A power transmission line feeds input power at 2.3 kV to a step down transformer with its primary winding having 3000 turns. The output power is delivered at 230 V by the transformer. The current in the primary of the transformer is 5 A and its efficiency

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Solution

Q.
A power transmission line feeds input power at 2.3 kV to a step down transformer with its primary winding having 3000 turns. The output power is delivered at 230 V by the transformer. The current in the primary of the transformer is 5 A and its efficiency is 90%. The winding of transformer is made of copper. The output current of transformer is _____A. [2024]

Ans.
(45) $0.9 P_{i} = P_{o u t}$

$P_{i} = V I$

   $P_{i} = 2.3 \times 10^{3} (5) = 11.5 \times 10^{3} W$

   $P_{o u t} = (230) i_{2}$

   $(0.9) (11.5 \times 10^{3}) = 230 i_{2}$

   $i_{2} = \frac{(0.9) (11.5 \times 10^{3})}{230} = 0.045 \times 10^{3}$

   $i_{2} = 45 A$

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