The figure at the right shows a cube with equal magnitude charged particles at the eight vertices. The electric field at the center of the cube has a magnitude of 2Eo, where Eo is the field at the center of the cube due to each charge individually. The field points toward the bottom left vertex (A) of the cube. A 1) What is the net charge on the cube? 2) If the net field at the center of each face pointed straight out of the cube, what would the net charge on the cube be? 3) If the electric potential at the center of the cube was -8 Vo where Vo is the potential each charge contributes at the center of the cube, what would the net electric field be? 4) Suppose an aluminum cube with side lengths half of the given cube was positioned around the center of the given cube, what would the electric field at the center be in this case?