The Quarter Wave Transformer Impedance conversion calculator computes the required characteristic impedance of a quarter-wave section used to match two transmission lines with different impedances. This technique minimizes reflection and ensures maximum power transfer between components in RF and microwave systems.
Formula
Z₀ = √(ZL × Zin)
Formula Explanation
- Z₀ is the characteristic impedance of the quarter-wave transformer.
- ZL is the load impedance connected at the end of the transformer.
- Zin is the input impedance of the source transmission line.
- The transformer length is one-quarter of the operating wavelength (λ/4), which inverts impedance to achieve a match between ZL and Zin.
Uses of this calculator
- Designing impedance matching sections in RF transmission lines.
- Reducing signal reflections and improving power transfer.
- Matching antennas, amplifiers, or filters to transmission lines.
- Optimizing performance in microwave and high-frequency circuits.
What is the quarter-wave transformer impedance for 50 ohm to 100 ohm matching?
Input: Zin = 50 Ω, ZL = 100 Ω
Output:
- Z₀ = √(50 × 100) = √5000 = 70.71 Ω
- Required Transformer Impedance = 70.71 Ω