20.309: Biological Instrumentation and Measurement
This is Part 2 of Assignment 6.
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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Resistive circuits
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For each of the circuits below, find the voltage at each node and the current through each element.
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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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