Transformer Voltage Ratio Equation:
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The transformer voltage ratio describes the relationship between the input and output voltages of a transformer, which is directly proportional to the ratio of the number of turns in the secondary and primary coils.
The calculator uses the transformer voltage ratio equation:
Where:
Explanation: The voltage ratio is directly proportional to the turns ratio. Increasing secondary turns increases output voltage, while increasing primary turns decreases output voltage.
Details: Understanding the voltage ratio is crucial for designing transformers for specific applications, whether stepping up or stepping down voltage for power transmission or electronic circuits.
Tips: Enter input voltage in volts, number of turns for both primary and secondary coils. All values must be positive numbers.
Q1: Does this equation work for ideal transformers?
A: Yes, this equation describes an ideal transformer with no losses. Real transformers have additional factors like core losses and winding resistance.
Q2: What is the relationship with current?
A: For an ideal transformer, \( V_{in} \times I_{in} = V_{out} \times I_{out} \). Current is inversely proportional to voltage.
Q3: Can I use this for step-up and step-down transformers?
A: Yes, the equation works for both. When \( N_{out} > N_{in} \) it's step-up, when \( N_{out} < N_{in} \) it's step-down.
Q4: How accurate is this for real transformers?
A: It gives the theoretical maximum. Real transformers have efficiency losses (typically 95-99% for large power transformers).
Q5: Does frequency affect the voltage ratio?
A: Not directly in the ratio, but transformers must be designed for specific frequencies to operate properly.