GATE EE 2026 Set 1 — Question 31
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Electrical Machines → Single-Phase Transformers → Equivalent Circuit & Phasor
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Question
A 220V/12V single-phase transformer is designed for use in India and rated 100 VA at 50 Hz. Later, this unit is shipped to the USA where it is used as a 110V/6V transformer at 60 Hz. Which of the following statements is/are correct?
Correct answer
(A) No-load current drawn would be smaller for operation in the USA compared to that in India
Solution
1.Peak Magnetic Flux Density (): .
- In India: .
- In USA: .
2.No-load Current (): The magnetizing component of no-load current . Since is significantly lower in the USA, the no-load current will be smaller. Statement (A) is correct.
3.Eddy Current Losses (): (assuming constant core volume and material).
- and .
- .
4.Total Losses: Hysteresis losses . Since both is lower and is lower, core losses are significantly reduced. For the same load current, copper losses remain the same. Thus, total losses in the USA will be lower than in India. Statement (B) is incorrect.
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