"The 30' 14/3 cord is rated @ 13A/12V/1625W."
norahcrv, I suspect you missed a zero there -- it should be 13A/120V/1625W. Not to be negative, just a nit-picky point.
A couple of things to remember:
One can't tell the current carrying capacity -- called ampacity -- of a cord by its outside size. Some cords have more insulation and less conductor size than others. Read the label on the cord. The larger the wire size -- the better -- as in the 14/3 norahcrv listed.
Regardless how far you are form the outlet, the power goes through all of the cord on the reel. So norahcrv is putting power through all 30 feet of the cord on his reel, even if he only pulls out ten feet. So if one is using a 100 foot extension cord to reach an outlet twenty feet away, it would be best if the extension cord is #12, or get a shorter extension cord.
Using a small inexpensive extension cord can, over time, damage any tools or appliances that are plugged into it due to low operating voltage. The greater power drawn by the tool, the larger the wire size needs to be. I personally don't own an extension cord that is smaller than #12, but that is just me. None of the wiring in the house or garage is smaller than #12 either. After 35 years with an electric utility, overkill in electrical wiring is second nature to me. Let's not talk about fuses or circuit breakers – that is a whole other subject.
Terry