Report_Magnetic_Forces

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Physics II Laboratory Faculty of Science, Ontario Tech University Report for Experiment PhyII-03: 1Magnetic Forces on Wires Student Name: CRN: Date: Experiment 1: Force vs. Current # of Magnets: 6 Current Loop Length: 4cm Table 1 Current Mass Mass difference Force (A) (grams) (grams) (mN) 0 165 0 0 0.5 165.1 0.1 0.98 1.0 165.3 0.3 2.94 1.5 165.4 0.4 3.92 2.0 165.5 0.5 4.9 2.5 165.6 0.6 5.88 3.0 166.5 0.7 6.86 3.5 166.6 0.8 7.84 4.0 166.7 0.9 8.82 4.5 166.9 1 9.8 5.0 167.1 1.1 10.78 B = __63.7 T__ Insert the Force vs. Current graph here. Report for Experiment PhyII-03: Magnetic Forces on Wires Page 1 of 5

Physics II Laboratory Faculty of Science, Ontario Tech University Experiment 2: Force vs. Current Loop Length # of Magnets: 6 Current I : 3 A Mass with I = 0: 165 g Table 2 Length Mass Mass difference Force (cm) (grams) (grams) (mN) 1 165.2 0.2 1.96 2 165.3 0.3 2.94 3 165.4 0.4 3.92 4 165.45 0.45 4.41 3 166.2 1.2 11.76 4 166.5 1.5 14.7 B = __0.85 T__ Insert the Force vs. Conductor Length graph here. Report for Experiment PhyII-03: Magnetic Forces on Wires Page 2 of 5

Physics II Laboratory Faculty of Science, Ontario Tech University Experiment 3: Force vs. Magnetic Field Current I : 2.5 A Current Loop Length: 3 cm Table 3 Magnetic Field Mass m 0 I = 0 Mass m ' I > 0 Mass difference Force (# of magnets) (grams) (grams) m ' – m 0 (grams) (mN) 1 100 101 1 9.8 2 112.7 113 0.3 2.94 3 126 126.2 0.2 1.96 4 139 139.2 0.2 1.96 5 152 152.1 0.1 0.98 6 165 165.3 0.3 2.94 Insert the Force vs. Magnetic Field graph here. Final Analysis Proportionality expression: F ∝ B F ∝ I F ∝ L Report for Experiment PhyII-03: Magnetic Forces on Wires Page 3 of 5

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Physics II Laboratory Faculty of Science, Ontario Tech University F ∝ B * I * L Conclusion : The experiment's results, which looked at the connections between magnetic force and conductor length, magnetic field strength, and current flow, are presented in this paper. Three separate tests were conducted as part of the experiment: force against length, force against current, and force against magnetic field intensity. The experiment attempted to provide a deeper knowledge of magnetic force behavior in conductors by methodical measurements and graphing. This experiment was designed to find out how a conductor's magnetic force is affected by current flow, conductor length, and the strength of the magnetic field. The experiment aimed to clarify the fundamental ideas guiding magnetic interactions by carrying out tests and charting the correlations between force and each aspect. The apparatus used for the experiment consisted of a wire, magnets, and a scale. Magnets were positioned perpendicular to a wire that was connected to a power source for the first test, which pitted force against current. By weighing the wire on a scale following each increment of current, the net force was calculated as the current was gradually raised. To obtain enough information across a range of current values, this technique was performed multiple times. The second test, force versus length, involved methodically varying the wire length while maintaining a constant current magnitude and number of magnets. Following each length modification, the wire was weighed on a scale, and the accompanying force was computed. This process made it possible to investigate how variations in wire length impacted the magnetic force that the conductor felt. Magnets were positioned perpendicular to the wire in the third test, which assessed force versus magnetic field strength. The mass of the magnets was determined both with and without current flow. The mass was recorded after each addition of magnets, which were introduced gradually. This made it possible to observe how variations in the number of magnets, which produced variations in the magnetic field intensity, affected the magnetic force acting on the conductor. In the examination of force versus current, a direct correlation between current magnitude and force was observed. The data collected from multiple runs, with the number of magnets being 6, were plotted on a graph, revealing a linear relationship between force and current. By analyzing the slope of the graph, the magnetic field strength (B) was calculated to be 63.7 T when the current (I) was varying and the Report for Experiment PhyII-03: Magnetic Forces on Wires Page 4 of 5

Physics II Laboratory Faculty of Science, Ontario Tech University length (L) equaled 4 cm. Similarly, the relationship between length and force indicated a proportional relationship, with longer wire lengths corresponding to greater forces. Graphing the data revealed a linear trend, with force increasing steadily as wire length increased. The derived magnetic field strength (B) under these conditions was 0.85 T with the current (I) being 3 A and the initial mass being 165 g, validating the relationship between wire length and magnetic force. In the third test, a proportional relationship between magnetic field strength and force was established. Graphing the data showed a clear correlation between the number of magnets (representing magnetic field strength) and the force experienced by the conductor. As more magnets were added, the force increased accordingly, demonstrating the direct influence of magnetic field strength on magnetic force. The results of the experiment provide important light on the connections between magnetic force and conductor length, magnetic field strength, and current flow. The findings validated the validity of the formula F = B*I*L*sin(θ), indicating a direct proportionality between these parameters. Furthermore, as the magnetic force is the product of the wire's length and the strength of the magnetic field, placing the wire and magnetic field perpendicular to one another was essential to optimizing force. All things considered, the experiment advances our knowledge of magnetic interactions in conductors and their useful applications. Additional elements influencing magnetic force and its ramifications in different scientific and technical domains should be explored in future research. This could involve investigating non-linear correlations between force and the researched parameters, analyzing the impacts of various wire materials, and experimenting with alternative magnetic field directions. Report for Experiment PhyII-03: Magnetic Forces on Wires Page 5 of 5

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