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For a single phase, two winding transformer, the supply frequency and voltage are both increased by 10%. The percentage changes in the hysteresis loss and eddy current loss, respectively, are

1. 10 and 21
2. −10 and 21
3. 21 and 10
4. −21 and 10

Correct answer: 10 and 21

Solution

Hysteresis loss in a transformer is proportional to the frequency and the maximum flux density, so a 10% increase in frequency results in a 10% increase in hysteresis loss. Eddy current loss, on the other hand, is proportional to the square of the frequency, leading to a 21% increase when frequency is raised by 10%.

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