So i am new to the world of Delorean, and I am having a problem with the battery light.

With the car at a low idle the light is on but dim, then i hit the gas and the light gets bright along with the voltage meter going from 12ish volts up to 13/14 volts. I have a new belt from delorean of Texas and i have it tight. (A post on here told me to try that). If i drive with the vent fan off and the cooling fan off the voltage will stay at 13 volts. I cleaned the terminal on the alternator and the wiring harness that goes through the fire wall in the engine compartment.

I have to take and get the alternator tested (the small wire is rusted on there so i am still trying to disconnect it.) but is there anything else i should test before spending the money on a new alternator?

Thank you for the help