Week 3 Lab Notebook (1)

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M3LC

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Electrical Engineering

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Dec 6, 2023

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Name: Thao Le Group members: Kaylee Chiou, Payton Steen Experiment: AC Circuits and Light Detection Date: Oct 19, 2023 Lab 3 Notebook Statement of Purpose Anticipate the time-varying voltage output of an AC operational amplifier (op-amp) circuit by analyzing its construction and the characteristics of the input signal. Determine the cutoff frequencies and devise filtering circuits with the goal of eliminating undesired electrical signals. Comprehend and articulate the functioning principles of photodiodes. Generate Bode plots to assess the frequency response of circuits, subsequently drawing comparisons between experimental results and theoretical expectations. Apply signal modulation techniques to enhance signals emanating from a photodiode circuit, showcasing an adept utilization of modulation principles for signal improvement. Pre-Lab Calculations 1. Come up with a pair of values of R and C that could be used to make a low-pass filter that will pass through a DC voltage signal while rejecting (>95% attenuation) a 1 kHz interference signal. What is the cutoff frequency for that circuit? Show an equation that describes how you arrived at this answer. 𝑓 𝑐 = 1 2π 𝑅𝐶 Pick R = 1 kΩ and C = 1000 nF Then, 𝑓 𝑐 = 1 2π 𝑅𝐶 = 1 2π (1 𝑥 10 3 ) (1000 𝑥 10 −9 ) = 159 𝐻𝑧 With this cutoff frequency, any frequencies below 159 Hz will be passed and those above 159 Hz will be eliminated. Thus, this pair of resistor and capacitor will be able to reject 1 kHz signal. 2. What is the time constant for the combination of R and C that you chose above? Show an equation that describes how you arrived at this answer. Time constant Г = RC = (1 x 10 3 ) (1000 x 10 -9 ) = 0.001 sec 3. What is a transimpedance amplifier , and how will it be used in this experiment?
Name: Thao Le Group members: Kaylee Chiou, Payton Steen Experiment: AC Circuits and Light Detection Date: Oct 19, 2023 A transimpedance amplifier is an electronic device designed to convert a current signal into a voltage signal. It is particularly useful in applications involving photodiodes, where the output is a current proportional to the incident light intensity. The transimpedance amplifier helps convert this current into a voltage, making it easier to process and analyze the calibration curve. Part 1 Two sets of different R and C have been chosen to test out the time constant of an RC circuit. Uncertainty for resistors is 5% and uncertainty for capacitors is 10%. Set 1: R = 1.00 ± 0.05 kΩ and C = 100 ± 10 nF => Г (theo) = RC = 0.0004 sec Set 2: R = 10.0 ± 0.5 kΩ and C = 100 ± 10 nF => Г (theo) = RC = 0.003 sec
Name: Thao Le Group members: Kaylee Chiou, Payton Steen Experiment: AC Circuits and Light Detection Date: Oct 19, 2023 R ( kΩ) C (nF) V source (V) V C (V) delta V (V) experimental time constant 1 100 4.88 V -240 mV 5.12 V 200 μs 10 100 4.60 V 560 mV 4.04 V 1800 μs The experimental time constant is determined by the time needed for the voltage to grow ⅔ of it. Set 1 oscilloscope display screen: Observation: the two waves look to overlap if they’re not zoomed in Set 2 oscilloscope display screen: Observation: this set of R and C displays a great example for cutoff frequency
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