Ballpark estimate is 110 amps for 120V and 55amps for 240V.
There's more to it than that though. Depending on the load you'll have to derate the circuit.
This is true. Depending on the devices, the breaker is sized on 125% of the continuous loads ( runs for 3 hours or more) plus the noncontinuous. (This is a rule of thumb for most circuits!!! Obviuosly this isn't always the case, for example, motor circuits)
To answer this question a voltage must be given. By using the term service I will draw a conclusion that it is a North American service of 120/240. A #6 copper conductor will limit the voltage drop to 3 percent or less when supplying 40 amps for 200 feet on a 240 volt system. If the circuit voltage is 120 volts, then a #2 copper conductor will limit the voltage drop to 3 percent or less when supplying 40 amps for 200 feet.
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