The thing is, people get confused in the real purpose of a cap. It is not used to cure or prevent dimming lights nor will it change the way the system sounds (both are misconceptions).
To undertsand the purpose you need to understand how they work.
A cap does it's best to keep the voltage at a certain level, but if the voltage changes so will the cap voltage. The cap just makes the change smoother. The diming light syndrome isn't a voltage issue but rather a current (amperage) drop. The voltage simply follows what the current does. A cap does not help this situation at all. A cap doesn't provide more power nor does it try to correct it.
A cap is perfect for a noisy voltage line or if the car has fast, erratic voltage spikes/drops. This is why caps are used in AC to DC power supplies as they are used to smooth out the DC ripple for a more smooth DC output.
The ONLY cure for dimming lights is a more hefty amperage source, the alternator.
The REAL powerplant of the car is the alternator. The ONLY purpose of the battery is to start the car and run the accessories with the engine off, nothing else.