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A transformer reaches its maximum efficiency when

  • A.the iron loss is at its largest possible value
  • B.it is delivering its rated output current
  • C.the copper loss equals the iron loss
  • D.the copper loss is at its smallest possible value

Answer: C

Correct answer: the copper loss equals the iron loss

Efficiency is maximised where the variable loss equals the constant loss. Differentiating the efficiency expression with respect to load gives exactly that condition, and it corresponds to a loading of \( \sqrt{P_i/P_{cu,fl}} \). Transformers expected to run lightly loaded much of the time are therefore designed with the maximum placed below full load.

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