Yes, but presumably you are posting from the same universe as me, where the same laws of physics apply.
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You are now talking nonsense, laws of physics apply to all things equally, but the results will be different if conditions are different, and they are not the same in every house. I said at the very begining, and I am having to repeat it the third time now, that every house is different, and so will require different methods and different times the fan is on for, and heated bathroom can help dispel moisture quicker and stop it condensing on cold wall tiles, so if your bathroom tiles were heated by a bathroom heater, condensation will not settle and drip! These are the ****ing laws of Physics! I think you need to think before blurting out rubbish.
1.I don't get condensation in my bathroom because I have a convector heater (it heats bathroom very quickly to 25c and stops moist air about to be produced from taking a shower, and in the mean time I can spend 5 minutes shaving)
2. I do not have an extractor fan at all.
3. Before I jump into the shower, I open my window vent wide, and ready to expel any moist air that will soon result from taking a hot water shower, so that as soon as it is produced, it stands no chance to settle on wall tiles as they have reached a higher temperature than they normally are at 18c,
3. after taking the shower, I dry myself, wrap myself in towel, and leave the bathroom to get dressed up in the comfort of my bedroom. so i leave the bathroom door wide open, this pushes allows warm air in the passage and landing to escape through the bathroom vent pushing and dragging along any moist air.
4. 5 to 10 minutes later, I pop back into the bathroom, turn my convector heater back to 18c, and leave the window vent open for at least another half to one hour, and shut the bathroom door tight behind me, so as to stop house loosing more heat.
5. Days when I don't take a bath, then there should be no condensation on my bedroom window, so why is there condensation every morning I awake up?
(Answer is its from breathing and other general condensation that you get from cooking, putting the kettle on at least 10 times in a day, and drying clothes and that also includes drying out a wet towel that I took out to dry myself, and moisture from house plants, its not from the bathroom moisture laden air dispersing back into the house, my house has a different set of conditions.
where does this conflict with laws of your Universe?
OP had a fan, but not large enough radiator, and even if he did have a large radiator, was it providing strong heat at the time when someone is taking a bath or shower?
And yes the general idea of a bathroom extractor fan is to dispel moist air away and out of the bathroom, but it does not often work due to inadequate time it is set to, or not moving enough volume of air, if the bathroom is not heated, then moist air can still be expelled but would take much too long, because all that condensation that has settled on cold tiles will need to vaporise again to be able to get air born (evaporate) to be expeled out, fan does not remove condensed water drops. May be I need to teach you a few laws of Physics.
The whole idea of a heated bathroom is to prevent moist air from condensing on cold wall tiles in the first place! and if condensation has formed on your wall tiles, you will need to run your extractor fan for many hours since droplets of water will vapourise far too slowly in cold bathroom, so you might as well wire up your bath fan 24/7 if you thought fan is your answer to condensation. Heater is just as important, in fact heater is more important, all the bathrooms where mold is found are inadequately heated.
I suggest you check this out how relative humidity (water vapour in air) becomes condensed (dew point) on cold wall tiles, so it is related to TEMPERATURE, so by heating the bathroom, you are shifting the dew point, to prevent condensation, so feel free to juggle sliders on this calculator, and may be update your laws of physics.
http://www.dpcalc.org/