# Frequency-Wavelength Calculator

## Use the Frequency-Wavelength Calculator to calculate the frequency from the wavelength, or the wavelength from the frequency

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Any repetitive or cyclic behaviour can be represented by a cycle. The number of cycles completed in one second is called the frequency.

Radio waves travel at the speed of light in a vacuum. If an R.F. current has a frequency of 780,000 cycles per second, the wave will go through one complete cycle in 1/780,000 second. In that same period of time the wave will move 299,792,458/780,000 = 384.349 metres. By the time the wave has moved that distance the next cycle has begun and a new wave has started its journey. The first wave, representing one cycle, covers a distance of 384.349 metres before the beginning of the next. This distance is the wavelength.

The formula for calculating the frequency from the wavelength is:

$latex F= \frac{c}{\lambda }&s=3$

The formula for calculating the wavelength from the frequency is:

$latex \lambda =\frac{c}{F}&s=3$

Where

F = Frequency in Cycles per second (C.P.S.) or Hertz (Hz)

c = 299,792,458 = Speed of light in metres per second

λ = Wavelength in metres

**Example 1:** The frequency corresponding to a wavelength of 80 metres is

$latex F= \frac{299,792,458}{80}=3,747,406\; Cycles/sec&s=3$

**Example 2:** The wavelength corresponding to a frequency of 780 kc is

$latex \lambda =\frac{299,792,458}{780,000}=384.349\; Metres&s=3$

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### Using the Frequency-Wavelength Calculator

**Calculating the wavelength:** Enter the frequency into the *green frequency* cell and select the appropriate units. The calculated wavelength is displayed in the red cell with the option to select the units.

**Calculating the frequency:** Enter the wavelength into the *green wavelength* cell and select the appropriate units. The calculated frequency is displayed in the red cell with the option to select the units.

**Selecting units:** You can choose your preferred units of measurement through selecting the units cells and clicking the arrow to display a list of available options.

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*Reference: ARRL – The Radio Amateur’s Handbook*