The radar system at an airport broadcasts 11 GHz microwaves with 150 kW of power. An approaching airplane with a 30 m2 cross section is 30 km away. Assume that the radar broadcasts uniformly in all directions and that the airplane scatters microwaves uniformly in all directions.

What is the electric field strength of the microwave signal received back at the airport 200 \mu s later? Express your answer in μV/m.

= μV/m

- I'm not sure if the 11 GHz or 200 μs is necessary in the problem or not. All the examples I've looked at that are similar to this problem don't include those two values in their calculations.

The strength of the amplitude electric field received back at the airport is .

The given parameters;

The relationship between wave Intensity (I), Power (P), area (A), amplitude electric field strength (E₀), and speed of light(c) is given as follows;

Thus, the strength of the amplitude electric field received back at the airport is

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Explanation:

The relationship between the power of an electromagnetic wave and the amplitude of its electric field is given by the equation:

where

P is the power of the wave

is the vacuum permittivity

E is the amplitude of the electric field

c is the speed of light

In this problem we have:

is the power of the microwaves

is the vacuum permittivity

is the speed of light

Solving for E, we find:

be subject to a force andchange its motion