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PhysicsEMI/ACTransformerMedium2 minPYQ_2024

PhysicsMediumnumerical

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 ____ $A$ .

Answer:

45.00

Solution:

Given:
Input power, $P_{i} = 2300 \times 5 watt$
Output power, $P_{0} = 2300 \times 5 \times 0.9$
Now, we can write $η = \frac{P_{out}}{P_{in}} = \frac{V_{S} I_{S}}{V_{P} I_{P}}$
$\Rightarrow 0.9 = \frac{230 I_{S}}{2300 \times 5} \Rightarrow I_{S} = 45 A .$

Stream:JEESubject:PhysicsTopic:EMI/ACSubtopic:Transformer

⏱ 2mℹ️ Source: PYQ_2024

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