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amps and wiring kits are very optimistic on the output. If you want proper wire, buy some welding cable "0" or "00" guage. That solves the power delivery. Put a 1 Farrad (or more) capacitor near the amp, that solves the surge power issue. Make sure the box is suitable for the subs. Lastly I'd say do some research and find the right amp that can deliver the clean, huge current required to move some serious air!
Well you really can't run both speakers on one term. because you will over heat the amp , unless your amp is rated at twice the capability of your subs , Then if so , Try positive to one sub , then neg. to the other sub , then bridge the remaining positive to the remaining negative terminal , But it is really best to get a two channel amp for your subs !!!
It depends on the box you are installing them in. If you're going for sealed box they you can put 600-800 watts on them as long as you're careful with the gains and bass boost off. In a ported enclosure I wouldn't put more than 600 rms on them and still be careful with the gains. set your filter on your amp to about 80 hertz and match it on your source unit.
CVR series do not have large power handling capabilities. Your subs will melt before the amplifier is used to its full potential. If the subs arent in a ported enclosure - do that. They both handle 500w rms - so the pr1000 is perfect. bass response is all in the enclosure!
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Assuming that the "old sony box" has 2 chambers with at least 1 cu/ft of internal volume each, there should be no problem running the Kickers. The CVR's are dual voice coils and come in either 2 ohm or 4 ohm versions. The coils are wired together either in parallel or in series and then wired to the box terminals.
You did not specify what make and model of amp that you intend to use. The amp will dictate how the sub voice coils are wired. You do not want to go below the minimum load that your amp is capable of supporting. If your subs are the 2 ohm version, you wire the dvc's in parallel and then parallel both subs to the amp, your final load to the amp will be 0.5 ohm and there are not many amps stable at that low of an impedance.
The terminals with the white dots are for the first voice coil. The terminals with solid-red and solid-black markings are for the 2nd voice coil. In a parallel setup, you would wire the white-dot positive and the solid-red terminals to the box internal positive and the white dot negative and solid-black to the box internal negative. In a series setup, you would run a jumper from the white dot negative to the solid-red and then connect the remaining terminals to the box terminals.