How Does Antenna Spacing Affect Signal Intensity at a Distance?

AI Thread Summary
Antenna spacing significantly impacts signal intensity due to constructive and destructive interference patterns. To maximize intensity at a distant receiver (position B), the distance d between antennas must be adjusted to ensure that the emitted waves are in phase when they reach the receiver. This involves calculating the optimal spacing based on the wavelength and the phase adjustments of each antenna. Understanding the relationship between antenna configuration and interference is crucial for achieving the desired signal strength. Properly configuring the antennas can enhance the overall signal reception at greater distances.
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Homework Statement


The four antennas are arranged in a square with side length d and each of the antennas has an adjustable phase of the radiation emitted. The intensity of radiation emitted by each antenna is I1 with wavelength λ. A receiver is placed at locations A (at the center of the antenna array), B (much farther from the array than d, due east), and C (much farther from the array than d, due south-east). http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys214/oldexams/exam1/sp08/fig5.gif

How should the distance d be adjusted so that the maximum possible intensity is received at position B? (Assume φ1 = φ2 = φ3 = φ4 and remember that B is far away.)

Homework Equations




The Attempt at a Solution



I am not even getting close to the question..

Could anyone give me a hint or help approach to this question..?
 
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Think constructive and destructive interference.
 

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