A radio station broadcasting at a frequency of 1500 kHz generates a directional beam by using an array of 4 point source antennas driver in phase with each other by the same transmitter. The antennas are arranged along an east west line so that each antenna is 50 m from the next one.

Text Solution
Verified by ExpertsCHECK THE SOLUTION.
The antennas radiate symmetrically in all direction and in phase with each other hence radiated waves from the antennas can suffer constructive or destructive interference
The radiated signal will be a maximum in a direction perpendicular to the array since in this direction the waves are all in phase with each other.
If f is the frequency and C is the velocity of radio waves, then their wavelength λ is given by
λ =
=
or λ = 200 m.
Note that c = speed of light since the waves form part of EM spectrum
Now the spacing between the antennas in EW direction is 50 m = λ /4. Hence, in the EW direction, antennas 1 and 3 are out of phase with each other by λ /2 and so cancel each other by destructive interference. Similarly 2 and 4 cancel each other.
Thus the net signal in EW direction is zero.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems