This is a voltage drop question. To answer this question a voltage has to be stated. The higher the voltage to the circuit becomes the smaller the wire size needed. After a certain voltage point the wire size will remain constant and the voltage drop at the load will become smaller.
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For a 15 amp circuit over 200 feet, it's recommended to use a 12-gauge wire to ensure proper voltage drop and safe operation. This larger wire size helps to minimize voltage drop over the longer distance and reduce the risk of overheating.
For a 15 amp circuit over 200 feet, it is recommended to use a 14-gauge wire to ensure proper voltage drop. This gauge wire will help maintain the integrity of the electrical supply over that distance.
A #14 copper wire with an insulation factor of 90 degrees C is rated at 15 amps. To answer your question for voltage drop at 200 feet a voltage needs to be stated. Assuming the voltage of 120 is used to maintain 15 amps at the distance of 200 feet a #6 copper conductor will limit the voltage drop to less that 3 percent. Assuming the voltage of 240 is used to maintain 15 amps at the distance of 200 feet a #10 copper conductor will limit the voltage drop to less that 3 percent.
Each hot leg to the neutral wire of the service has the ampacity of 200 amps, that is why 3/0 wire is required. A 3/0 copper wire with an insulation factor of 90 degrees C is rated at 210 amps.
A 3/0 copper conductor with an insulation rating of 75 or 90 degrees C is rated at 200 and 210 amps respectively. A 3/0 copper conductor will limit the voltage drop to 2% or less when supplying 200 amps for 80 feet on a 240 volt system.
For a residential 200 amp service, it is recommended to use 3/0 copper or 250 MCM aluminum wire for the service entrance. Make sure to consult with a licensed electrician to ensure that the wire size meets local building codes and regulations.