404014832 - LAB

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Al – Hamd College of Professional Education Hyderabad *

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MICROBIOLO

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Chemistry

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Nov 24, 2024

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docx

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4

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1 LAB Report 5 Student’s Name Professor’s Name Institute Name Date
2 Abstract The route of traveling electrons in a homogeneous magnetic field was observed in this experiment, and the charge-to-mass ratio of one electron was computed in this report. In other words, we were able to see how an electron beam traveled through a uniform magnetic field produced by a pair of Helmholtz coils, the field bent the beam into a circular path, and while doing so, we measured the radius of the circle, allowing us to calculate the charge to mass ratio. The goal of this experiment was to determine the radius of a circular electron beam in a magnetic field, compute the apparatus constant for a pair of Helmholtz coils, and calculate the charge-to- mass ratio for an individual electron. This experiment made use of specialized charging equipment as well as a transparent half-meter beam. Apparatus & Procedure The apparatus used in the experiment was Specialized charge equipment and a Half- meter transparent stick. Set the anode voltage to 150 V and the Helmholtz coil current to 1 A in Procedure 1.2. Steadily increase the filament current till the electron beam appears. Increase the filament current slightly if the beam is not seen. Rotate the tube until the electron beam is circular if it is helical. Reverse the connections to the Helmholtz coils if the beam does not materialize.3. Using the process, measure the diameter of the electrons' path.4. Repeat steps 3 and 4 with: Helmholtz coil current is 1.5 amps, and the anode voltage V is 150 volts. Anode voltage V = 200 volts, Helmholtz coil current = 1.0 amperes Anode voltage V = 200 volts, Helmholtz coil current = 1.5 amperes
3 Purpose The experiment tests the fundamental concepts of electromagnetic interactions to the test and gives a hands-on investigation of how charged particles respond to magnetic fields, allowing the charge-to-mass ratio of electrons to be determined. Calculation and Analysis Given values: R =0.14m, N =140, μ 0=4 π ×10−7Tm/A The formula for is given as C = (μ 0/(5/4)^3/2)* N/R, and formula of e/m is given by e/m= 2V/r^2I^2C^2 Anode Voltage V (v) Helmholtz coil current (A) Beam Diameter 2r (m) C e/m 150 1.0 0.079 8.99E-10 5.94768E+22 150 1.5 0.0210 8.99E-10 3.74094E+23 200 1.0 0.10 8.99E-10 4.94926E+22 200 1.5 0.055 8.99E-10 7.27165E+22 Table 1 – Calculation and Analysis
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4 The average of e/m is given as 1.38945E+23. The percentage of uncertainty is given as 0.5, which is 50 percent. Accepted Value = 1.756 ⋅ 1011 C/kg. Effect of Columb force Between electron beams, there is also electric force (the Coulomb force) and magnetic force, which implies that the electrons will flow in a helical pattern and then exhibit magnetic force. Conclusion This experiment demonstrated the principle of the interaction forces of electrons moving in a magnetic field. It also demonstrated how the force in the magnetic field is related to the length and current flowing through the conductor. To obtain the data, the beam and reflection have to be aligned with a ruler to obtain the diameter. We could establish a more exact calibration technique for our instruments, meticulously inspect and align the experimental apparatus, and conduct measurements under more controlled environmental circumstances to improve our experimental results. These changes may assist to reduce uncertainty and improve the accuracy of our computations.
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