Wave Interference at Radio Station Antennas

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Homework Help Overview

The problem involves wave interference from two radio station antennas broadcasting electromagnetic waves at a frequency of 536kHz. The original poster is tasked with determining whether constructive or destructive interference occurs at their location, given the distances of the antennas from their house.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster calculates the wavelength and expresses uncertainty about determining the type of interference. Some participants suggest that additional information is needed, specifically the position of the second antenna. Others clarify the conditions for constructive and destructive interference based on the relationship between distance and wavelength.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the interference conditions. Some guidance has been provided regarding the mathematical relationships that define constructive and destructive interference, but no consensus has been reached on the final determination.

Contextual Notes

Participants note the importance of understanding the distances involved and the relationship to the wavelength for determining interference type. There is also a mention of potential missing information that could affect the analysis.

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Homework Statement


The transmitting antenna for a radio station is 7.00km from your house. The frequency of the electromagnetic wave broadcast is 536kHz. The station builds a 2nd transmitting antenna that broadcasts an identical em wave in phase with the 1st one. The new antenna is 8.12km from your house. Show whether constructive or destructive interference occurs at your radio.

Homework Equations


v=f╗
v = c = 3 x 10^8 m/s

The Attempt at a Solution


So I found the wavelength: v/f 5.6x 10^2m, but I don't know how to tell when constructive or destructive interference occurs.
 
Last edited:
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u r lacking some quantities. The question should also include where is the 2nd transmitting antenna. Let it be d
Then if u find that d=m(lambda) where m=0,1,2... then its a constructive interference.
 
Oh I forgot to put that the new antenna is 8.12km from the house.
So if d = m(lambda) its constructive interference and if d just doesn't = m(lambda) then its destructive interference?
 
no if d=(m+1/2)(lambda) then it will be destructive. also if both doesn't follow then it will be intermediate between two
 
oh ok its a constructive.. as 1120/560 = 2.
 

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