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Step-Up and Step-Down Transformer

A step down t...

Question

A step down transformer is used on $1000 V$ line to deliver $20 A$ at $120 V$ at the secondary coil. If the efficiency of the transformer is $80$ % the current drawn from the line is

3 A

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30 A

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0.3 A

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2.4 A

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Solution

The correct option is A $3 A$
from given the efficiency of the transformer is 80%
$∴ \frac{80}{100} i_{p} v_{p} = i_{s} v_{s}$

$i_{p} = \frac{5}{4} \frac{i_{s} v_{s}}{v_{p}}$ = $\frac{5}{4} \frac{(20) (120)}{1000}$ =3A

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