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Calculate Transformer Turns Ratio

Turns Ratio Formula:

\[ \text{Turns Ratio} = \sqrt{\frac{Z_1}{Z_2}} \]

ohms
ohms

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1. What is the Turns Ratio?

The turns ratio is a fundamental parameter in transformer design that represents the ratio of the number of turns in the primary winding to the number of turns in the secondary winding. It determines the voltage transformation and impedance matching characteristics of the transformer.

2. How Does the Calculator Work?

The calculator uses the turns ratio formula:

\[ \text{Turns Ratio} = \sqrt{\frac{Z_1}{Z_2}} \]

Where:

Explanation: The formula calculates the square root of the impedance ratio, which equals the turns ratio for an ideal transformer due to the impedance transformation property.

3. Importance of Turns Ratio Calculation

Details: Accurate turns ratio calculation is essential for proper impedance matching, voltage transformation, power transfer efficiency, and preventing signal reflection in electrical systems.

4. Using the Calculator

Tips: Enter both primary and secondary impedance values in ohms. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between turns ratio and voltage?
A: The turns ratio equals the voltage ratio: N1/N2 = V1/V2, where N is number of turns and V is voltage.

Q2: Can I calculate turns ratio from voltage measurements?
A: Yes, turns ratio can be directly calculated as V1/V2 when voltage measurements are available.

Q3: What are typical turns ratio values?
A: Turns ratio values vary widely depending on application, from step-up ratios >1 to step-down ratios <1, with common values ranging from 0.1 to 10.

Q4: Does this formula work for all transformer types?
A: This formula applies to ideal transformers. Real transformers may have slight variations due to losses and non-ideal characteristics.

Q5: How does turns ratio affect power transfer?
A: Proper turns ratio ensures maximum power transfer by matching source and load impedances, minimizing reflections and power loss.

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