resistance wire

Hello All, I have a wall adapter that outputs 24v AC and a small motor that requires 6v AC what resistor value is required for this voltage, please? Are resistors the same for AC as DC?

Automotive style smoke machine to detect leaks runs on a 12 V system one of the techs used battery charger to run it which burnt it up causing the red light to flash which according to the manufacture is an open circuit, I opened up the system checked the resistance on the existing wire found it...