Next 1. Lumped models 1. Lumped models (cont'd) 1. Lumped models (cont'd) 4 of 26 2. Analogies (cont'd) 2. Analogies (cont'd) 2. Analogies (cont'd) 3. Middle-ear models 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 3. Middle-ear models (cont'd) 4. Problems with lumped models

2. Analogies

Analogies among electrical, mechanical & acoustical circuits:
Electrical Mechanical Acoustical
v voltage f force p pressure
i current u velocity U volume velocity
R resistance R resistance R resistance
L inductance m mass M mass
C capacitance 1/k compliance (spring) C compliance (volume)
v = iR f = Ru p = RU
v = L di/dt f = m du/dt p = M dU/dt
v =  1

C
ó
õ
i dt
f = k ó
õ
u dt
p =  1

C
ó
õ
U dt

Transformers are required to convert between different domains in a circuit model.


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R. Funnell
Last modified: Sat, 2005 Feb 5 18:03:57

Equations converted from TEX to HTML by TTH. I have seen the equations show up properly under Windows using Mozilla 1.7, Firefox 1.0, Netscape 4 & 7, and IE 5 & 6. They do not show up properly for me under Windows using Netscape 6.2, nor under GNU/Linux using Mozilla 1.0.

Slide show generated from circuit.html by Weasel 2005 Feb 5