Problem 2: The radar system at an airport broadcasts 11 GHz microwaves with Pem = 150 kW of power. An approaching airplane with an A = 31 m² cross section is d = 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? a) Since the radar broadcasts uniformly in all direction, the intensity of the emitted signal at a distance d away from the source can be found as lem = Pem. Assuming that the airplane scatters all the radiation that hits its cross section, how much energy per unit time will be available for the airplane to scatter? 4rd².

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Hello, I really need help with part A and part B because I am confused on how to do the problems so there any way u can help me with part a and b and can you label it as well

Problem 2: The radar system at an airport broadcasts 11 GHz microwaves with Pem= 150 kW of power.
An approaching airplane with an A = 31 m² cross section is d = 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?
a) Since the radar broadcasts uniformly in all direction, the intensity of the emitted signal at a distance
d away from the source can be found as Iem = Pem. Assuming that the airplane scatters all the radiation
that hits its cross section, how much energy per unit time will be available for the airplane to scatter?
4rd².
b) Now assume that the airplane itself is a point source of radiation with the power that you computed
in the previous step. Find the intensity I of this radiation at the location of the airport (assume that during
the signal propagation time the distance from the airplane to the airport did not change). From the relation
I = CEE compute the electric field strength in the received wave. (Answer: Eo = 5.2 × 10-6 Vm-¹)
2
Transcribed Image Text:Problem 2: The radar system at an airport broadcasts 11 GHz microwaves with Pem= 150 kW of power. An approaching airplane with an A = 31 m² cross section is d = 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? a) Since the radar broadcasts uniformly in all direction, the intensity of the emitted signal at a distance d away from the source can be found as Iem = Pem. Assuming that the airplane scatters all the radiation that hits its cross section, how much energy per unit time will be available for the airplane to scatter? 4rd². b) Now assume that the airplane itself is a point source of radiation with the power that you computed in the previous step. Find the intensity I of this radiation at the location of the airport (assume that during the signal propagation time the distance from the airplane to the airport did not change). From the relation I = CEE compute the electric field strength in the received wave. (Answer: Eo = 5.2 × 10-6 Vm-¹) 2
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