Helmholtz Resonator

HELMHOLTZ RESONATOR, LCR CIRCUIT ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Helmholtz resonator ,[object Object]

It consists of a rigid enclosure of volume V communicating with the external medium through a narrow opening of radius r and length l . ,[object Object],[object Object],[object Object]

Compare the following equations

[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object]

The above treatment allows us to establish the following mechanical, electrical and acoustical analogues: ,[object Object]

The discussion so far allows us to define the following quantities: ,[object Object],[object Object],[object Object]

With regards to the Helmholtz resonator therefore, we could conclude the following: ,[object Object],[object Object],[object Object]

[object Object],[object Object]

From the above comparisons it’s evident that we can even have equivalent mechanical, electrical and acoustic expressions for resonance frequency ω 0 and the quality factor Q: ,[object Object]

Helmholtz Resonator

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Helmholtz Resonator