A transformer rated at 10 kW is used to connect a 5 kV transmission line to a 240 V circuit. The ratio of turns in the windings of a transformer

Options

A. 5
B. 20.8
C. 104
D. 40

Explanation

To find the ratio of turns in the windings of a transformer connecting a 5 kV transmission line to a 240 V circuit, we can use the transformer equation that relates the primary and secondary voltages to the number of turns in the windings.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Primary Voltage (V₁) = 5 kV = 5000 V
- Secondary Voltage (V₂) = 240 V

2. **Use the Transformer Equation:**
The transformer equation is given by:
\[ \frac{V₁}{V₂} = \frac{N₁}{N₂} \]
where:
- \( V₁ \) is the primary voltage,
- \( V₂ \) is the secondary voltage,
- \( N₁ \) is the number of turns in the primary winding,
- \( N₂ \) is the number of turns in the secondary winding.

3. **Substitute the Known Values:**
Substitute the known voltages into the equation:
\[ \frac{5000}{240} = \frac{N₁}{N₂} \]

4. **Calculate the Ratio:**
To find the ratio \( \frac{N₁}{N₂} \):
\[ \frac{N₁}{N₂} = \frac{5000}{240} \]
Now, simplify this fraction:
\[ \frac{5000}{240} = \frac{5000 \div 240}{240 \div 240} = \frac{20.8333}{1} \approx 20.83 \]

5. **Final Result:**
The ratio of the number of turns in the primary winding to the secondary winding is approximately:
\[ N₁ : N₂ \approx 20.83 : 1 \]

### Conclusion:
The ratio of turns in the windings of the transformer is approximately 20.83:1.

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