Physics 2 Lab 12

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School

Massachusetts Institute of Technology *

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Course

8.02

Subject

Electrical Engineering

Date

Oct 30, 2023

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pdf

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4

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LC Circuits Lab Number and Title: 221 LC Circuits Name: Aaron Hsu Group ID: N/A Date of Experiment: 12/13/22 Date of Submission: 12/13/22 Course and Section Number: PHYS 121A013 Instructor’s Name: Matias Daniel de Almeida Partner’s Names: Paul Svorec, Alex Ack, and Noah Francois 1. Objective: The goal and objective of this lab are to analyze and examine an LC circuit and resonance frequency. 2. Data (graphs + table): Solenoid 47.5 C: Solenoid 121 C:
Loop 47.5 C: Loop 121C:
3. Percent Error/Calculation: Data Table: Case L [H] R L [Ω] C [F] f Experiemental [Hz] f Equation 7 [Hz] f Equation 8 [Hz] 1: Solenoid 8.3 10 -3 × 1.7 121 10 -6 × 171.89 158.81 157.975 2: Loop 22.5 10 -3 × 7.2 121 10 -6 × 98.68 96.46 93.035 3: Solenoid 8.3 10 -3 × 1.7 47.5 10 -6 × 272.15 253.47 252.950 4: Loop 22.5 10 -3 × 7.2 47.5 10 -6 × 159.15 153.95 151.83 Percent Error: Equation 7 f Experiemental f Equation 7 Percent Error 1: Solenoid 171.89 158.81 8.2% 2: Loop 98.68 96.46 2.3% 3: Solenoid 272.15 253.47 7.3% 4: Loop 159.15 153.95 3.3% Percent Error: Equation 8
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f Experiemental f Equation 8 Percent Error 1: Solenoid 171.89 157.975 8.81% 2: Loop 98.68 93.035 6.07% 3: Solenoid 272.15 252.950 7.59% 4: Loop 159.15 151.83 4.82% 4. Discussion of Results: This lab was successful in achieving its objective of investigating the resonance frequency and damping of LC circuits. We were able to determine the predicted resonant frequency and contrast it with the frequency that was actually discovered experimentally using potential and kinetic energy equations. The data under equation 8 section were lesser since there was some inaccuracy when we measured the capacitor's capacitance because it was higher than anticipated. Overall, we were successful in correctly forecasting and creating a resonant frequency.

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