Transformer Calculator Primary and Secondary

Transformer Turns Ratio Equation:

\[ N_{secondary} = N_{primary} \times \left(\frac{V_{secondary}}{V_{primary}}\right) \]

Primary Turns (N_primary):

turns

Primary Voltage (V_primary):

volts

Secondary Voltage (V_secondary):

volts

Secondary Turns (N_secondary):

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1. What is the Transformer Turns Ratio?

The transformer turns ratio is the ratio of the number of turns in the primary winding to the number of turns in the secondary winding. It determines the relationship between primary and secondary voltages in a transformer.

2. How Does the Calculator Work?

The calculator uses the transformer turns ratio equation:

\[ N_{secondary} = N_{primary} \times \left(\frac{V_{secondary}}{V_{primary}}\right) \]

Where:

\( N_{primary} \) — Number of turns in primary winding
\( N_{secondary} \) — Number of turns in secondary winding
\( V_{primary} \) — Voltage in primary winding (volts)
\( V_{secondary} \) — Voltage in secondary winding (volts)

Explanation: The equation shows that the ratio of turns is equal to the ratio of voltages in an ideal transformer.

3. Importance of Turns Ratio Calculation

Details: Accurate turns ratio calculation is crucial for transformer design, voltage conversion, impedance matching, and ensuring proper operation of electrical systems.

4. Using the Calculator

Tips: Enter primary turns, primary voltage, and secondary voltage. All values must be positive numbers. The calculator will determine the required secondary turns.

5. Frequently Asked Questions (FAQ)

Q1: What is an ideal transformer?
A: An ideal transformer is a theoretical concept with no losses, perfect coupling, and where the turns ratio exactly equals the voltage ratio.

Q2: How does the turns ratio affect current?
A: In an ideal transformer, the current ratio is inversely proportional to the turns ratio (\( I_{secondary}/I_{primary} = N_{primary}/N_{secondary} \)).

Q3: What about real transformers?
A: Real transformers have losses (copper losses, core losses) and leakage inductance that make them less than ideal.

Q4: Can I use this for step-up and step-down transformers?
A: Yes, the same equation works for both step-up (V_secondary > V_primary) and step-down (V_secondary < V_primary) transformers.

Q5: What if I know the secondary turns instead?
A: You can rearrange the equation to calculate primary turns if you know the secondary turns and both voltages.