I Have A Car Audio Capacitor, But How Exactly Does It Help My System?

don't.
capacitors useful in systems swing low high voltages.
car audio system swings 2v (12 14) if not less.

standard 1f capacitor stores 98 joules in accordance equation 1/2 x c x v^2 = j. c capacitance in farads, v voltage. however, since have battery @ 12.5v not allow voltage fall lower have 1/2c x 12.5^2, or 78j below battery voltage. means 1f capacitor has 20 joules of usable energy when used in car's electrical system.
joule watt-second. if have 20w amp cap useful second. if have small 200w amp cap useful 1/10 of second. if have 500w amp cap useful 0.04 seconds.
on top of - once charge released takes time recharge in order released again.

dimming capacitor improve side effect. not intended although lot of sales people try claim otherwise.

fact of matter - if stock alternator can provide current amp(s) need(s) capacitor won't make improvement, , if stock alternator doesn't have enough current capacitor won't help.

just need explination?

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