Difference between revisions of "Electronics written problems"
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[[File:Second order low pass filter.png|515px]] | [[File:Second order low pass filter.png|515px]] | ||
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+ | Assuming R<sub>1</sub> = 1 Ω and C1 = 1 μFd, find an equation for <math>V_{out}(t) for each circuit given the following inputs: | ||
+ | * <math>v_{in}(t)=cos( 2 \pi x 0.1 t ) + cos( 2 \pi * 10 * t )</math> | ||
+ | * <math>v_{in}(t)=cos( 2 \pi t )</math> | ||
+ | * <math>v_{in}(t)=cos( 2 \pi x 10^{-6} t ) + cos( 2 \pi * 10^6 * t )</math> | ||
+ | Feel free to make reasonable approximations. You should only have the urge to get out a calculator for the first one. | ||
+ | }} | ||
+ | <br /> | ||
+ | <br /> | ||
+ | [[File:Low pass filter.png|350px]] | ||
+ | <br /> | ||
+ | <br /> | ||
+ | [[File:High pass filter.png|350px]] | ||
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Revision as of 01:51, 18 October 2018
This is Part 2 of Assignment 6.
Ideal elements
Solving circuits
For each of the circuits below, find the voltage at each node and the current through each element. |
Equivalent circuits
Measuring voltage
A circuit model for a neuron in culture connected to a patch clamp apparatus consists of a time-varying voltage source in series with an output impedance of 1011 Ω. There is an oscilloscope next to the neuron with an input impedance of 106 Ω. A circuit model for the oscilloscope is a 106 Ω resistor to ground. A new UROP in the lab attempts to measure the electrical spikes produced by the neuron (called action potentials) using the oscilloscope. The oscilloscope has a noise floor of 10-3 V.
- What is the magnitude of the action potential signal after the student connects the oscilloscope?
- Does the student succeed? Why or why not?
- What is the signal to noise power ratio?
- How many times does the student curse during the measurement attempt?
- What is the minimum input impedance that a measurement device must have in order to make a high-fidelity measurement of an action potential.
Simple Bode plots
Harder Bode plots
Linear systems