How to find the Wavelength of a Frequency.

Tulare County ARC - JB

Staff member
Elected Director
Wavelength Info

The speed of light = 299792458 m/s Meters per Second
Formula for Wavelength equals 300 divided by the frequency in megahertz.

How do I find the wavelength of a frequency ?
In meters: 300 divided by frequency in MHz In feet: 984 divided by frequency in MHz In inches: 11,811 divided by frequency in MHz.

How do I calculate the length of wire I need to build a wire antenna. ?
(Also see comments from Dave below!)

How do I calculate the length of wire I need to build a wire antenna. ?
Full wave: 984 divided by frequency in MHz equals the length in feet Three-quarter wave: 738 divided by frequency in MHz equals the length in feet Five-eighths wave: 615 divided by frequency in MHz equals the length in feet One-half wave: 492 divided by the frequency in MHz equals the length in feet One-quarter wave: 246 divided by the frequency in MHz equals the length in feet
How do I calculate the length of wire I need to build a wire antenna. ?
Dave

These figures are correct only if you just want to get the correct wavelength equivalent. But if you use these formulas to cut an antenna, they are totaly wrong,and will not work.

Your math does not take into consideration the VELOCITY factor of coax. Cutting a 1/2 wave by using 492 divided by Freq. will be too long for the frequency. The velocity of coax, (any length) electrically adds length to the antenna. So you must compensate for that Velocity.

You must use the following math to correctly cut an antenna.

Full wave = 936 divided by frequency.
5/8 wave = 585 divided by frequency. But there must be a matching device, or 5/8 will not work at all.
1/2 wave = 468 divided by frequency. ****
1/4 wave = 234 divided by frequency. ****
1/8 wave = 117 divided by frequency

3/4 wave does not work under any circumstances. Any wavelength must always be able to divide into itself by
2. A 5/8 is an exception, and only because you MUST have some kind of matching device on the
antenna like , a gamma match, or a tuning coil. A length cut to 5/8 wavelength alone will not work at the desired frequency. It would become a 1/2 wave at a lower frequency, and mismatch.

Also. Your math says a 1/2 wave antenna for CB is 18 feet. That is an error. The CB band in the USA is 26.965 to 27.405 MHz . The center is ch.20 or 27.205 MHz. Cutting an antenna to 18 feet would be a perfect 1/2 wavelength at 26.000 MHz. 1.205 MHz lower than it should be.

To cut a 1/2 wave antenna for 27.205 MHz., take 468 divided by 27.205 = 17.2 feet. or 17 feet and 4 inches.
Your math only tells you what an exact measurement is in wavelength. But you can not cut an antenna that way. It will be too long.

Dave
Ways of expressing the frequency.

There are different ways to indicate where to find a certain station on a radio dial. For example, we could say that a station is operating on 27185 kilohertz (kHz), 27.185 megahertz (MHz), or on 11 meters, which is where the CB frequencies are.

All three ways of expressing the frequency are correct!
1,000,000 Hertz = 1000 Kilohertz = 1 Megahertz = .001 Gigahertz
 
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