Yes, I agree that trying a long extension cord running to a different room should be the first thing that you should do, at least as an experiment.
But can you clarify what you mean when you say "when I change the fan speed there is a low frequency hum when I turn the fan speed from low to medium etc." Does that mean that the hum occurs only while you are changing the fan speed, and perhaps for a second or so afterwards? Or does it mean that the hum is always present, but is affected in some manner by a change of fan speed? Or does it mean that the hum is not present in "low," but is present at the faster settings?
Regards,
-- Al
But can you clarify what you mean when you say "when I change the fan speed there is a low frequency hum when I turn the fan speed from low to medium etc." Does that mean that the hum occurs only while you are changing the fan speed, and perhaps for a second or so afterwards? Or does it mean that the hum is always present, but is affected in some manner by a change of fan speed? Or does it mean that the hum is not present in "low," but is present at the faster settings?
Regards,
-- Al