Re: trailer light problem
Try using a pair of jumper cables to bridge the ground connection temporarily from your truck frame to your trailer. Also, if you have a bolt together trailer frame, make sure the bolts are tight, I've had a few loose their ground connection over time due to loose bolts or corrosion. Tube frame trailers are known for this, as are tilt trailers. On tilt trailers, I normally run a ground wire back to the main frame, not just to the tongue of the trailer.
If the light is lit until you hit the brakes, it's not the filament or bulb, it has to be a ground problem. Start with tightening all the grounds, look at where the white wire grounds up front at the tongue, and the nuts that hold the taillights on as well. You can check the trucks wiring with a test light, the white wire is your ground, it's the only wire with a male pin on the truck, brown is for tail lamps and green is your right turn and stop lamp and yellow is the left turn and stop lamp. If you have a fifth wire, it's most likely a blue wire which connects to your back up lights and is connected to a brake lockout solenoid on the trailers surge brake unit.