Electrical Machines
The core flux in transformer depends mainly on

 supply voltage and load
 supply voltage, frequency and load
 supply voltage
 supply voltage and frequency

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Electrical Machines
The 3 - Φ induction motors are, by a very considerable margin, the most widely used AC motors as

  they are capable of operation under range of leading and lagging pf.
  these are cheaper in cost, simple and rugged in construction.
  they have maximum efficiency and maximum starting torque.
  they have very good speed regulation.

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