AC needs to be wired with the correct polarity. If you reverse these wires the device you plug in to the receptacle may "work" but it is unsafe and risks a short circuit, shock, or fire. Some devices may become damaged if left on a reversed polarity. The presence of live voltage at the "wrong end" of a circuit or circuit board may cause some devices on the board to remain energized even when the device has been "switched off". A result can be overheating or electrical shock hazards. You can reverse LINE and LOAD connections on daisy-chained devices and the circuit will appear to work properly. However the circuit may not be safe or fully protected. You can purchase Receptacle Testers to make sure none of your receptacles are wired wrong. This is more common than many realize. I have found many with reversed polarity in previous homes. This is something I check anytime I purchase or rent new homes. I'm pretty sure either of these will work..Adding a Bridge Rectifier to a DC circuit will prevent a reverse polarity issues. Will not matter if you swap the positive/Negative leads you will always get positive voltage when a Bridge Rectifier is used.
http://www.amazon.com/Sperry-Instruments-GFI6302-Outlet-Tester/dp/B000RUL2UU/ref=pd_bxgy_60_text_z
http://www.amazon.com/GE-3-Wire-Rec...sim_469_5?ie=UTF8&refRID=0SAWVZ4W7G4QRNBD67TM
That's all true, in general. I never said otherwise. There are circuits where polarity doesn't matter other than phasing between multiple outputs, like a stereo amplifier which uses push-pull circuitry. It doesn't matter wrt 240v AC circuits, either, because both leads are hot, just 180 degrees out of phase. Electricians follow the red to red/black to black wiring convention end to end in a 240v circuit but it's really not necessary from a functional POV.
I'll set it up again tomorrow morning & take some measurements, but I figure the voltages at the lamp leads will resemble those of a 240v AC circuit.