wwallaceLab4

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Lab 4 - Magnetism Liam Wallace University of Guelph PHYS 1010 James Ball March 21, 2023
Experiment 1 Methods: The images to the left show some of the locations where the IOLab device was placed to retrieve data. The images were taken in the order of on the fridge, on the desk, and beside the speaker. In the locations of the desk and the fridge the data was retrieved twice, once with the IOLab standing upright and once with the IOLab facing north. This can be seen in the images. The magnetic North was determined with the use of the compass app on an iPhone Results: The above graph shows the magnetic field of the east residence building at the university of Guelph and it is oriented to the magnetic North as to agree with theory of this lab. The data within this table was used as the NOAA data in the second table below. Location, Orientation Bx (uT) By (uT) Bz (uT) |B| (uT) 1. Floor, y- axis facing north -23.52 -12.30 39.42 47.52 2. Table, y- axis facing north -0.60 19.91 -40.78 45.38
3. Table, y- axis facing up -8.21 -47.38 -3.70 48.23 4. Fridge, y- axis facing north 12.76 78.54 -127.60 150.38 5. Fridge, y- axis facing up 2.48 -83.62 -15.50 85.08 6. Beside speaker, y-axis facing up 168.29 124.52 -728.50 757.98 The above table shows the data taken during the first experiment of this lab. The fifth column of the table shows the magnitude of the magnetic field in the different locations around the room. The values for the magnitude of the magnetic field was calculated using the equation below where x represents the field value in the x direction, y represents the field values in the y direction, and z represents the field values in the z direction. |𝐵| = √? 2 + ? 2 + ? 2 Measured B Earth NOAA est. B Earth Bx 15.01 -3.19 By 2.11 18.70 Bz -73.65 49.84 |B| 75.19 53.33 The image to the left shows the data collected when measuring the magnitude of B with respect to the Earth. To do this the IOLab device was placed on the floor in the middle of the room in which the experiment took place. Conclusions: The magnitude of B(earth) is calculated to be 75.19 which can be seen from the table above. The magnetic field from the NOAA est is 53.33. These two values differ by about 20 units. The difference between the two values could be explained by the fact that the experiment took place in a door room with multiple electronic device that could have interfered with the IOLabs sensors. However during the
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experiment when the device was placed on the floor under the desk the value of the magnetic field was found to be the closest at 47.52. this can be explained by the fact that the desk could be insulating the device from the other devices in the room and allowing for the closest reading of the magnetic field from the north. The complete vector equation of B(earth) is 𝐵 = (−23.52? − 12.30? + 39.42?) . Experiment 2 Methods: The image to the left shows the IOLab device oriented due North on top of a desk in the room in which the experiment took place in. As seen in the image the device was placed on its own on the desk with all the devices in the room moved away from it as to not interfere with the experiment. A double “ A ” (AA) battery was used in the lab as an EMF source for the experiment. The image shows the wire with one loop of a radius 2cm. The number of loops and radius of loops was then changed during the other trials in the experiment. Results: The below images are of the data collected during the trial using a wire loop with a radius of 2cm. The image on the left shows the data collected when there was no current running through the wire loop. The image on the right shows the data collected while there was current running through the wire loop using the double “ A ” battery.
The below image shows the calculations used to find the determination of the magnetic field due to the wire loop, and the current running through the wire itself. Current Orientation Bx (uT) B y (uT) Bz (uT) |B| (uT) Current Through Wire (A) One loop, radius = 2cm 34.34 -38.31 -316.07 320.23 1.95 Two loops, radius = 1cm 97.21 -214.51 -295.61 377.95 2.41 One loop, radius = 1cm -34.76 -119.44 -149.16 191.93 1.02 The above table shows the determination of the magnetic field due to the coil, as well as the current running through the wire. The final two columns of the table were found using the calculations from above, with their respective set of values. Conclusions: The Current through the wire has different values for each of the three trials due to the difference in orientation and size of the wire loops. As seen in the chart from the results section when the radius of the single wire loop was decreased the current through the wire also decreased. It can also be noted that when the number of loops was changed to two loops the current within the wire increased. The magnetic field also increased with the size and number of loops. This can be seen in the trial with two loops as the current more than doubles that of the trial with a single loop of the same size,
which effected the magnetic field induced by the coil so that it was even stronger than the field measured by B(earth) with the IOLab device.
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