A three-phase, 60 Hz, 25 HP, wye-connected induction motor operates at a shaft speed of almost 1800 r.p.m. at no load and 1650 r.p.m. at full load. The number of poles of the motor is

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UPSC IES Electrical 2022 Prelims Official Paper
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  1. 2
  2. 3.33
  3. 4
  4. 6.66

Answer (Detailed Solution Below)

Option 3 : 4
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Concept:

In a three-phase induction motor, synchronous speed is

Where,

N= Synchronous Speed in rpm

f = supply frequency in Hz

P = number of poles

⇒ Synchronous speed (Ns) ∝ (1 / P)

Therefore, the synchronous speed of the induction motor is inversely proportional to number of poles

Rotor full load speed, Nr = Ns (1 – s) 

Where, s = full load slip

Calculation:

Given, 

N= Synchronous Speed in rpm = 1800 rpm

f = supply frequency in Hz = 60 Hz

P = number of poles

1800 = (120 × 60)/P

P = 4

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