[pwoodman]

I have a switch that currently operates a single outlet. I would like to install a ceiling fan operated by the switch. I cut the line between the switch and outlet, rendering that line powerless. If I install a junction box and bring the wire from the outlet, the switch, and the fan together will the fan and outlet both be powered and operated by the switch?

[stanfortyman]

Why did you cut the wire??
You could have used that wire to convert it to feed the switch. Then just run a new line to the fan.

[pwoodman]

Well, I have a new issue. I decided to put everything back together as it was before I messed with it. When I was re-joining the cut wire (running between switch and outlet), I added a "branch" to power the fan. The strange thing is, when I test the connections with my voltage indicator, I get these results: hot + ground: positive test. Neutral + ground: positive test. Hot + neutral: nothing. Shouldn't the voltage test light go on when you touch the hot and neutral wires?

[stanfortyman]

First of all, how did you "add a branch"? Did you add a box somewhere?

Second, you are dealing with a switch loop. This is where the white is a hot feeding the switch and the black is the return to the light or switched receptacle. You cannot take constant power from that line.
You can though convert it to a constant feed, but you will lose the receptacle being switched, it will not be hot all the time.