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In order to effectively radiate a radio signal, an antenna must be at least one-half the wavelength of transmission in length, i.e., minimum antenna height = 1/2(λ). WITY operates at a frequency of 980.0 kHz. What is the minimum height (m) of the antenna that WITY (nostalgia radio) must have?,

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Kalahira
The equation that relates Wavelength & frequency of electromagnetic waves is : Velocity (c) = Wavelength (λ) * frequency (f) ------ (1) Electromagnetic wave velocity (c) = Speed of Light = 3 * 10^8 m/s From (1), Wavelength , λ = c / f λ= (3*10^8)/(980*10^3) λ = 306.12 m Minimum height of the antenna for effective transmission = λ * 0.5 = 306.12*0.5 Answer : 153 m (rounded off)

The wavelength of the is the distance of corresponding points between the two consecutive waves.

The minimum height (m) of the antenna that WITY (nostalgia radio) must have is 153.06 meters.

What is the wavelength?

The wavelength of the is the distance of corresponding points between the two consecutive waves.

It can be given as,

[tex]\lambda=\dfrac{c}{f}[/tex]

Here [tex]c[/tex] is the speed of light and [tex]f[/tex] is the frequency of the wave.

Given information-

The minimum height of the antenna is 1/2(λ).

The frequency on which the radio operates is 980.0 kHz.

As the speed of light is [tex]3\times 10^8\rm m/s[/tex]. Thus, find the value of wavelength using the above formula first,

[tex]\lambda=\dfrac{3\times 10^8\rm}{980\times10^3}\\\lambda=306.122\rm m[/tex]

Suppose the minimum height of the antenna is x meters. As the minimum height of the antenna is 1/2(λ). Thus,

[tex]x=\dfrac{1}{2} \times306.122\\x=153.06[/tex]

Hence, the minimum height (m) of the antenna that WITY (nostalgia radio) must have is 153.06 meters.

Learn more about the minimum height of antenna here;

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