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 (N·m2/C)

b. top face( N·m2/C)

c. each of the other four faces( N·m2/C)

Answer 1

flux= integral E.dA or E Area perpendicular to the E field. Each side has an area of .04m^2. So if the E field is in y direction, you deal with the xz planes.

Sketch the cube, if the E is going inward, the flux is negative, outward positive.