Lab 7_ Magnetic Force on Moving Charges -2

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Apr 3, 2024

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Members: Matthew Burton (6280856), Anna Karlsson (6388973), Olivia Mancini (6490410), William Coleman (6404570) Lab 7: Magnetic Force on Moving Charges Preliminary Questions 1. If you want to maximize the magnetic force on a current in a conductor, how should you orient the current relative to the magnetic field? To maximize the magnetic force on a current in a conductor it should be oriented perpendicularly relative to the magnetic field. 2. If you want the force to be zero, in what two directions could you orient the current relative to the magnetic field? For the force to be zero the current should be oriented parallel relative to the magnetic field. Analysis 1. Convert the balance readings (mass in grams) to force (N) for each data table. To do so, you first need to subtract the balance reading when the current was zero. (See table) 2. Create graphs for each experiment. Force should be on the y axis and current, length, or number of magnets should be on the x axis. Include linear regression lines. Print the graphs. (See graphs) 3. For the graph of force versus current, what is the relationship between the two variables? Does it confirm the theoretical prediction? For the graph of force versus current, force and current have a proportional relationship with force increasing along with current. This does confirm the theoretical prediction of force increasing proportionally to current. 4. For the graph of force versus length, what is the relationship between the two variables? Does it confirm the theoretical prediction?

The graph of force versus length demonstrates a proportional relationship as well, with magnetic force increasing as the length of the current loop increased. This does confirm the theoretical prediction of magnetic force and current loop having a proportional relationship. 5. For the graph of force versus number of magnets, what is the relationship between the two variables? From your results, does it look as if the magnetic field is proportional to the number of magnets used? Explain why or why not. The graph of force versus the number of magnets demonstrates a proportional relationship between the two variables as well. The magnetic field is proportional to the number of magnets used, as seen in both the table and graph.

Data Tables Current (A) Mass (grams) Force (N) Current (A) Mass (grams) Force (N) 0.0 0.03 0 3.0 0.5 0.28 2.744 x 10 -3 3.5 1.0 0.93 9.114 x 10 -3 4.0 1.5 1.4 1.37 x10 -2 4.5 2.0 1.93 1.89 x 10 -2 5.0 2.5 2.3 2.254 x 10 -2 Mass with I = 0.03 grams Length (cm) Mass (grams) Force (N) 1.2 0.63 0 2.2 1.15 1.127 x 10 -2 3.2 1.77 1.735 x 10 –2 4.2 1.93 1.189 x 10 -2 6.4 2.97 2.911 x 10 -2 8.4 3.95 3.871 x 10 -2

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Number of magnets Mass with I = 0 (grams) Mass with I = 2A (grams) Force (N) 1 0.34 0.69 6.762 2 0.7 1.3 9.212 3 1.06 2.11 13.622 4 1.4 2.77 16.758 5 1.61 3.20 20.972 6 1.82 3.60 20.776 Graphs

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