1. The problem statement, all variables and given/known data 6 Gaussian cubes are shown below. The surfaces are located within space containing non-uniform electric fields. The electric fields are produced by charge distributions located outside the cubes (no charges in the cubes). Given for each case is the side length for the cube as well as the total electric flux through 5 out of 6 of the cube faces. Determine the electric field flux through the remaining sixth face. Rank the electric flux through the remaining side from greatest positive to the greatest negative. Electric field flux is a scalar quantity and not a vector. A negative value is possible and would be ranked lower than a positive value (X = 200, Y = 0, Z = -200 would be ordered X=1, Y=2, Z=3) 2. Relevant equations Q(enclosed)/E(knot) 3. The attempt at a solution I have a theory but I need a question answered first. Is the flux always equal to the charge enclosed divided by epsilon knot? Cause that would make this question easy to answer. However, if this is only true for a uniform electric field than that changes things. For instance, one of the cubes has a side length a = .5 m and the flux through 5 of the six sides is 40. Does that simply mean the flux through the sixth side must be -40? The reason I think that is because there is no charge enclosed, zero divided by anything equals zero.