Can I wire a DVC 4 ohm like this?

That is the exact same thing was wiring the coils in parallel. It will result in a final load of 2ohms.

You will need to either run the amplifier into an 8ohm load (coils in series), or buy a different amp or different sub.

 
Yes.

But it would be much more simple to just wire the coils in series and bridge the amplifier, as I already suggested.

Exact same power output both ways. Just less wiring to the amplifier by wiring the coils in series.

 
No, it would output 240w.

Yes, that's probably less power than you were wanting. But your subwoofer and amplifier simply aren't compatible. You need either an amplifier stable to 2ohms, or a single subwoofer with dual 2ohm voice coils.

 
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