Lab Report 1

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University of South Carolina *

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202L

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Physics

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Feb 20, 2024

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Alyssia Villarreal PHYS L 202-002 Equipotentials Introduction Equipotentials on an object is where the surface of the object has the same potential on all points. In this experiment, the relationship between potential and distance was examined using three different methods. By using a point-point system, bar-bar system, and point-bar system, the electric field could be visualized around the different electrodes. The two straight electrodes had a curvature field while the bar-bar method showed a wavy field. When combined, they showed a mix of both where in the middle they repelled each other. Data analysis confirmed that as distance increases, potential decreases due to the charges repelling each other. Experimental Set-up The experiment was conducted by placing a clear tray filled with about a inch of water on top of graph paper marked with units of measurement in millimeters. Electrodes were placed in the water and using a metallic probe, the potential charges were measured and documented. The three methods evaluated were a point-point method which used the two straight electrodes, a bar-bar method which used the two bar electrodes, and a point-bar method which combined the two. Results were taken in a graph using the XY coordinates of the charges and then placed into a scatter plot. Results Point-Point Charges (in watts) 2.5 W 2.7 W 3.0 W 3.7 W 4.2 W X Y X Y X Y X Y X Y -11 -10 -10 8 -4 -11 3 9 9 7 -8 6 -11 -12 -1 1 4 -7 8 2 -14 9 -5 0 -7 16 5 -12 9 -5 -12 -12 -5 -3 -4 10 3 16 14 -15 -6 -1 -9 7 -3 -15 3 1 10 -7 This table shows five different charges using the point-point method. The needle was dragged through the water to find different areas on the graph where the X and Y coordinates were recorded. 1
Alyssia Villarreal PHYS L 202-002 Point-Bar Charges (in watts) 3.1 W 3.4 W 4.5 W 5.3 W 5.7 W X Y X Y X Y X Y X Y -11 -10 -6 -9 3 1 10 -10 11 8 -6 3 -8 8 3 -6 8 4 13 -2 -5 0 -7 -14 2 6 9 13 12 13 -14 10 -4 2 3 16 8 2 13 -1 -10 14 -11 12 1 -17 9 -13 16 -12 This table shows five different charges using the point-bar method. The needle was dragged through the water to find different areas on the graph where the X and Y coordinates were recorded. Bar-Bar Charges (in watts) 2.5 W 3.1 W 3.7 W 4.0 W 4.9 W X Y X Y X Y X Y X Y -6 -8 -5 -8 -1 10 0 -7 7 -2 -10 14 -4 -3 -2 6 1 3 8 11 -8 3 5 4 -1 -9 0 11 6 -4 -8 -11 6 10 -1 -7 1 -15 6 -13 -8 -6 5 15 -2 8 0 2 7 -5 This table shows five different charges using the bar-bar method. The needle was dragged through the water to find different areas on the graph where the X and Y coordinates were recorded. 2
Alyssia Villarreal PHYS L 202-002 Questions 1.) How do the equipotential lines differ in the patterns they make for different geometries? In the two straight points, the equipotential lines show more of a curvature and show the difference of their potentials. In the bar-bar format, they show more of a wave format curving around each other. The point-bar method shows a little mix of both. 2.) How does the potential vary with distance when the two straight electrodes are used? Explain what you expect this relationship to be and why. Potential decreases as distance increases due to the charges repelling each other. 3.) What is the function of the water in the pan? Would it be possible to do this experiment with air in the pan? If so, how would it be different? If not why not? The water allows the charges to move slower so it’s easier to detect on the probe and to where it makes it easier to see the location of the charges on the paper underneath. 4.) Explain the relationship between contours of constant potential and the electric field direction. 3
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Alyssia Villarreal PHYS L 202-002 If the potential is constant, then the electric field lines will be parallel to them. 5.) Why is the electric field a vector quantity while the electric potential is a scalar? The electric field has both direction and magnitude while electric potential might not necessarily have direction. 4