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For a loudspeaker driver where the efficiency of the driver is equal for a specific frequency range, what is the relationship between the power required to achieve the same measured output (in dB) and increasing frequency?
Does it require the same amplifier power to achieve the same dB output as the frequency increases or does it require less (or more) power to produce the same dB output as the frequency increases?
Follow Ups:
Q1 The efficiency governs what portion of input power can be converted to sound and inferred via the 1W1M spec but the nominal impedance governs how much power a given Voltage produces so one could have identical efficiencies but different Voltage sensitivities. like a 4 Ohm speaker vs a 16 Ohm speaker can have identical efficiencies but different Voltage sensitivityQ2 AS you go higher in frequency, the SPL on axis of the speaker is a combination of both the efficiency and the directivity index which is the degree of narrowing of the radiation pattern which focuses sound on axis.
So, if you had speakers who's radiation pattern didn't change with Frequency, then the power is the same if the efficiency is the same.
Generally that's not the case, the upper ranges are more confined and so less power is needed to make the same SPL on axis.
Hope that helps
Tom Danley
Danley Sound Labs
Edits: 11/10/22
Drivers - transducers - have a range of frequency that they can reproduce
this is strongly affected by the enclosure/cabinet / mounting of the transducer
Each transducer has a range of power handling 'capacity'
typically it need a minimum amount of power to function, and has a maximum that is defined by the limits of materials and the effect of the power applied (heat can melt the insulation of voice coils, shorting out the coil, high voltage can cause sparking or over excursion in electrostatic transducers which can damage/destroy the membrane-
typically the effect of frequency is to change the resistive value of the transducer. this is often displayed as an inverse curve showing SPL over frequency at a fixed power level.
efficiency is usually measured by the speaker Manufacturer, and can be measured at any of the following options (not standardized)
-a single frequency (say 1,000Hz)
-several frequencies - together as a basket of sound, or independently and then summed...
-use Pink Noise which is a combination of all frequencies
there are also other considerations -
-are you measuring one transducer ? or multiple?
-if multiple, on axis of the most/least efficient?
or center axis of the enclosure...
In a 'speaker' there are often multiple transducers combined with a crossover (to divide frequencies amongst the transducers) and an enclosure. Each has a role/part to play in the efficiency, frequency response of the speaker.
If you want to measure the response/performance of an individual transducer, at a given frequency, you will need a bit of equipment-
The ratings from Manufacturers are not harmonized - which is to say that they do not always disclose all the details of how they measured their speaker for efficiency which makes comparing them difficult at best...
I am not sur if I answered your question; however I am not sure what you are looking for...
happy to discuss -
the link below should help
Happy Listening
Nt
Nt
Power is power. If efficiency doesn't change with frequency, then neither does power.
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