When the engine is running, the current comes from the alternator alone.
The power comes from where the current is highest. (Alt.=13.8V vs Batt.=12V)
When the current is higher in the battery, than the alternator, that's when you get the charge/batt-light come ON.
(Easy to show! Turn on the ignition without starting the engine. Batt.=12V vs alt.=0V and the charge/batt-light is light.)
The alternator runs everything in the car while the engine is running, including, charging the battery. If the battery is old/weak, you don't get enough current to run things, but as long as you get the engine started, the battery can't be the reason for lights not shining bright enough.
To thin wires makes resistance that lowers the current. Same thing with bad ground. Lower current makes lights shine less.
Another possibility is if you have something using a lot of power (Or a short somewhere.) there will not be enough Ampere's for the lights.
Alternator should deliver about 13.8V. (+/-0.2V)
And that's what the volt-meter should say, measured almost anywhere in the car. If not, the alternator might be broken.
There are alternators out there charging more than 13.8V, they tend to "boil" away the water in regular batteries.
They are OK to use in cold weather, to get that litle "extra", but not for regular conditions.
1. Check the voltage of the alternator. (measure with a Volt-meter over +/- on the battery, with engine running.)
Should be 13.8V (+/-0.2V)
2. Check ground spots. (Loosen the nut/bolt, and remove any dirt/corrosion. Make sure there is good contact, put the ground wire back and tighten good. Spray some WD40 or equalent on it to prevent further corrosion.)
3. If youre using more than 2xlight's make sure the wires are thick enough for the 2x Ampere's needed.
After all, there is ONLY one reason a lightbulb don't shine with full power. It's cause it doesent get enough Watt's!
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87-GT - 5-spd.