Speakers, loudness, and electrical input

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The discussion centers on the relationship between electrical input and loudness output in speakers, questioning if the formula x=y (electricity equals loudness) applies. It emphasizes that the output will never equal the input due to efficiency losses, and some motors cannot function as generators. The input-output relationship for speakers is typically defined by manufacturer specifications and varies by transducer type. Loudspeakers are noted for their low efficiency in converting electrical energy to mechanical energy. For accurate sound pressure level measurements, the standard is one watt at one meter, influenced by speaker efficiency.
Steven Ellet
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What is the formula for speaker input/output?

On a related topic, on a motor an input of x (electricity) equals output of y (movement) and an input of y (movement) equals output of x (electricity)
x=y and y=x
Is the theory of x=y / y=x applicable to speakers? x=electricity y=loudness
 
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You have forgotten to include efficiency. The output of any device will never be equal to the input. And of course some types of motors will not work as generators. But you have the general idea correct. I don't believe there is any magic formula for speakers. The input to output relationship is usually a manufacturers spec and will vary from one transducer to the next. Loudspeakers are generally not considered very efficient at all.
 
the standard measurement is 1 watt at 1 meter to get the sound pressure level that varies with speaker efficiency.
 
Just a thought -
Speakers having DC resistance around 80% of nominal impedance are condemned to low efficiency as converters of electrical to mechanical energy..

a search on "theory of loudspeakers" should be fruitful.
 
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