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Aftermarket Sub-woofer Amplifier Installation using DC-DC +12v Power Source

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Question: one concern I have with the circuit with the resistor is the size of the wiring for the 30A relay. The 4 gauge wiring (power) going to 12 gauge (relay) back to 4 gauge doesn’t seem to make sense. Any thoughts?

I'm using a huge solenoid to act as a relay and using 6 gauge wiring throughout. I think I may be overkilling it a bit.

There are smaller versions: