To add a correction and clarity to my prior post:
...wrongway is correct, by connecting to the ceiling light in the bedroom if it is switched, like mine, one would have to operate the light to operate the fan. I didn't think of that in my first reply and was thinkin there would be other wires available also. Not a good choice. I would look for another source of power in that area that's easy to reach. Still like the idea of running through the cabinet - ceiling - to the vent option if there are no 12v source of power behind the trim ring.
Still need to know the power circuit and fuse size that operates it. On mine everything in the bedroom, (except slide lites), plus the bath fan and bath closet lite was on the same 15A circuit. As one knows__a circuit is fused/wire sized to handle its load at the worst demand. Since we never have everything on at once, I'm comfortable with my loads, end result of anything we do should be the same.
...When I mentioned my circuits, I would assume they are branched in a simular manner as a stick built rather than in series. Regardless, I didn't want to imply by saying I increased the fuse size in order to install the MaxxFan in the bath. Only that I increased the load from 1.8 amps to 4.4 amps. That's on HI setting and 1.4 on LO. I feel within the limits of that branch circuit and the 15amp fuse on the panel. HI on the MaxxFan will almost unroll the toilet paper from the holder so we don't use anything above #2 which should be about the same as the original but on high still safe.
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Book2 wrote:
I hate seeing someone stetting a trap for someone else by using the wrong wire for the wrong voltage. If you take the light out of the shower you will find this is where a lot of the 12v wiring is. I had to do this in my 02 to heat up the 12v outlet in the bedroom tv cabinet….Book2
I agree with wrongway that wire knows no voltage, that said I would not use #6 wire to run a circuit for a 2 amp light. I feel what he was saying was to check the circuit for power, remove it, find where that branch circuit terminates in the basement, disconnect and cap any loose ends, provide 12v to the wire and hook up the fan. Still have to decide which 12v circuit to use or connect to one of the 12v auto-reset breakers and fuse the line. Sure its over simpilified but if the wires are marked correctly, a white wire can be used as a hot lead. Deal with wire and voltage long enought, I'm sure one can see everything. Its labeling and idenitifing that makes the difference. Black wire with green or white collars to indicte use, still good to use one would assume. Wrong colored wire__corrctly labeled.
Book2, when I was tracking down my 12v, the 12vdc TV plug in the bedroom was wired to the ANT PWR switch, a 7.5 amp circuit. Don't know if yours is that way.
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As one knows, one has to at times be simple in the responce one sometimes give to keep from being to long and detailed. I know because it's hard for me to post most anything in 25 words or less.

One has to assume that if the information one receives is not clear or understood than other questions would be asked. One would also assume that one wouldn't do something they weren't comfortable with or had some knowledge of. Know it happens.
It's good to at times have checks and balances to keep us safe.
sparkie