For the inquiring minds who want to know, the diameter of a wire as a function of AWG number is
diameter = .005 inch * 92^((36-AWG)/39)
where * denotes multiplication and ^ exponentiation.
As a practical matter it can be very useful to know that wire area and resistance very nearly halve or double every 3 wire sizes and decrease or increase by a factor of 10 every 10 wire sizes. If you can remember that AWG 10 wire has a diameter of about 100 mils (.1 inch) and a resistance of 1 ohm per 1000 feet (note that 1, 10, 100, and 1000 occur once each in the rule!), you can calculate in your head most of what you will ever need to know about wire.
Except “ampacity”, or current-carring ability. This is a little fuzzier than resistance, since it depends on the type and thickness of insulation, ambient temperature, and how hot you want to let the wire get. However, a good starting place is 30 amperes for AWG 10 and 20 amperes for AWG 12, with a rule that these numbers are halved every 4 wire sizes (not 3).
Thus, for example, AWG 20 has a resistance of 8 ohms per 1000 feet (a factor of 10 greater than 1 ohm per 1000 feet for being 10 sizes smaller than AWG 10) and can be expected to carry about 5 amperes safely (a factor of 2*2 less than 20 amperes for being 8 sizes smaller than AWG 12).
For the resistance, you may have to do some roundabout calculations: For example, to get the resistance of AWG 18, go 2 factors of 10 up to AWG 30 (100 ohms per 1000 feet), then 4 factors of 2 back down to AWG 18 (6.25 ohms per 1000 feet). Or you could go one factor of 10 down to AWG 0 (.1 ohm per 1000 feet) and 6 factors of 2 back up to AWG 18 (6.4 ohms per 1000 feet). This gives virtually the same answer–remember this is just an approximation–but close enough for our purposes.
The reason that you should use AWG 14 with a ZW is not that you need such low resistance to keep the voltage drop low, nor that you need the ampacity for the current th