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The effective power radiated by an antenna is directly related to its wavelength. The relationship between effective radiated power (ERP) and wavelength can be described by the concept of antenna gain.

Antenna gain is a measure of the ability of an antenna to direct or focus its radiated power in a particular direction compared to a reference antenna. It is usually expressed in decibels (dB) and represents the power gain of the antenna in a specific direction.

In general, the gain of an antenna increases as the wavelength decreases. This means that antennas designed for shorter wavelengths (e.g., higher frequency bands) tend to have higher gain compared to antennas designed for longer wavelengths (e.g., lower frequency bands).

The reason for this relationship lies in the physical characteristics of antennas. Antennas that are physically larger relative to the wavelength tend to have higher gain. As the wavelength decreases, antennas can be physically smaller, allowing for more compact designs and higher gain. Conversely, as the wavelength increases, antennas need to be larger to effectively radiate power in a specific direction, resulting in lower gain.

It's important to note that the relationship between gain and wavelength can vary depending on the specific antenna design and the operating frequency range. Different types of antennas have different gain characteristics and can be optimized for specific wavelength ranges. Therefore, it is crucial to consider the design and intended operating frequency of the antenna when discussing the relationship between effective power radiated and wavelength.

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