are you sure the "resistor" isn't a charred and smoked diode that got hit with too much current in the wrong direction? Sometimes something else mayhave gone south, and caused the diode/resistor to take the brunt of the failure.
A reverse polarity incident might do it, there's little protection in the circuit against that. A high voltage spike that punched through could do it too. Either could happen during a jump-start episode. -- Jim
