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Transformer Action of Middle EAR | Machanism of Hearing
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The sound signal that reach to the ear drum in the form of air vibration must be transmitted to the cochlea which is a fluid filled system'
The impedance of cochlear fluids are much greater then the impedance of air:
Most of the sound energy reflected back only about 0.1% of the energy transmitted to the cochlea and 99.9% if the energy is reflected back
The middle ear overcome this impedance mismatch by acting as a mechanical transformer that boost the signal so that energy can be effectively transmitted to the cochlea
There are three mechanism which are used to overcome the transformer action of middle ear
1-Area ratio of Ear drum to Oval window 2-Curved membrane buckling effect of the tympanic membrane 3- Lever action of the ossicular chain
1. The Ratio of Ear drum to Oval window
The largest contributions comes from Area advantages' The Area of tympanic membrane larger than the Area of Oval window , The force that us exerted over the larger area of tympanic membrane is transmitted to the smaller area of oval window
p=F/A Pressure=Force/Area
The Area of the eardrum =85mm2 only two third of this area can vibrate effectively (Bekesy in 1960)
The effective Area of eardrum 55mm2 and Area of oval window 3.2mm2 p=F/A 55/3.2=17.2
2. Curved membrane buckling effects
In the curved membrane buckling mechanism The ear drum curves from both ends and attached to the manubrium towards the middle ear
As a results ear drum vibration involves greater displacement bat the curved membrane and less displacement at manubrium , It follows factor 2 mechanism
(f1d1=f2d2)
3. Lever action of ossicular chain
Malleus constitute the larger leg of this lever and the Incus is the shortest leg as well as the axis of Rotation
THE OSSICULLAR RATIO:-
The size of malleus 9mm and the size of incus is 7mm than the 9/7=1.3
TOTAL TARSFORMER ACTION OF MIDDLE EAR:- 17.2×1.3×2=44.7
20 log (44.7/1)=33dB
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