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For two cascaded induction machines of \( P_1 \) and \( P_2 \) poles in cumulative connection, the synchronous speed is

  • A.\( 120f(P_1 + P_2) \)
  • B.\( 120f/(P_1 + P_2) \)
  • C.\( 120f/(P_1 - P_2) \)
  • D.\( 120f/P_1 \)

Answer: B

The two machines behave as one with the poles added, so a four-pole and a six-pole pair on 50 Hz runs at 600 rpm. Reversing the phase sequence to the second machine gives the differential connection and a different speed.

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