This calculator determines the characteristic impedance (Z₀) of a quarter-wave transformer used to match two transmission lines with different impedances. This technique is common in radio frequency to minimize reflections and maximize power transfer.
Formula
Z₀ = √(ZL × Zin)
Explanation of the formula
The formula calculates the intermediate impedance (Z₀) necessary for a quarter-wave transformer to achieve perfect matching between a load (ZL) and a source or input line (Zin). The value obtained is the geometric mean of the two impedances, thus guaranteeing optimal adaptation over a narrow frequency band.
Uses of the calculator
- RF circuit design with precise impedance matching.
- Optimization of power transfer in transmission lines.
- Useful for engineers and technicians working on filters, antennas and amplifiers.
- Helps reduce losses due to reflections in microwave systems.