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1) Is this installation for a home or a commercial use?
2) Not sure what you mean by two unequal legs? The range should have a nameplate rating and the total wattage or KW should be provided. An electric range requires 120 and 240 volts using 4 wires (2 hots, 1 neutral and 1 ground) . If this will be installed in a home, there is no such voltage as 208 VAC in a house, as that is 3-phase. An electric range installed in a single family dwelling is single phase and 120/240 VAC.
well there is no label plate, just a sticker that had two lines that read what i wrote. this is for a home installation. i have a 40A breaker and the range appears to be 52A @ 12.5 kw/240vac
1) That's kinda what I figured but just wanted to make sure there was no total wattage on the nameplate. The 120/208 rating would be used if installed within a 3-phase commercial environment. Your rating is the 120/240 or 12.5KW.
2) If you apply Watt's Law where P = I x E, P = 12,500 watts and E =240 volts. Therefore, I = 12.5KW/240VAC = 52 amps. Therefore, the double pole breaker will need to be a 60 amp and the branch conductors will need to be 6 AWG stranded copper or 3 AWG stranded aluminum.
3) The voltage drop using 240 volts at 15 feet with a load of 60 amps results in a .4% voltage drop which is way less than the recommended maximum of a 3% voltage drop for branch circuits. Therefore, 6 AWG copper is OK for the 15 foot run. No need to go to 4 AWG.
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1) Also, the receptacle will need to be a NEMA 14-60R and the plug will need to be a NEMA 14-60P (3 pole, 4 wire grounding type)
2) "X" & "Y" will be the 2 hot's, "W" will be the neutral and "G" will be the ground as labeled on the receptacle.