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Transformer

A step-down t...

Question

A step-down transformer reduces the voltage of a transmission line from $2200 V$ to $220 V$ . The power delivered by it is $880 W$ and its efficiency is $88$ %. The input current is :

A

4.65 m A

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B

0.045 A

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C

0.45 A

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D

4.65 A

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Solution

The correct option is A $0.45 A$
Efficiency of transformer,
$η = \frac{Output power}{Input power}$
$\Rightarrow \frac{88}{100} = \frac{880}{P_{i}}$
$\Rightarrow P_{i} = 1000 W$
Input current, $I_{p} = \frac{P_{i}}{V_{i}}$
$= \frac{1000}{2200}$
$= 0.45 A$ .

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