Quarter Wave Transformer Calculator

Ω
Ω
Ω

This calculator determines the characteristic impedance of a quarter-wave transformer used to match two transmission lines with different impedances, ensuring minimal signal reflection and maximum power transfer.

Formula

Z₀ = √(ZL × Zin)

Formula Explanation

  • ZL is the load impedance in ohms.
  • Zin is the input impedance in ohms.
  • Z₀ represents the required transformer impedance for perfect matching.

Example

Input: ZL = 100 Ω, Zin = 50 Ω

Result: Z₀ = √(100 × 50) = 70.71 Ω

Who uses it

Helpful for RF designers and engineers working on transmission line impedance matching and antenna feed systems.