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rotating field which is necessary for rotation of rotor not produce with 2 phase .

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In fact, a two-phase supply does supply a naturally-rotating field -which is one of the reasons why it was developed. However, two-phase systems are archaic and it's unlikely many individuals will ever come across one as they have been completely replaced by three-phase systems. So, I'm afraid the choice is between single phase or three phase -end of story!

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