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556.


Problem 41.25 (RHK)


An airplane flying at a distance of 11.3 km from a radio transmitter receives a signal of . We have to calculate (a) the amplitude of the electric field at the airplane due to the signal; (b) the amplitude of the magnetic field at the airplane; (c) the total power radiated by the transmitter, assuming the transmitter to radiate uniformly in all directions.


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(a)

Recall that in problem 554. 41.20 (RHK) we have shown that the amplitude of the electric field of a plane wave and intensity of the wave are related as

It is given that the intensity of the signal received by the aeroplane when it is at a distance of 11.3 km from a radio transmitter is . Therefore,

(b)

And the amplitude of the magnetic field will be

(c)

The total power radiated by the radio transmitter, assuming that it is radiating uniformly in all directions, will be