https://file.aiquickdraw.com/mathbot/file/1726682311871x6y2c4i0.jpg

https://file.aiquickdraw.com/mathbot/file/1726682320753omvd5wau.jpg

This problem refers to a transformer. For transformers, the relationship between the voltage and the number of turns in the primary and secondary coils is given by the transformer equation:

\[
\frac{V_p}{V_s} = \frac{N_p}{N_s}
\]

Where:
- \( V_p \) = Primary voltage (input voltage)
- \( V_s \) = Secondary voltage (output voltage)
- \( N_p \) = Number of turns in the primary winding
- \( N_s \) = Number of turns in the secondary winding

### Given values:
- \( V_p = 240 \, \text{V} \)
- \( V_s = 48 \, \text{V} \)
- \( N_s = 100 \, \text{turns} \)

We need to find \( N_p \), the number of turns in the primary winding.

From the equation:

\[
\frac{V_p}{V_s} = \frac{N_p}{N_s}
\]

Rearranging to solve for \( N_p \):

\[
N_p = \frac{V_p}{V_s} \times N_s
\]

Substituting the known values:

\[
N_p = \frac{240 \, \text{V}}{48 \, \text{V}} \times 100 \, \text{turns}
\]

Let's calculate that.The number of turns required in the primary winding is 500 turns.

Would you like more details on transformer calculations or have any further questions?

Here are 5 related questions:
1. How does the efficiency of a transformer affect its performance?
2. What happens if the primary and secondary windings have the same number of turns?
3. How can the power loss in a transformer be minimized?
4. What is the role of the core material in a transformer?
5. How does the load on the secondary winding affect the input current?

**Tip:** In ideal transformers, the input and output power (voltage times current) remain the same, even though voltage and current individually change.

To produce an output of 48 V a.c. from an input of 240 V a.c., how many turns would be required in the primary winding if there were 100 turns in the secondary?

Learn how to calculate the number of turns required in the primary winding of a transformer to produce an output of 48 V from an input of 240 V. Using the transformer equation, this example demonstrates the relationship between voltage and turns.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation