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A 1 kV, 50 Hz supply to a transformer results in 650 W hysteresis loss and 400 W eddy current loss. If both the applied voltage and frequency are doubled, the new core loss would be
  • a)
    2900 W
  • b)
    2628 W
  • c)
    3120 
  • d)
    2600 W
Correct answer is option 'A'. Can you explain this answer?
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A 1 kV, 50 Hz supply to a transformer results in 650 W hysteresis loss...
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A 1 kV, 50 Hz supply to a transformer results in 650 W hysteresis loss...
Hysteresis Loss and Eddy Current Loss in a Transformer

Hysteresis loss and eddy current loss are two major sources of core losses in a transformer. Hysteresis loss is caused by the reversal of magnetization in the core material, while eddy current loss is due to circulating currents induced in the core material.

Given Information:
- Supply voltage = 1 kV
- Frequency = 50 Hz
- Hysteresis loss = 650 W
- Eddy current loss = 400 W

To find the new core loss when both the applied voltage and frequency are doubled, we need to understand the relationship between core losses and these parameters.

Effect of Voltage on Core Loss:
Hysteresis loss is directly proportional to the voltage squared, while eddy current loss is directly proportional to the voltage squared. Therefore, when the voltage is doubled, both types of losses will increase by a factor of 4.

Effect of Frequency on Core Loss:
Hysteresis loss is directly proportional to the frequency, while eddy current loss is directly proportional to the frequency squared. Therefore, when the frequency is doubled, hysteresis loss will double, and eddy current loss will increase by a factor of 4.

Calculating New Core Loss:
Since both the voltage and frequency are doubled, the new hysteresis loss will be 4 times the original hysteresis loss (650 W * 4 = 2600 W). Similarly, the new eddy current loss will be 4 times the original eddy current loss (400 W * 4 = 1600 W).

Adding the new hysteresis loss and eddy current loss together will give us the total core loss in the new conditions:
New Core Loss = New Hysteresis Loss + New Eddy Current Loss
= 2600 W + 1600 W
= 4200 W

However, none of the given answer options match this result. Therefore, the provided correct answer of 2900 W (option A) is incorrect. It seems there might be an error in the question or answer choices.
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