# Lossless Transmission Line Wavelength Formula & Calculator

## Transmission Line Wavelength (λ) Calculation

V - Velocity of propagation
f - Sinusoidal frequency (Hz)

transmission line wavelength (λ) calculator - step by step calculation, formula & solved example problem to find the wavelength of the lossless transmission line. Velocity of propagation (U) & sinusoidal frequency (f) are the key elements of this calculation. Wavelength is a wave between any two points. Velocity of propagation (VoP) is the speed of wave propagation, also known as velocity factor (VF). Sinusoidal wave frequency is the number of complete sine wave cycle per second.

## Formula

The below mathematical formula is used in this calculator to find the wavelength (λ) of the transmission line

### Solved Example

The below step by step solved example problem may helpful for users to understand how the input values are being used in such calculations to find the wavelength (λ) of the transmission line.
Example Problem
Find the wavelength (λ) of the transmission line whose velocity of propagation U = VoP = 3 x 108 m/s & sinusoidal frequency f = 1000 Hz.
Solution
The given data
velocity of propagation U = VoP = 3 x 108 m/s
sinusoidal frequency f = 1000 Hz

Step by step calculation
Formula to find (λ) = U/f
substitute the values in the above formula
= 3 x 108/1000
(λ) = 3 x 105 meters

In the field of electrical engineering, while changing the velocity factor & frequency, it's required to calculate the wavelength λ for transmission line. The above formula, step by step calculation & solved example problem may be useful for users to understand how the values are being used in the formula to find the wavelength of the transmission line, however, when it comes to online for quick calculations, this calculator helps the user to perform & verify such calculations as quick as possible.

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