technically a variac is a potientiometer
AND many of them are quite large and weigh 10 lbs
A potentiometer is used to control voltage..therefore is a 3 wire device. + DC is connected to a terminal (not center/wiper) and -DC voltage to another (not center/wiper) and center/wiper is the difference of the 2 inputs as the dial is turned...ie a 1000 ohm 1 turn potentiometer when turned halfway will have 500 ohms resistance on the center connection...if voltage applied is 10vdc then the reading would be 5vdc, 100 ohms = 1vdc, 1k ohms= 10vdc.
Potentiometers are in most cases small and low wattage devices, but there are larger high wattage devices available when needed
Rheostats, which are potentiometers that only use 2 of 3 connections to control current are available in many sizes, shapes and configurations, these are normally DC devices.
I mentioned the VARIAC because of a recent post, the name should show its an AC device, works similar to a potentiometer thougn.