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| This is Part 2 of [[Assignment 6 Overview: two color microscope| Assignment 6]]. | | This is Part 2 of [[Assignment 6 Overview: two color microscope| Assignment 6]]. |
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− | ==Ideal elements==
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− | {{Template:Assignment Turn In|message=
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− | For each of the ideal, two-terminal elements listed below, show the symbol, label the terminals, indicate the direction of current flow, write the constitutive equation, and find an expression for the ''impedance'', <math>Z(\omega)=\frac{V}{I}</math>. (To find the impedance, substitute <math>V=Ae^{j\omega t}</math> into the constitutive equation and solve for <math>\frac{V}{I}</math> as a function of <math>\omega</math>.)
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− | * Resistor
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− | * Capacitor
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− | * Inductor
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− | * Voltage source
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− | * Current source
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| ==Resistive circuits== | | ==Resistive circuits== |
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− | ==Circuit analogies== | + | ==Ideal elements== |
− | ===Thermal system===
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| {{Template:Assignment Turn In|message= | | {{Template:Assignment Turn In|message= |
− | For each of the systems below, find an analogous circuit. | + | For each of the ideal, two-terminal elements listed below, show the symbol, label the terminals, indicate the direction of current flow, write the constitutive equation, and find an expression for the ''impedance'', <math>Z(\omega)=\frac{V}{I}</math>. (To find the impedance, substitute <math>V=Ae^{j\omega t}</math> into the constitutive equation and solve for <math>\frac{V}{I}</math> as a function of <math>\omega</math>.) |
| + | * Resistor |
| + | * Capacitor |
| + | * Inductor |
| + | * Voltage source |
| + | * Current source |
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− | <gallery>
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− | File:Thermal System Analogy Problem.png |Thermal system:Coffee in a thermos
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− | File:Mechanical System Analogy Problem.png|Mechanical system: mass and damper
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− | </gallery>
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| {{Template:20.309 bottom}} | | {{Template:20.309 bottom}} |
Revision as of 01:05, 9 April 2020
20.309: Biological Instrumentation and Measurement
This is Part 2 of Assignment 6.
Resistive circuits
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For each of the circuits below, find the voltage at each node and the current through each element. You do not have to simplify your answer. (You may leave in terms such as R1
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Equivalent circuits
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For each of the circuits in the previous problem, find two equivalent circuits — the first one consisting of a single voltage source and a single resistor, and the second one consisting of one current source and one resistor. In both equivalent circuits, the I-V curve at the Vout the port should be identical to the original circuit.
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Ideal elements
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For each of the ideal, two-terminal elements listed below, show the symbol, label the terminals, indicate the direction of current flow, write the constitutive equation, and find an expression for the impedance, $ Z(\omega)=\frac{V}{I} $. (To find the impedance, substitute $ V=Ae^{j\omega t} $ into the constitutive equation and solve for $ \frac{V}{I} $ as a function of $ \omega $.)
- Resistor
- Capacitor
- Inductor
- Voltage source
- Current source
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