"Does height on an antenna make a difference besides being able to grab radio waves better? I mean, could you technically build a 2' HF antenna, just sacrificing range?"
... Yes, and no, sort of. An antenna's length is frequency dependant. For the sake of making it all a little easier to understand, assume that a 1/4 wave length (a wave length = the distance one cycle of RF travels in one second) is the minimum length usable for a mobile. On 2 meters that 1/4 wave length is something close to 19 inches. On 11 meters, about 9 feet. And on 40 meters, something like 30 feet, and 60 feet for 80 meters. Shortening the antenna means that it looses efficiency and it's radiation pattern's shape changes. The greater the shortening, the worse the antenna's performance compared to it's 'full length' version. If that reduced performance still does what you want it to, then it's not much of a big deal. Just don't expect miracles! LOL
There is no such thing as an efficient, all band antenna. The lower the frequency the worse it's performance (assuming it's of some 'practical' length that isn't too obnoxious/ugly/dangerous to low flying planes). At one extreme, a 2 foot antenna on 80 meters is just slightly less efficient than a dummy load, and that's not much of an exageration at all. Convenience is another thing that causes suffering. If it'll change length with the flip of a switch, and if it isn't too 'shortened' to start with, it just doesn't work all that well. It WILL put one @#$$'of'a dent in your wallet, be ugly, hit stuff. Efficiency increases with inconvenience and 'ugliness'.
Hope 'Wikipedia' helps, but don't expect miracals...
- 'Doc