A 400V, 3-phase, star-connected synchronous motor has an armature current of 200A at an effective resistance of 0.04 OHMS. The short circuit load loss at half-full load will be _________.

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SSC JE Electrical 06 Jun 2024 Shift 2 Official Paper - 1
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  1. 2100 W
  2. 2000 W
  3. 1000 W
  4. 1200 W

Answer (Detailed Solution Below)

Option 4 : 1200 W
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Detailed Solution

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Concept

The copper loss is given by:

P1 = I2 × R

At half load: 

P2 = (0.5I)2 × R = 0.25(I2 × R)

The short circuit load loss at half-full load will be:

P = 0.25(I2 × R) - (I2 × R)  = -0.75(I2 × R) 

By considering only magnitude:

P = 0.75(I2 × R) 

Calculation

Given, I = 200A 

R = 0.04Ω 

P = 0.75 × (200)2 × 0.04

P = 1200 W

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