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This is a voltage drop question and without a voltage the question can not be answered. As service voltages increase the wire size is allowed to be reduced. Assuming that the 200 amp service is for a home, the voltage of 240 volts will be used in the calculation.

A 3/0 copper conductor will limit the voltage drop to 3% or less when supplying 200 amps for 160 feet on a 240 volt system.

The code should be consulted on this installation as the utility company might not allow wires with no over current protection to come from the bottom of their meter to an underground service. There is a meter base in the market place that has an over current device mounted directly below the meter socket. This breaker will fulfill the requirement if the utility company says no to your original installation idea.

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Q: What size wire would you run from 200 amp meter box underground 160 ft to a 200 amp breaker box?
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