During a test, a NATO surveillance radar system, operating at 23 GHz at 197 kW of power, attempts to detect an incoming stealth aircraft at 101 km. Assume that the radar beam is emitted uniformly over a hemisphere. (a) What is the intensity of the beam when the beam reaches the aircraft's location

Answer :

Answer:

Intensity will be equal to [tex]3.07\times 10^{-6}W/m^2[/tex]

Explanation:

We have given power P = 197 kW = 197000 watt

Distance R = 101 km

Area of the hemisphere will be [tex]A=2\pi R^2[/tex]

[tex]A=2\times 3.14\times 101000^2=6.4\times 10^{10}m^2[/tex]

We have to find the intensity

Intensity is equal to [tex]I=\frac{P}{A}[/tex]

[tex]I=\frac{1.97\times 10^5}{6.4\times 10^{10}}=3.07\times 10^{-6}W/m^2[/tex]

So intensity will be equal to [tex]3.07\times 10^{-6}W/m^2[/tex]

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