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Question

# A transformer has an input of 9 volts and an output of 36 volts. If the input is changed to 12 volts, what will the output be?

Solution

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Relationship between primary and secondary voltages is given by the relation

\begin{align*} \frac{ \text{primary voltage} }{ \text{number of primary turns} } &= \frac{ \text{secondary voltage} }{ \text{number of secondary turns} }. \tag{1} \end{align*}

We can rearrange relation (1) to get

\begin{align*} \frac{ \text{number of secondary turns} }{ \text{number of primary turns} } &= \frac{ \text{secondary voltage} }{ \text{primary voltage} }. \tag{2} \end{align*}

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