2 Farads of capacitance will supply a modest amplifier with voltage for a few miliseconds, but that's not what they're for. They are there to counteract the parasitic losses on a long wire. Since the amplifier's current draw is not uniform, there is a slight delay between the amplifier drawing current, and the wire supplying it. Conversely, when the amplifier doesn't need it any more, there is a similar delay before the wire will stop trying to deliver it. Heavier gauge wire has less of this effect, but it's always present.
The capacitor supplies a buffer of voltage at the amplifier, and then absorbs the excess when the amplifier "load dumps" and doesn't require the voltage anymore. This results in more predictable music reproduction within the amplifier itself, meaning better sound. All amplifiers will already have capacitors in their power supplies already, most of them will have enough on-board that an external one in addition will make no noticeable difference.
This does NOTHING AT ALL for the rest of the car's electrical system, except to maintain a residual charge for a while longer when you disconnect the battery. I will use a cap when the main wire run is longer than about 12' as a rule of thumb, but I've done several excellent systems with no capacitor at all.
The capacitor supplies a buffer of voltage at the amplifier, and then absorbs the excess when the amplifier "load dumps" and doesn't require the voltage anymore. This results in more predictable music reproduction within the amplifier itself, meaning better sound. All amplifiers will already have capacitors in their power supplies already, most of them will have enough on-board that an external one in addition will make no noticeable difference.
This does NOTHING AT ALL for the rest of the car's electrical system, except to maintain a residual charge for a while longer when you disconnect the battery. I will use a cap when the main wire run is longer than about 12' as a rule of thumb, but I've done several excellent systems with no capacitor at all.