A 5 kVA transformer has iron loss of 200 W and full load copper loss of 350 W. The maximum efficiency of the transformer would occur when the total loss is _________.

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  1. 300 W
  2. 200 W
  3. 275 W
  4. 400 W

Answer (Detailed Solution Below)

Option 4 : 400 W
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Detailed Solution

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Concept

The total losses in the transformer are:

PT = Iron loss + Copper loss

At maximum efficiency:

Iron loss = Copper loss

Thus, PT = 2 × Iron loss

Pc = (x)Pcufl

\(x=\sqrt{P_c\over P_{cufl}}\)

where, x = Fraction of loading

Calculation

Given, Iron loss = 200 W

At maximum efficiency:

PT = 2 × 200

PT = 400 W

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