A cube is located with one corner at the origin of an x, y, z coordinate system.

Question

A cube is located with one corner at the origin of an x, y, z coordinate system. One of the cube's faces lies in the x, y plane, another in the y, z plane, and another in the x, z plane. In other words, the cube is in the first octant of the coordinate system. The edges of the cube are 2.57 m long. A uniform electric field is parallel to the x, y plane and points in the direction of the +y axis. The magnitude of the field is 7950 N/C. What is the electric flux through the cubical surface? Number Units exact number, no tolerance

Explanation / Answer

Ans: Zero

The field is oriented along one of the coordinate axes.

The flux through the four sides of the cube that are parallel to the field is zero.

The flux through the bottom of the cube is - E A

where E is the magnitude of the field

and A is the area of one side of the cube.

The flux through the top of the cube is + E A.

The net flux through the cube is EA - EA = 0

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