Hoppe_M1A2

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Physics

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Dec 6, 2023

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Course: PHYS204 Section: ___________________ Name: Zachary Hoppe _____________ Instructor Name: Dr. Riz ___________ M1A1: Results Worksheet for Part II 1. Specify which part you have been assigned to complete (Part I or Part II): Part II 2. Report your experimental data results below, in table format. Be sure to label your data rows/columns and specify the units of measurement . Position (m) E (V/m) 2.20 0.78 2.00 1.03 1.50 2.27 1.30 3.25 1.00 6.43 0.50 25.4 0.20 57.8 I filled out my table using half-meter increments along the y-axis of the dipole, from 0.5 meters to 2.00 meters. This scale was determined based off of the size of the PHET simulator. I chose not to go into the negative direction, as we are only looking at the magnitude of electric fields in the table and graph. I selected 3 points, 2.20, 1.30, and 0.20, to trend my calculated data versus observed data from the simulator. 3. Report the corresponding graphical display of your data below. Make sure your graph is clearly labelled, including the units of measurement.

My graph was put together on Excel, using the data from the table above. I added in my calculated points first, created a trendline, and then added the observed data. There is some minor deviation across the line, which is discussed below. Directions specified to include a screenshot of the simulation in the lab report, but no section in the template requires it, so I have added it here with the graph. This screenshot shows variable locations around the dipole, to illustrate the different effects this electric field has based off of sensor location. 4. Answer the questions posed in the Part you were assigned. Do your data points match the calculated curve? Yes. There is some slight misalignment between my found data points and the trend line, but that can be labeled as margin of error due to rounding and the imprecise nature of measurement used on the PHET simulation. I am confident based off of my observed data that my calculations are accurate, and fit into the appropriate range. Does the magnitude of the dipole field follow a power law? Yes. The magnitude of an electric field around a dipole follows an inverse cubed power law. If so, is it the same or a different power law from that of the point charge? It is not the same as the law for an electric field around a monopole. A monopole has a power law of inverse squared, or E=kq/r 2 . A dipole follows the equation of E=kp/r 3 . This inverse cubed power law means that the magnitude of the field around a dipole drops off significantly faster than that of a monopole. What might happen with even larger collections of electrically neutral collections of charges? Based off of the observations I made while using the PHET simulator on a quadrupole, and the inference of the differences in power law between a monopole and dipole, it can be suggested that with the increase of charges, there is an increase in the magnitude of the inverse power law. To rephrase that, the more charges are together, the more quickly the electric field tapers off based on distance.

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