I read in sci.engr.electrical.compliance that Joe 90 wrote (in ) about '30A wiring advice - a complication?', on Wed, 1 Oct 2003:
NOT TO GROUND! That would be deadly dangerous!
They ARE NOT in phase. The fat that you have to ask this question indicates that you are in out of your depth. There is no blame for not knowing, but there IS for dealing with things that you don't know about.
Simple logic would tell you that your assumptions are wrong, because the US system works, whereas you 'proved' it couldn't.
The neutral is very definitely not a safety ground and must not ever be used as one.
Are these wires internal to the dryer? If so, the NEC ampacity tables don't apply, because the installation conditions are different.
No.
No, not if the dryer was designed correctly in the first place. Does it have a UL sticker?
AWG10 has an area of 0.008155 sq. in., which is 5.26 sq. mm. AWG 12 has
0.005129 sq. in., which is 3.3 sq. mm. As multicore building installation cables, these would, if they were standard sizes, be rated at roughly 30A and 20 A respectively in Europe. But as single-conductor cables, inside an appliance, the current ratings might be MUCH higher (around 43 A and 35 A), depending on the insulating material and the local ambient temperature.