Lab 2 (1)

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University of San Francisco *

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4322

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Physics

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Dec 6, 2023

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Dear Mr. President , In case you were ever curious, our physics lab group (103) made an experiment to answer the research question : Does a magnet’s distance affect its field strength reading? Wolfon, in the textbook Essential University Physics , gives us a way to measure field strength with the concept of electric flux. Flux is the flow rate of electric charge per unit area and is described by the equation Φ = EAcosθ (Wolfon 2020). Therefore, when a magnet’s distance is changed, so too should the field strength of its electric field. Here's how the experiment to prove this was designed: Method: 1. Place the phone flat on a table. 2. Clear away any objects with magnetic fields, including speakers and other phones. 3. Calibrate the phone by moving it in a figure 8 pattern. 4. Mark on taped down paper 10 cm on the side of the phone with strongest readings (in our case, the left side of the phone) following the x-axis. This will be the path for the magnet. 5. Starting at the 10 cm mark (furthest point from the phone), place the magnet on the flat service and record the magnetic force at 1 cm intervals until you reach 1cm away from the phone. 6. Have another student repeat the steps listed above. phyphox’s axes
Figure 1 (10 cm away) Figure 2 (1 cm away) Figure 3 Results: In this experiment, the phone’s internal MEMS magnetic field sensor used the Hall Effect . According to Trenovision.com , The Hall Effect is a phenomenon where a metal plate in a magnetic field will make electrons disperse with one side positive and the other negative. As a result, this produces a voltage which is what the phone reads. A phone app called PhyPhox utilized this effect and live-tested the magnetic field strength, giving us Figures 1-3 above. The graphs represent the Tesla in a specific axis. As shown, the closer the magnet was to the phone, the higher the magnetic flux. More specifically, the limits for the x axis data were 7.53 B(uT) for the closest reading to the phone in terms of distance, while 5.64B(uT) was the furthest at 10 cm
away. Additionally, the Chi-squared value we got for this experiment was 11.6. We triple checked our formulas and data to make sure everything was inputted correctly yet our chi squared value was very far from 1, what does that say about our experiment? We can conclude from our findings that the devices used to record and gather data were not made for such precise measurements. If we were to perform this experiment again, we would only change the tools used to gather our data, and that should bring our chi squared value closer to 1. Conclusion: From the results gathered, we can conclude that distance does affect the magnetic field strength of a magnet. As supported by toppr.com , Magnetic field strength is determined by the ratio of “MMF” (magnetomotive force) (Toppr 2021). MMF constitutes a flux density and this value decreases as the distance increases between a magnet and a current. This correlation between magnetic flux and MMF is comparable to that of Ohm’s Law, which states that the current that flows (in conductors) is directly proportional to that of the voltage it receives ( byjus.com ).This can explain Tesla strength as values from the phone's magnetometer are based on the varying voltage outputs of the magnet which is dependent on the distance of the magnet to the phone. Therefore, as our research and results support, distance does affect the magnetic field strength of a magnet. Thank you, Alina Mortazavi Cristian Gutierrez Bree Dineley Citations
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Toppr Guides. (2021). Magnetic Field Strength Formula . Toppr. https://www.toppr.com/guides/ physics-formulas/magnetic-field-strength-formula/ phyphox (1.1.7). (2020). [Data Collection]. RWTH Aachen University. https://phyphox.org/ BYJU Study App. (2021). Ohm’s Law . BYJU. https://byjus.com/physics/ohms-law/ Wolfson, R. (2020). Essential university physics . Harlow, United Kingdom: Pearson. Holmes, N. G. (Aug 2020) Statistics Summary .