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Impedance Ratio Formula:
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The impedance ratio in transformers represents the square of the current ratio between the secondary and primary windings. It is a crucial parameter in transformer design and analysis, relating to the transformation of impedance between circuits.
The calculator uses the impedance ratio formula:
Where:
Explanation: The formula demonstrates that impedance transformation in a transformer is proportional to the square of the current ratio between windings.
Details: Accurate impedance ratio calculation is essential for proper impedance matching, transformer design, circuit analysis, and ensuring efficient power transfer between different parts of an electrical system.
Tips: Enter both primary and secondary current values in amperes. Ensure all values are positive, and primary current (I1) must be greater than zero.
Q1: Why is the impedance ratio squared?
A: The impedance ratio is squared because impedance transformation in ideal transformers follows the square of the turns ratio, which is inversely proportional to the current ratio.
Q2: What are typical impedance ratio values?
A: Impedance ratio values vary widely depending on transformer design and application, ranging from fractions to multiples, depending on the required impedance transformation.
Q3: When should impedance ratio be calculated?
A: Impedance ratio calculations are crucial during transformer design, impedance matching applications, audio systems, RF circuits, and power distribution systems.
Q4: Are there limitations to this calculation?
A: This calculation assumes ideal transformer conditions and may need adjustment for real-world factors like core losses, winding resistance, and leakage reactance.
Q5: How does this relate to voltage transformation?
A: For ideal transformers, the impedance ratio can also be expressed as the square of the voltage ratio, maintaining the power conservation principle.