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In a test for the determination of the losses of 400 V, 50 Hz transformer, the total iron losses were found to be 2500 W at normal voltage and frequency. When the applied voltage and frequency were reduced to 250 V, 25 Hz, the total iron losses were found to be 1000 W. The hysterisis losses at normalvoltage and frequency is ______
  • a)
    100W    
  • b)
    1500 W
  • c)
    500 W    
  • d)
    2000 W
Correct answer is option 'B'. Can you explain this answer?
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Total Iron Losses Calculation:
- Normal voltage and frequency: 2500 W
- Applied voltage and frequency: 1000 W
- Formula: Total iron losses = Hysterisis losses + Eddy current losses

Eddy Current Losses Calculation:
- Formula: Eddy current losses ∝ (frequency)^2
- Normal frequency: 50 Hz
- Applied frequency: 25 Hz
- Ratio of applied frequency to normal frequency: 0.5
- Eddy current losses at normal voltage and frequency: X
- Eddy current losses at applied voltage and frequency: 0.5^2 * X = 0.25X

Hysterisis Losses Calculation:
- Formula: Hysterisis losses ∝ (frequency)
- Normal frequency: 50 Hz
- Applied frequency: 25 Hz
- Ratio of applied frequency to normal frequency: 0.5
- Hysterisis losses at normal voltage and frequency: Y
- Hysterisis losses at applied voltage and frequency: 0.5 * Y = 0.5Y

Total Iron Losses Calculation (using eddy current losses and hysterisis losses formula):
- Normal voltage and frequency: 2500 = X + Y
- Applied voltage and frequency: 1000 = 0.25X + 0.5Y
- Solve for Y: Y = 1500 W

Therefore, the hysterisis losses at normal voltage and frequency is 1500 W (option B).
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In a test for the determination of the losses of 400 V, 50 Hz transformer, the total iron losses were found to be 2500 W at normal voltage and frequency. When the applied voltage and frequency were reduced to 250 V, 25 Hz, the total iron losses were found to be 1000 W. The hysterisis losses at normalvoltage and frequency is ______a)100W b)1500 Wc)500 W d)2000 WCorrect answer is option 'B'. Can you explain this answer?
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