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A 4-pole, 3-phase induction motor is running at a speed of 1380 rpm. If the supply frequency is 50 Hz, find the slip.

  • A.8%
  • B.6%
  • C.4%
  • D.2%

Answer: A

The synchronous speed of a 4 pole motor on a 50 Hz supply is


\[ \begin{aligned} N_s = \frac{120f}{P} = \frac{120 \times 50}{4} \\ &= 1500\ \text{rpm} \end{aligned} \]


\[ \begin{aligned} s = \frac{N_s - N}{N_s} \\ &= \frac{1500 - 1380}{1500} = \frac{120}{1500} \\ &= 0.08 = 8\% \end{aligned} \]


The values 6%, 4% and 2% would need speeds of 1410, 1440 and 1470 rpm. The answer is 8%, option A.

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