01-31-14: CoxhausWhile with some amplifiers and subs not connecting the black wire will work, in general I would strongly recommend against it. As I'm sure everyone here realizes, for current to flow a complete circuit is required, in this case from the amplifier to the sub and back to the amplifier. Without the black wire being connected, instead of being through that wire the return path would be from the sub's circuit ground via some design-dependent impedance to its AC safety ground, then through the AC power wiring to the amplifier's AC safety ground, then through some design-dependent impedance to its circuit ground. In addition to creating a susceptibility to pickup of low level hum and noise, I would expect that to result in at least a few cases (depending on the internal grounding configuration of the sub and the amplifier) in hum that is loud enough to be destructive.
... You only need to connect the black to ground if you have a hum.
And particularly so in the situation where there is initially a low level hum, which the user then sees fit to try to eliminate by putting a 3-prong to 2-prong cheater plug on the power cord of one of the components. Thereby leaving the grounds of the sub and the amp "floating" relative to one another, with AC "leakage" paths (e.g. in power transformers) being the only means of signal return. I would not want to be anywhere in the vicinity in that situation.
Regards,
-- Al