Wire size (Gauge) is determined by the Amperes the wire will be asked to carry and the distance/length of the wire. To determine the expected Amperes use the formula: Watts (P) = Voltage (E) X Amperes (I). Simplified this is P=E*I, or in terms of the Amperes it is I = P/E. Do NOT use 12 Volts as the voltage. The normal charging system voltage range is 12 to 16 volts. Since Amperes increase with increasing voltage, you must use 16 as the voltage in your calculations. Use this formula along with the attached chart to determine the proper wire gauge/size. I would consider lighting to be a "critical" circuit for the purposes of this chart.
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For example: To run two 100 Watt lights (200 Watts total) on a circuit that can see 16 volts; the amperage I would use for my calculations would be: I = 200/16 or I = 12.5 Amperes. Looking at this chart, to be on the safe side I'd use the 15 Amperes column. If the total wire length is 0-6 feet use a 14 Gauge wire, 6 to 10 feet go up to a 12 gauge wire, etc. While under-sizing the wire (higher gauge number) by a little bit, emphasis on "little," is not likely cause a safety problem, it will cause a voltage drop in the circuit that will lower the performance (light output) of the lamp.