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Primary, Secondary Voltages in Transformer

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Question

A step-down transformer is to be constructed to obtain an output voltage of 60 V by applying an input voltage of 110 V. If the primary coil has 6600 turns, then the number of turns of the secondary coil will be ___

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Solution

In a transformer,
$\frac{N_{2}}{N_{1}} = \frac{V_{2}}{V_{1}}$
$\Rightarrow \frac{60 V}{110 V} = \frac{N_{2}}{6600}$
$\Rightarrow N_{2} = 3600$

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