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The intensity of sound produced by the first source at P is I1, and the other intensity is I2. So what is the intensity at point P.

I see many books saying that I=I1+I2. Can you explain why?

net medium displacement vector s=vector s1+vector s2

we have I=(1/2).p.v.(w.Sm)^2 p is the density of medium, v is sound speed, Sm is displacement amplitude of s

yet I1=(1/2).p.v.(w.S1m)^2, I2 =(1/2).p.v.(w.S2m)^2

obviously I doesn't equal to I1+I2 !!!

Thank you.