GATE EC 2014 Set 4 — Question 34
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Electromagnetics → Antennas → Poynting Vector & Power Flow
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Question
For an antenna radiating in free space, the electric field at a distance of 1 km is found to be 12 mV/m. Given that intrinsic impedance of the free space is , the magnitude of average power density due to this antenna at a distance of 2 km from the antenna (in ) is ____.
Correct answer
47.6 to 47.8
Solution
The electric field at a distance from an antenna in free space is inversely proportional to the distance:Given mV/m at km. At km, the electric field is:The average power density is given by the formula (assuming is the peak value):Given and V/m:The value is approximately 47.75.
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