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Transformer Turn Ratio Calculator

Transformer Turn Ratio Formula:

\[ \text{Turn Ratio} = \frac{N_p}{N_s} \]

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1. What is Transformer Turn Ratio?

The transformer turn ratio is the ratio of the number of turns in the primary winding (Np) to the number of turns in the secondary winding (Ns). This ratio determines the voltage transformation between primary and secondary circuits.

2. How Does the Calculator Work?

The calculator uses the turn ratio formula:

\[ \text{Turn Ratio} = \frac{N_p}{N_s} \]

Where:

Explanation: The turn ratio directly determines the voltage transformation ratio and inversely affects the current transformation ratio in a transformer.

3. Importance of Turn Ratio Calculation

Details: Accurate turn ratio calculation is crucial for transformer design, voltage regulation, impedance matching, and ensuring proper operation in electrical power systems.

4. Using the Calculator

Tips: Enter the number of primary turns and secondary turns as positive integers. Both values must be greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between turn ratio and voltage?
A: The voltage ratio equals the turn ratio. Vp/Vs = Np/Ns, where Vp is primary voltage and Vs is secondary voltage.

Q2: How does turn ratio affect current?
A: The current ratio is inversely proportional to the turn ratio. Ip/Is = Ns/Np, where Ip is primary current and Is is secondary current.

Q3: What is a typical turn ratio range?
A: Turn ratios can range from less than 1 (step-up transformer) to greater than 1 (step-down transformer), depending on the application requirements.

Q4: How does turn ratio affect impedance?
A: The impedance transformation ratio equals the square of the turn ratio. Zp/Zs = (Np/Ns)², where Zp is primary impedance and Zs is secondary impedance.

Q5: Can turn ratio be less than 1?
A: Yes, a turn ratio less than 1 indicates a step-up transformer where secondary voltage is higher than primary voltage.

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