A power transmission line feeds input power at 2300 V to a step-down transformer with its primary windings having 4000 turns. What should be the number of turns in the secondary in order to get output power at 230 V?

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Solution

Voltage of input power, V_{1} = 2300 volt Number of turns in the primary coil, n_{1} = 4000 Voltage of output power, V_{2} = 230 volt Number of turns in the secondary coil ? Using the formula for transformers, we get \frac{V_{2}}{V_{1}} = \frac{n_{2}}{n_{1}}

\Rightarrow n_{2} = n_{1} \frac{V_{2}}{V_{1}} = 4000 \times \frac{230}{2300} = 400 turns .

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