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InterferenceExamples

# InterferenceExamples - Examples 1.A frequency generator in...

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Examples 1 .A frequency generator in DL creates a sinusoidal signal: Signal t ( )= A sin 2 ! t 0.00025 s ( ) + ! 2 " # \$ \$ % . This generator is connected to two speakers. However, speaker 2 has its wires switched, with respect to the correctly wired speaker 1. Assume that the sound waves generated by these speakers are 1D. (a) What are the harmonic sound wave functions for the sounds produced by speaker 1 and for speaker 2? (b) At time t = 0, what are the total phases ! 1 and ! 2 , and what is the difference in total phase ΔΦ , at the location of the microphone? Is there constructive or destructive interference? Use a phase chart to organize your answer. Solution Since these are sound waves, the wavelength l of the sound waves created by speakers 1 and 2 is: ! = v wave f = v wave " = 340 m s # \$ % ( 0.00025 s ( ) = 0.085 m . The harmonic wave functions for the sounds coming from speakers 1 and 2 are then given by: ! P 1 x , t ( )= A sin 2 " t 0.00025 s ( ) 2 " x 0.085 m ( ) + " 2 # \$ % % ( ( ; ! P 2 x , t ( ) = A sin 2 " t 0.00025 s ( ) 2 " x 0.085 m

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InterferenceExamples - Examples 1.A frequency generator in...

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