Question
A power transmission line feeds input power at $2300V$ to a stepdown 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 $230 V?$
✓
Answer
Input voltage, $V_1 = 2300$
Number of turns in primary coil, $n_1 = 4000$
Output voltage, $V_2 = 230V$
Number of turns in secondary coil $= n_2$
Voltage is related to the number of turns as:
$\frac{\text{V}_1}{\text{V}_2}=\frac{\text{n}_1}{\text{n}_2}$
$\frac{2300}{230}=\frac{4000}{\text{n}_2}$
$\text{n}_2=\frac{4000\times230}{2300}=400$
Hence, there are $400$ turns in the second winding.
Number of turns in primary coil, $n_1 = 4000$
Output voltage, $V_2 = 230V$
Number of turns in secondary coil $= n_2$
Voltage is related to the number of turns as:
$\frac{\text{V}_1}{\text{V}_2}=\frac{\text{n}_1}{\text{n}_2}$
$\frac{2300}{230}=\frac{4000}{\text{n}_2}$
$\text{n}_2=\frac{4000\times230}{2300}=400$
Hence, there are $400$ turns in the second winding.
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