The U.S. Navy has long proposed the construction of extremely low frequency (ELF waves) communications systems; such waves could penetrate the oceans to reach distant submarines. Calculate the length of a quarter-wavelength antenna for a transmitter generating ELF waves of frequency 77 Hz.

Respuesta :

Answer:

length of a quarter wavelength antenna for transmitter elf waves are zero

Explanation:

Find the length of a quarter wavelength antenna for transmitter elf waves

Given information

frequency (ELF waves) → 77Hz

Speed of light → 3[tex]\times[/tex][tex]10^8[/tex]m/s

[tex]v=\lambda f-------------1[/tex]

where

[tex]\lambda\\[/tex] → wavelength of the antenna

f → frequency of the ELF waves

[tex]v[/tex] →  speed of light

so rewrite the equation in [tex]\lambda[/tex] from

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

Substitute [tex]3\times10^8m/s[/tex] = [tex]v[/tex]

Substitute 75Hz = f

[tex]\lambda=\dfrac{3\times10^8m/s}{77Hz}[/tex]

[tex]=3.9\times 10^6[/tex]m

since we get this value,but this size of antenna mount on submarine is not possible.

so [tex]\lambda[/tex] is zero

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