A cube is located with one corner situated at the origin of an x , y , z coordin
ID: 2283196 • Letter: A
Question
A cube is located with one corner situated at the origin of an x, y, z coordinate system. One of the cube's faces lies in the x, yplane, 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 0.30 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 1360 N/C.
(a) Using the outward normal for each face of the cube, find the electric flux through each of the six faces. (Let the side of the cube in the x, z plane be the bottom of the cube, the side of the cube in the z, y plane be the left side of the cube, and the side of the cube in the x, y plane be the back of the cube.)
(?E)bottom = NExplanation / Answer
The electric flux through an area is defined as the electric field multiplied by the area of the surface projected in a plane perpendicular to the field. Gauss's Law is a general law applying to any closed surface. It is an important tool since it permits the assessment of the amount of enclosed charge by mapping the field on a surface outside the charge distribution. For geometries of sufficient symmetry, it simplifies the calculation of the electric field.