and second battery will only help solve the problem, you really cant solve light dimming with 1 thing.
the second battery will help you stabalize your voltage, but only to a point. it helps stabalize your voltage in that fact that you have more amperage at you disposal.
remove as the voltage goes down the current (amps) goes up, and when the volts goes up the current goes down.
a second battery is most useful when running the stereo with the car off, when the car is on it is running off alt power, if the car is running and the voltage dips below 12v, you are running off of battery, it is there to help pick up the slack fro the alt.
if your only consern is light dimming and dont really care jsut throw a small cap on the power wire of the headlight then, itll solve the headlight dimming, but you stil have a problem.
also people in competition (im talking heavy hitters) the only real reason they get a big alt is to charge all those batteries.
i mean thing about it lets say you are running multiple amps and the current draw from the amps is 500amps or more, whats more locical to do? add more batteries or get several alt that can put out over 500 amps? you would need about 3 alts for that atleast and thats assuming that each alt can put out almost 200 amps at idle, which i dont know any that can do that.
for the daily driver that has light dimming, get a better battery or a second battery and upgrade the alt and do the big 3, and your problem will be solved.
also if you are your voltage is dipping below 12v you are putting some serious stess on your amps power supply, youll end up getting leaking caps, blown transformers and other stuff.
its all simple physics dont complicate it you have X amount of current draw from your amps, you need to be able to supply it with that curent draw, safely
actually a couple of batteries wirred in parellel will actually lower the resistance (think amplifier power you lower the load (ohm) and the amp is able to push more power) this theoretical speaking
guys there is no cheap way to do it just do it rigth the first time. an alt and a bettery battery
and for everyones information think about this one.
regular car battery= good for surge's (like starting a car
a yellow/red top deep cycle battery= good for constant power drains(like a car stereo)
blue top= deep cycle/surge battery
so what in reallity is better for a 1 battery car? the blue top, yes a marine battery
over time using a yellow/red top battery as a main battery you will either shorten its life by quite a bit or you will "retrain" your deep cycle battery for a surge battery
just something to think about.