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A 3-phase 3-wire system provides a single-phase supply between any two wires. On a 3-phase 4-wire system with one line out but the neutral intact, the system is described as a faulty 3-phase system but it would allow a 3-phase motor to start, but not run properly.

True 2-phase systems with the voltages in quadrature (90 degrees or one quarter cycle apart) were used in the 19th century but not since then because 3-phase was found to be better.

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