Difference between revisions of "Lab Manual: Limits of Detection"
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===Second order system=== | ===Second order system=== | ||
| − | [[Image:Second Order Circuit.png|thumb| | + | [[Image:Second Order Circuit.png|thumb|300 px|right|Second order circuit with alternating current source and parallel resistor, capacitor, and inductor.]] |
| + | <math>Z_{eq}=\frac{\hat{V}_o(s)}{\hat{I}_{in}(s)}=\frac{Z_R Z_L Z_C}{Z_R+Z_L+Z_C}=\frac{RL/C}{R+Ls+1/Cs}</math> | ||
| + | <math>\frac{\hat{V}_o(s)}{\hat{I}_{in}(s)}=\frac{RLs}{LCs^2+RCs+1}</math> | ||
===Mechanical circuit analogy=== | ===Mechanical circuit analogy=== | ||
[[Image:Ideal Mechanical and Electronic Lumped Elements.png|thumb|right|350 px|Ideal mechanical and electronic lumped elements.]] | [[Image:Ideal Mechanical and Electronic Lumped Elements.png|thumb|right|350 px|Ideal mechanical and electronic lumped elements.]] | ||
Revision as of 02:07, 25 November 2012
Overview
Resolution limit
Second order system
$ Z_{eq}=\frac{\hat{V}_o(s)}{\hat{I}_{in}(s)}=\frac{Z_R Z_L Z_C}{Z_R+Z_L+Z_C}=\frac{RL/C}{R+Ls+1/Cs} $ $ \frac{\hat{V}_o(s)}{\hat{I}_{in}(s)}=\frac{RLs}{LCs^2+RCs+1} $
Mechanical circuit analogy
