OK, I've not looked into the resistor thing myself... but one day will do, cos my speed 1's packed up... but...
The fan motor will draw a few amps. A few amps at 12V is a few watts (watts = Volts * Amps). A few watts is something you can feel. A soldering iron is 20 - 80W, a 60W light bulb gets hot, etc.. Point being that the resistor pack should get warm in use (on speeds 1,2,3). It won't get warm if there's no current flowing through it. There's no current flowing through it, as speeds 1,2,3 are not working. Speed 4 bypasses the resistor pack and gives the motor the full 12V. Therefore there is no current flowing through the resistor and it does not get hot... if you catch my drift...???
If you have a multimeter, try measuring the resistance of the individual resistors in the pack, if you can. The values should be finite (have some value) i.e. not --- on the meter (indicating an open circuit).
Some voltage should be appearing at the motor when speed 1,2,3 is selected. If there is none, then there is a fault in either the resistor pack, or the wiring between the pack and the motor.
Hope this is of some help... I kind of know where I'm going with my train of thought,... just not sure if I can drag anyone else along for the ride
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