(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Two loudspeakers emit sound waves along the x axis. Speaker 2 is 2.0 m behind speaker 1. Both loudspeakers are connected to the same signal generator, which is oscillating at 340 Hz, but the wire to speaker 1 passes through a box that delays the signal by 1.47 ms.

Is the interference along the x axis perfect constructive, perfect destructive or something in between?

2. Relevant equations

3. The attempt at a solution

340 m/s = (340 Hz) * [tex]\lambda[/tex]

[tex]\lambda[/tex]= 1.0 m

First, turning to the formula deltaphi= 2pi * (deltax/wavelength)

plugging in the values delta phi = 2pi*(2.0m/1.0 m) = 4pi

and so I came up with perfect constructive.

Is this correct? I am trying to think about how the delay would affect the interference of the waves, so if anyone could offer a good explanation of why the delay does or does not affect the superposition, I would greatly appreciate it.

Thanks

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# Loudspeaker interference

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