# Differences

This shows you the differences between two versions of the page.

 phy131studiof15:lectures:chapter18 [2015/11/09 08:42]mdawber [Reflection and transmission] phy131studiof15:lectures:chapter18 [2015/11/09 08:51]mdawber [Interference between two speakers] Both sides previous revision Previous revision 2015/11/09 08:51 mdawber [Interference between two speakers] 2015/11/09 08:51 mdawber [Interference between two speakers] 2015/11/09 08:42 mdawber [Reflection and transmission] 2015/11/09 08:41 mdawber [Reflection and transmission] 2015/11/05 16:48 mdawber [Beats] 2015/11/05 16:46 mdawber [Open and closed pipes] 2015/11/05 14:09 mdawber [Standing Waves on a String - Both ends fixed] 2015/11/05 14:07 mdawber [Interference between two speakers] 2015/07/22 11:37 mdawber [A flaming tube] 2015/07/22 11:35 mdawber [Reflection and transmission] 2015/07/22 11:34 mdawber [Principle of Superposition] 2015/07/22 11:32 mdawber created Next revision Previous revision 2015/11/09 08:51 mdawber [Interference between two speakers] 2015/11/09 08:51 mdawber [Interference between two speakers] 2015/11/09 08:42 mdawber [Reflection and transmission] 2015/11/09 08:41 mdawber [Reflection and transmission] 2015/11/05 16:48 mdawber [Beats] 2015/11/05 16:46 mdawber [Open and closed pipes] 2015/11/05 14:09 mdawber [Standing Waves on a String - Both ends fixed] 2015/11/05 14:07 mdawber [Interference between two speakers] 2015/07/22 11:37 mdawber [A flaming tube] 2015/07/22 11:35 mdawber [Reflection and transmission] 2015/07/22 11:34 mdawber [Principle of Superposition] 2015/07/22 11:32 mdawber created Line 45: Line 45: - If the waves propagate from the source in all 3 dimensions then we need to take in to account that  as we showed in [[phy141:lectures:27&#​energy_in_a_wave|lecture 27]], $A\propto\frac{1}{r}$. To determine [[phy141:lectures:29&#​loudness_and_decibels|perceived loudness]] we need to remember that it depends logarithmically on intensity. I have factored these considerations in the following calculations I performed in Maple. The patterns are for two speakers separated by 1m. + If the waves propagate from the source in all 3 dimensions then we need to take in to account that  as we showed in [[phy131studiof15:lectures:chapter17|chapter 17]], $A\propto\frac{1}{r}$. To determine [[phy131studiof15:lectures:chapter17&#​loudness_and_decibels|perceived loudness]] we need to remember that it depends logarithmically on intensity. I have factored these considerations in the following calculations I performed in Maple. The patterns are for two speakers separated by 1m. {{speakerinteference.png}}\\ {{speakerinteference.png}}\\