Question

When the primary of a transformer is energized at rated voltage of 1000 V and at rated frequency of 50 Hz, it takes 5 A and 2000 W at no load. Another transformer has all its core dimensions $\sqrt{3}$ times the corresponding core dimensions of first transformer. Number of primary turns, type of core material and lamination thickness are the same in both transformers. If the primary of second transformer is energised from 22000 V, 50 Hz supply, the no load power drawn by it is_____ W.

• A. 10392.304

Answer 1

The correct option is A 10392.304
$\text{Core loss}\propto \text{Volume}$

$\frac{P_{C_2}}{P_{C_1}}={\left(\frac{\text{dimension}2}{\text{dimension 1}}\right)}^3=(\sqrt{3}{)}^3$

$P_{C2}=3\sqrt{3}\times 2000$

$=10392.304W$