A power transmission line feeds input power at 2.3 kV to a step down… | JEE Main 2024 (30 Jan, Shift 2)

Q26JEE Main 2024 · 30 JAN · SHIFT 2Difficult

AC Generator & Transformer

A power transmission line feeds input power at $2.3\text{ kV}$ to a step down transformer with its primary winding having 3000 turns. The output power is delivered at $230\text{ V}$ by the transformer. The current in the primary of the transformer is $5\text{ A}$ and its efficiency is $90\%$ . The winding of transformer is made of copper. The output current of transformer is _________ $A$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 45

$P_{in} = 2300 \times 5 = 11500\text{ W}$ (turns and copper winding are not needed).
$P_{out} = 0.9 \times 11500 = 10350\text{ W}$
$I_s = \dfrac{10350}{230} = 45\text{ A}$

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