Hello, regarding the alternator, it is so that if it has a 6-diode rectifier, it is separately excited, and if the alternator has an auxiliary rectifier, it is a self-excited alternator (the simplest example is an altek from Polonaise) and if such an alternator is properly connected to the voltage regulator and the rotor it will rotate at least with the minimum revolutions needed to generate the nominal voltage (usually 400-500 rpm) such an alternator will generate voltage at the output terminal without connecting the battery, and the charging indicator works (lights) on the basis of the voltage difference between the rectifier output auxiliary and the voltage of the battery.