show that the decay of power density for a wave radiated by an antenna (1/r2) results from the increase in the area of a sphere centered on the antenna and the fact that the total radiated power is conserved.

Respuesta :

The answer is P/4π[tex]r^{2}[/tex] or 1/r2

How to calculate radiated power density?

Radiated power density = S

Radiator = r

S = K/r2

Area of the sphere surrounding the antenna [tex]A_{sph}[/tex] = 4π[tex]r^{2}[/tex]

The total power radiated through a sphere of radius r is

P = [tex]S[/tex][tex]A_{sph}[/tex] = (K/r2)4π[tex]r^{2}[/tex]

               = 4πK≈r°

Therefore,

The total power radiated remains constant with radius

S = P/[tex]A_{sph}[/tex]

  = P/4π[tex]r^{2}[/tex] or 1/r2

To learn more about power density, refer

https://brainly.com/question/13035557

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