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3. If one speaker is quieter than another, what is the reduction in db? a. If...

3. If one speaker is quieter than another, what is the reduction in db?

a. If it has only 1/3 the intensity of the other?

b. If it has only 1/6 the intensity of the other?

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Answer #1

Suppose that the intensity produced by each speaker individualy is Ix. Thus when both the speakers have same intensity the intensities add up to give 2Ix of intensity hence the original SPL is given by

where I0 is a reference intensity.

a. Now if the intensity of one drops to one third total intensity would be Ix + Ix/3 = 4Ix/3. This corresponds to an SPL

Thus there is loss in SPL given by

b) On similar line if the intensity drops to 1/6, the net intensity is given by 7Ix/6 and corresponding SPL is

Again

Hope it helps. If you have any doubts or querries drop a comment. All the best.

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