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Transformer

A transformer...

Question

A transformer with efficiency $80$ % works at $4 k W$ and $100 V$ . If the secondary voltage is $200 V$ , then the primary and secondary currents are respectively.

40 A

and

16 A

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16 A

and

40 A

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20 A

and

40 A

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40 A

and

20 A

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Solution

The correct option is A $40 A$ and $16 A$
Here, $η = 80$ %
$P_{i} = 4 k W = 4000 W$
$V_{P} = 100 V, V_{s} = 200 V$
$I_{P} = \frac{P_{i}}{V_{P}} = \frac{4000}{100} = 40 A$
$η = \frac{V_{S} I_{S}}{V_{P} I_{P}}; \frac{80}{100} = \frac{200 I_{S}}{4000} = \frac{I_{S}}{20}$
or $I_{S} = \frac{20 \times 80}{100} = 16 A$ .

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