or"bottom" face.
Face(0, y, z): zero electric flux
Face(0.2, y, z): zero electric flux
Face(x, 0, z): electric flux = -60 N/C
Face(x, 0.2, z): electric flux = +60 N/C
Face(x, y, 0): zero electric flux
Face(x, y, 0.2): zero electric flux
(B) Add the six values obtained above, the result is clearlyzero.

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