Hi XXXXXXXX;
Could you elaborate a bit more as to what you wish to accomplish with the fan?
Thank you ; The Home Smithy
Hmmm ....A fan in the bathroom.....
Ok the problem that you have is one of heat. If you consider the fact that heat rises and, apparently there is no place for the heat to go now, I would have to say that installing a ceiling fan is not going to solve your problem any better that your little fan on the toilet. Actually it may make the problem worse as it would force the hot air back down. This is what makes ceiling fans so benificial to rooms that have high vaulted ceilings in the winter.
What needs to be done is get the hot air out of the bathroom. This is the function of exhaust fans. It may not seem like a small fan like that would make a big diffrence. But then all it has to do is get the hot air off of the ceiling and vent it to the outside. Cooler air, which as opposed to warm air stays down low, will be drawn in under the bathroom door to replace the hot air and cool the bathroom down considerably.
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Best regards; The Home Smithy
Jack of all trades Master of a few.
#1 Home Improvement Expert. Over 30 years experience in construction, and home repairs