The Wavelength of Frequency

The wavelength is proportional to the reciprocal of the frequency. The wavelength of any wave is related to the frequency so that fλ = v, where f is the frequency in Hz, λ is the wavelength in meters, and v is the velocity of propagation in meters per second (m/s). Because radio waves propagate at the speed of light (which is also an electromagnetic wave), approximately 300,000,000 m/s in both free space and the earth’s atmosphere, the lowercase letter c is used to represent velocity (rather than v), so you can rewrite this expression in the form :

f(Hz) = c / λ(meters) = 3 x 10^8 / λ(meters)

These equations are sometimes abbreviated for use with the units kHz and MHz:

F (kHz) = 3 x 10^5 /λ(meters)

F(MHz) = 300 / λ (meters)

You can get an idea of the order of length of these waves  for several different frequencies: 100 kHz, 1 MHz (in the AM broadcast band), 10 MHz (in the shortwave bands), and 1000 MHz (microwave bands). If you work the equations, then you will find that these wavelengths are 3000 m (100 kHz), 300 m (1 MHz), 30 m (10 MHz), and 0.3 m, or 30 cm (1000 MHz). You can see from these numbers why 1 MHz is in what is called the medium-wave band, 10 MHz is in the short wave band, and 1,000 MHz is in the microwave (“very small” wave) band. At 100 kHz, which is 0.1 MHz, the wavelength is 3000 m, so this frequency is in the long wave

band.

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Basic Antennas is a comprehensive introduction to antennas--basic concepts, practical designs, and details of easy-to-build antennas. You ll learn how to make antennas that really work! This book will provide a foundation in antenna theory and design necessary for anyone undertaking more advanced topics such as those presented in The ARRL Antenna Book. Includes: Dipole Antennas, Antenna Impedance, Transmission Lines, Practical Two Element Arrays, Wideband and Multiband Antennas Reflector Antennas, Yagis for HF and VHF, Loop Antennas, Antennas for Microwave Applications, Vehicle Antennas, Antenna Measurements, Plus, an Introduction to Antenna Modeling...and much more!