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10 AWG can be solid. 8 AWG and larger should be stranded. 2008 NEC 310.3 2011 NEC 310.106(C)
Yes, a #12 AWG conductor has a greater diameter than a #14 AWG conductor. A #12 conductor has an ampacity of 20 amps whereas a #14 conductor only has an ampacity of 15 amps.
18 AWG copper wire is equivalent to 0.75mm2 nominal. The resistance of a particular copper wire depends on a number of factors like ambient temperature, the type and number of strands of conductor, when plated, the type of plating metal (e.g. tin, silver), etc.A good value to use for solid #18 AWG copper is 21.8 ohms/km.Please see the useful Related Link link below.
A 350 MCM copper conductor with an insulation rating of 90 degree C is rated at 350 amps.
3/0 awg wire