A cube is located with one corner at the origin of an x, y, z, coordinate system
ID: 2227783 • Letter: A
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 0.20 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 1500 N/C. Find the electric flux through each of the six faces of the cube. A) bottom face ?? NExplanation / Answer
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 as expected.