It depends on the load applied. With a load of 10 amps you would loose 5 volts at 100 feet. I would not run it over 50'. This is one of the reasons I never wire any home with AWG#14 wire even though you can use it in bedrooms. I prefer to use AWG #12.
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The gauge of wire that is 12 volt is 18, 14, and 16.
No - the two have no relationship to each other at all.
A domestic D/W uses 14 gauge wire.
You listed no gauge wire. This is the required breakers.14 gauge - 15 amp12 gauge - 20 amp10 gauge - 30 amp8 gauge - 40 amp
(8) GAUGE WIRE 50lbs per 1000ft or 1lb per 20ft (12) GAUGE WIRE 19lbs per 1000ft or 1.9lbs per 100ft (14) GAUGE WIRE 12lbs per 1000ft or 1.2lbs per 100ft