**Input Impedance of Lossless Transmission Line**

The characteristic impedance of a transmission line is the ratio of the amplitude of a **single** voltage wave to its current wave. Since most transmission lines also have a reflected wave, the characteristic impedance is generally **not** the impedance that is measured on the line.

For a lossless transmission line, it can be shown that the impedance measured at a given position from the load impedance is

where is the wavenumber.

In calculating, the wavelength is generally different inside the transmission line to what it would be in free-space and the velocity constant of the material the transmission line is made of needs to be taken into account when doing such a calculation.

Read more about this topic: Transmission Line

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