Part (g) When creating a program such as this that only displays information about E-fields and potentials in a plane, one has a choice to make. One can say, "We live in a 3-D world, but I can only display 2-D of it. I'll just restrict myself to 2 of those 3 dimensions." Or one can say, "Let's pretend that we actually live in a 2-D world and the charges cannot even in principle move out of the plane of the computer screen." It turns out that if one makes the second assumption, surprisingly the electric field from a point charge does not fall off like 1/r2; it only falls off like 1/r.* Which choice did the designer of this program make? Explain your decision with quantitative observations. * It's hard to see why this is the case if one only knows Coulomb's law. Why not just use the same law in 2-D? But Coulomb's law in 3-D arises from a set of principles called field equations that describe not only electric forces but magnetic fields, the interaction of electric and magnetic fields, and their behavior and propagation in empty space. If these equations are solved in 2-D instead of