Quarter Wave Transformer Impedance Calculator

Derevation of the Quarter Wave Transformer Equation

A quarter wave transformer is used to match two transmission lines with different impedances. As the name suggests, the length of this transmission line if fixed at a quarter of the wavelength (λ/4). The wavelength can be calculated based on frequency here.

The input impedance of a transmission line of length L with characteristic impedance Z_o and connected to a load with impedance Z­­_L:

When the wavelength is take to be a quarter wave (λ/4). This formula simplifies down to:

The Characteristic Impedance of Transmission Line is then given by: