An 8 kW, 4-Pole, 220 V, 50 Hz reluctance motor has a torque angle of 30° when operating under rated load conditions. Calculate load torque.

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SSC JE Electrical 14 Nov 2022 Shift 3 Official Paper
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  1. TL= 71 N-m
  2. TL= 51 N-m
  3. TL= 41 N-m
  4. TL= 61 N-m

Answer (Detailed Solution Below)

Option 2 : TL= 51 N-m
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Detailed Solution

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Concept

The load torque is given by:

\(T_L={P\over ω_s}\)

\(\omega_s={4π f\over P}\)= Motor speed in rad/sec

P = Load power

f = Frequency

P = No. of poles

Calculation

Given, P = 8 kW

f = 50 Hz

P = 4

\(\omega_s={4π \times 50\over 4}\) = 50 π 

\(T_L={8 \times 10^3\over 50 \pi}\)

TL = 51 N-m

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