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Loudspeakers can produce intense sounds with surprisingly

Chapter 17, Problem 29

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QUESTION:

Problem 29PE

Loudspeakers can produce intense sounds with surprisingly small energy input in spite of their low efficiencies. Calculate the power input needed to produce a 90.0-dB sound intensity level for a 12.0-cm-diameter speaker that has an efficiency of 1.00%. (This value is the sound intensity level right at the speaker.)

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QUESTION:

Problem 29PE

Loudspeakers can produce intense sounds with surprisingly small energy input in spite of their low efficiencies. Calculate the power input needed to produce a 90.0-dB sound intensity level for a 12.0-cm-diameter speaker that has an efficiency of 1.00%. (This value is the sound intensity level right at the speaker.)

ANSWER:

Solution 29PE

Loudspeaker helps in transmitting low sounds to higher volumes without compromising its quality.

The expression to find the speaker intensity level of sound transmitted is,

 = (10 dB)  

Substitute, 40 dB for  and  for   in the expression of intensity level of sound,

40 dB = (10 dB) ()

 = ()

Take antilog at base 10 both sides,

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