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Question

# A transformer has an input of 6 V and an output of 36 V. If the input is changed to 12 V, show that the output would be 72 V.

Solution

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The output voltage can be determined by the transformer relationship below.

$\dfrac{V_{1}}{N_{1}} = \dfrac{V_{2}}{N_{2}}$

Where $V_{1}$ is the input voltage and $V_{2}$ is the output voltage. $N_{1}$ is the turns of primary coil and $N_{2}$ is the turns of secondary coil.

We are asked to find the $V_{2}$ for the second case given in the problem but we do not know the numbers of turns for primary $N_{1}$ or secondary $N_{2}$. What we can do is find the ratio of $N_{2}$ to $N_{1}$ from the first case and then solve for secondary $V_{2}$ from the second case.

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