What Are Frequency of Beats and Effective Frequency in Wave Interference?

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The frequency of beats is calculated using the formula |f1 - f2|, representing the difference between two frequencies, while the effective frequency is determined by the average of those frequencies, given by (f1 + f2) / 2. Effective frequency describes the perceived frequency of the resultant wave when two waves interfere. In visual representations, the effective frequency corresponds to the solid line in the provided graphic, indicating the overall wave pattern. Understanding these concepts is essential for analyzing wave interference phenomena.
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So my textbook says that the equation for the frequency of beats is |{ f }_{ 1 }-{ f }_{ 2 }| and the equation for effective frequncy is \frac { { f }_{ 1 }+{ f }_{ 2 } }{ 2 }, but what is frequncy of beats and effective frequency anyways?

Edit: Opps. Should've posted it here: https://www.physicsforums.com/forumdisplay.php?f=61
 
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See:
http://hyperphysics.phy-astr.gsu.edu/%E2%80%8Chbase/audio/sumdif.html#c1

ehild
 
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ehild said:
See:
http://hyperphysics.phy-astr.gsu.edu/%E2%80%8Chbase/audio/sumdif.html#c1

ehild


Thanks for the that! But what is effective frequency? The superimposed wave looks weird like this: http://hyperphysics.phy-astr.gsu.edu/%E2%80%8Chbase/sound/imgsou/beat4.gif

So is the effective frequency the frequency of the wave in the dotted line or the solid line?
 
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The solid line.

ehild
 
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