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Assuming it has the average appliances, heating and cooling systems, electrical outlets, etc, 200 amps should pull it, depending on the heat and air conditioning systems used.

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A 200 amp panel is the norm these days for an ordinary 2000 sq. ft. home. A home of 4700 sq. ft. would take a 400 amp service.

Calculations on a house sometimes can be complicated, assuming standard equipment and all electric, I came up with a load of 218 amps. You could then use a 250 amp service. Use gas for heating and you could fall around the 200 amp size.

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