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An L-band pulse radar has common transmitting and receiving antenna. The antenna having directive gain of 36 dB operates at 1.5 GHz and transmits 200 kW. The object is 120 km from the radar and its scattering cross section is 8 m2
Que: The magnitude of the scattered electric field at the radar is
- a)18 μW
- b)12 μW
- c)17 mW
- d)126 mW
Correct answer is option 'B'. Can you explain this answer?
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An L-band pulse radar has common transmitting and receiving antenna. T...
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An L-band pulse radar has common transmitting and receiving antenna. T...
The formula for the received power in radar equation is:
Pr = Pt * G^2 * lambda^2 * sigma / (4 * pi)^3 * R^4
Where:
Pr = Received power
Pt = Transmitted power
G = Antenna gain
lambda = Wavelength
sigma = Scattering cross section
R = Distance from radar to object
Substituting the given values:
lambda = c / f = 0.2 m (where c is the speed of light and f is the frequency)
G = 10^(36/10) = 4 * 10^9
R = 120000 m
Pr = 200 * 10^3 * (4 * 10^9)^2 * (0.2)^2 * 8 / (4 * pi)^3 * (120000)^4
Pr = 1.83 * 10^-14 W
The electric field can be calculated using the relation:
Pr = (E^2 * R^2 * pi * D^2) / (4 * Z0)
Where:
E = Electric field
D = Antenna diameter
Z0 = Impedance of free space
Substituting the given values:
D = lambda / pi * sqrt(4 * pi / G)
Z0 = 377 ohms
E = sqrt(4 * Pr * Z0) / (R * D * pi)
E = 18.2 V/m
Therefore, the magnitude of the scattered electric field at the radar is 18.2 V/m.
Pr = Pt * G^2 * lambda^2 * sigma / (4 * pi)^3 * R^4
Where:
Pr = Received power
Pt = Transmitted power
G = Antenna gain
lambda = Wavelength
sigma = Scattering cross section
R = Distance from radar to object
Substituting the given values:
lambda = c / f = 0.2 m (where c is the speed of light and f is the frequency)
G = 10^(36/10) = 4 * 10^9
R = 120000 m
Pr = 200 * 10^3 * (4 * 10^9)^2 * (0.2)^2 * 8 / (4 * pi)^3 * (120000)^4
Pr = 1.83 * 10^-14 W
The electric field can be calculated using the relation:
Pr = (E^2 * R^2 * pi * D^2) / (4 * Z0)
Where:
E = Electric field
D = Antenna diameter
Z0 = Impedance of free space
Substituting the given values:
D = lambda / pi * sqrt(4 * pi / G)
Z0 = 377 ohms
E = sqrt(4 * Pr * Z0) / (R * D * pi)
E = 18.2 V/m
Therefore, the magnitude of the scattered electric field at the radar is 18.2 V/m.
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An L-band pulse radar has common transmitting and receiving antenna. The antenna having directive gain of 36 dB operates at 1.5 GHz and transmits 200 kW. The object is 120 km from the radar and its scattering cross section is 8 m2Que:The magnitude of the scattered electric field at the radar isa)18 μWb)12 μWc)17 mWd)126 mWCorrect answer is option 'B'. Can you explain this answer?
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An L-band pulse radar has common transmitting and receiving antenna. The antenna having directive gain of 36 dB operates at 1.5 GHz and transmits 200 kW. The object is 120 km from the radar and its scattering cross section is 8 m2Que:The magnitude of the scattered electric field at the radar isa)18 μWb)12 μWc)17 mWd)126 mWCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about An L-band pulse radar has common transmitting and receiving antenna. The antenna having directive gain of 36 dB operates at 1.5 GHz and transmits 200 kW. The object is 120 km from the radar and its scattering cross section is 8 m2Que:The magnitude of the scattered electric field at the radar isa)18 μWb)12 μWc)17 mWd)126 mWCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An L-band pulse radar has common transmitting and receiving antenna. The antenna having directive gain of 36 dB operates at 1.5 GHz and transmits 200 kW. The object is 120 km from the radar and its scattering cross section is 8 m2Que:The magnitude of the scattered electric field at the radar isa)18 μWb)12 μWc)17 mWd)126 mWCorrect answer is option 'B'. Can you explain this answer?.
An L-band pulse radar has common transmitting and receiving antenna. The antenna having directive gain of 36 dB operates at 1.5 GHz and transmits 200 kW. The object is 120 km from the radar and its scattering cross section is 8 m2Que:The magnitude of the scattered electric field at the radar isa)18 μWb)12 μWc)17 mWd)126 mWCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about An L-band pulse radar has common transmitting and receiving antenna. The antenna having directive gain of 36 dB operates at 1.5 GHz and transmits 200 kW. The object is 120 km from the radar and its scattering cross section is 8 m2Que:The magnitude of the scattered electric field at the radar isa)18 μWb)12 μWc)17 mWd)126 mWCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An L-band pulse radar has common transmitting and receiving antenna. The antenna having directive gain of 36 dB operates at 1.5 GHz and transmits 200 kW. The object is 120 km from the radar and its scattering cross section is 8 m2Que:The magnitude of the scattered electric field at the radar isa)18 μWb)12 μWc)17 mWd)126 mWCorrect answer is option 'B'. Can you explain this answer?.
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