Part of JWAVE-02 — Waves: Standing Waves, Beats & Doppler Effect

Intensity and Amplitude Relationship

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Intensity of a wave: I=12ρvω2A2A2I = \frac{1}{2}\rho v \omega^2 A^2 \propto A^2. When two waves of amplitudes A1A_1 and A2A_2 interfere: Imax=(A1+A2)2I_{\max} = (A_1+A_2)^2 and Imin=(A1A2)2I_{\min} = (A_1-A_2)^2 (proportional). Ratio: Imax/Imin=(A1+A2)2/(A1A2)2I_{\max}/I_{\min} = (A_1+A_2)^2/(A_1-A_2)^2. In decibels: sound level β=10log10(I/I0)\beta = 10\log_{10}(I/I_0) where I0=1012I_0 = 10^{-12} W/m2^2.

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