Why does the amplitude of a loudspeaker cone change with frequency?

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Homework Help Overview

The discussion revolves around the behavior of a loudspeaker cone in response to varying frequencies of an AC signal generator. Participants are exploring the relationship between frequency and amplitude, particularly how changes in frequency affect the cone's movement.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the effects of frequency on inductive reactance and its impact on current flow and magnetic force. There are questions about the relationship between amplitude and frequency, with some suggesting that mechanical resonances may also play a role.

Discussion Status

The discussion is active, with various perspectives being shared. Some participants provide insights into the physics of inductive reactance and mass effects, while others express confusion about the underlying principles. There is no explicit consensus, but multiple interpretations and factors are being explored.

Contextual Notes

Participants are working within the constraints of understanding the physical principles governing loudspeaker operation, including the effects of mass and reactance. There is a request for scientific evidence to support claims, indicating a desire for deeper understanding.

saltrock
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AA loud speaker cone is connected to a AC signal genetator.When the frequency of the signal genetor is alterned the amplitude of the cone changes.why?
My working:
As the frequency increases the amplitude decreases because there is less change in the magnetic flux and vice versia...I am a bit confused about the relationship between the amplitude and frequency...

can you please give me some scientific evidence to lead me in the correct path.Any help would highly be appriciated
 
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saltrock said:
AA loud speaker cone is connected to a AC signal genetator.When the frequency of the signal genetor is alterned the amplitude of the cone changes.why?
In a loud speaker, current passes through a coil. As the frequency increases, the inductive reactance increases, which opposes current flow (when frequency decreases, reactance decreases, thereby reducing opposition to current). This change in current would have a proportionate change on the magnetic force driving the cone, thereby chaning the amplitude (distance the cone moves per vibration period (T=1/f)).

AM
 
Also, mechanical resonances, often represented by Bessel functions, vary (nonlinearly?) the efficiency of the cone surface with repect to frequency.
 
Andrew Mason said:
In a loud speaker, current passes through a coil. As the frequency increases, the inductive reactance increases...
That's true to a slight extent, but isn't sufficient to explain the fairly large decrease in cone displacement vs freq. Speakers normally have pretty low reactance at audio frequencies. The main cause of the reduced amplitude is the mass of the system. The mass must be accelerated by the force from the magntic field produced by the coil. If that force changes more quickly, the cone is less able to follow it.
 

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