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Combination of Resistances

An ideal tran...

Question

An ideal transformer is used on $220 V$ line to deliver $2 A$ at $110 V$ . What is the current through the primary coil ?

A

10 A

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B

5 A

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C

1 A

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D

0.1 A

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Solution

The correct option is B $1 A$
$V_{P} = 220 V, I_{S} = 2 A; V_{S} = 110 V$
$\frac{V_{P}}{V_{S}} = \frac{I_{S}}{I_{P}} \Rightarrow I_{P} = \frac{V_{S}}{V_{P}} \times I_{S} = \frac{110}{220} \times 2$
$= 1 A$

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