RaghuChinta_Lab2_Reflection

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Morgan State University *

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205L

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Physics

Date

Apr 3, 2024

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docx

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7

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Overview The purpose of this laboratory experiment is to explore and test the predictions of Gauss's Law and understand the relationship between electric potential and electric field. The focus is on a specific example involving parallel electrodes and how the electric field and potential vary in a two- dimensional system. Gauss's Law states that the total electric flux through a closed surface is proportional to the total charge enclosed by that surface. The equation is given by: E is the electric field, S is the closed surface, d A is a differential area element, Q enclosed is the total enclosed charge, and ε 0 is the permittivity of free space. Electric potential (V) is defined as the potential energy per unit charge at some point in space due to the presence of an electric field. The equation for electric potential is given by: The electric field (E) is related to the electric potential by the derivative: The specific example involves two parallel electrodes with uniform charge density. The electric field due to the negative electrode (E - ), positive electrod (E + ), and the total electric field (E) are calculated. The electric potential (V) between the electrodes is then derived, resulting in a linear relationship with distance (r).
There is an expected linear relationship between electric potential and distance. Experimental Setup, Data Analysis, and Plots Fig1a: 1-Dimensional Gauss’s Law Set up two parallel aluminum rods as electrodes, separated by about 10 cm. Connect the power supply to the electrodes to create a sheet-like "source of uniform charge." Measure potential differences along a line perpendicular to the electrodes, connecting their centers, using standard graph paper. Materials: 1. Tray of Shallow Tap-Water:
Purpose: The medium in which the behavior of the electric field and electric potential in two dimensions is explored. 2. DC Power Supply: Purpose: Supplies a potential difference (V PS ) between 2 electrodes, creating electric field in water. 3. Electrodes (Aluminum Rods and Ring): Purpose: Used to construct electric fields with different behaviors in the water. 4. Banana Wires: Purpose: Connect the power supply to the electrodes. 5. Digital Multimeter (DMM): Purpose: Measures potential differences (DC volts) between the ground electrode and selected points in the water. 6. Needle Probe: Purpose: Connected to the DMM to measure potential differences. Held vertically for precise measurements. 7. Graph Paper (Standard and Polar): Purpose: Used for measuring distances between points in the electric field. Standard graph paper for the parallel plates experiment, and polar graph paper for the point source and ring experiment.
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