A non-uniform electric field in a region of space is given by E = (-4.50 x 103 N/C m) xi+ ( 2.30 x 103 N/C m) yj where x and y are in meters. A cube is placed with one corner at the origin, with faces parallel to the xy-, yz-, and xz-planes, and edges parallel to the x-, y-, and z-axes. The cube is entirely in the first (all positive) octant. The sides of the cube are 2.25 m in length. In other words, one corner is at (0, 0, 0) and the opposite corner is at (2.25 m, 2.25 m, 2.25 m). (a) Find the electric flux through each of the six faces of the cube. (b) Find the net electric flux through the entire cube. (The sum of the flux through each of the faces) (c) Find the net electric charge contained inside the cube.

A non-uniform electric field in a region of space is given by E = (-4.50 x 103 N/C m) xi+ ( 2.30 x 103 N/C m) yj where x and y are in meters. A cube is placed with one corner at the origin, with faces parallel to the xy-, yz-, and xz-planes, and edges parallel to the x-, y-, and z-axes. The cube is entirely in the first (all positive) octant. The sides of the cube are 2.25 m in length. In other words, one corner is at (0, 0, 0) and the opposite corner is at (2.25 m, 2.25 m, 2.25 m). (a) Find the electric flux through each of the six faces of the cube. (b) Find the net electric flux through the entire cube. (The sum of the flux through each of the faces) (c) Find the net electric charge contained inside the cube.