An imaginary cubical surface of side LL has its edges parallel to the xx-, yy- and z-axes, one corner at the point x=0x=0, y=0y=0, z=0z=0 and the opposite corner at the point x=L,y=L,z=L.x=L,y=L,z=L. The cube is in a region of uniform electric field E =E1iˆ+E2jˆ,E=E1i^+E2j^, where E1E1 and E2E2 are positive constants. Calculate the electric flux through (a) the cube face in the plane x=0x=0, (b) the cube face in the plane x=L,x=L, (c) the cube face in the plane y=0y=0, (d) the cube face in the plane y=L,y=L, (e) the cube face in the plane z=0z=0, (f) the cube face in the plane z=L,z=L, and (g) the entire cubical surface. For each face the normal points out of the cube.
An imaginary cubical surface of side LL has its edges parallel to the xx-, yy- and z-axes, one corner at the point x=0x=0, y=0y=0, z=0z=0 and the opposite corner at the point x=L,y=L,z=L.x=L,y=L,z=L. The cube is in a region of uniform electric field E =E1iˆ+E2jˆ,E=E1i^+E2j^, where E1E1 and E2E2 are positive constants. Calculate the electric flux through (a) the cube face in the plane x=0x=0, (b) the cube face in the plane x=L,x=L, (c) the cube face in the plane y=0y=0, (d) the cube face in the plane y=L,y=L, (e) the cube face in the plane z=0z=0, (f) the cube face in the plane z=L,z=L, and (g) the entire cubical surface. For each face the normal points out of the cube.
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