User:David J Weiss/Notebook/people/weiss/Formal: Difference between revisions

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==<center>Abstract</center>==
==<center>Abstract</center>==
The ratio for electric charge to the mass of an electron is a fundamental concept in physics and a good experiment to be conducted by persons interested in a study of physics.{{SJK Comment|l=18:20, 2 December 2009 (EST)|c=I would change the last half of the sentence to something like, "a useful experiment for undergraduate physics students to conduct."  The second sentence "With this result..." seems redundant.}}  With this result you can determine how much charge an electron has in relation to its mass.  From this you can conclude how the electron is affected by gravity and by the electric field.  {{SJK Comment|l=23:56, 2 December 2009 (EST)|c=We would rarely care about the gravitational pull on the electron--the mass important because the inertia of the electron affects it's behaviorI'd change this third sentence to reflect that.  More than that, I'd recommend saying that "In combination with independent measurements of the electron's charge, this allows us to deduce the mass of the electron, important for many quantum mechanical calculations."<Br><br>Following this sentence, you begin talking about what you did.  You do not have to cite Gold's manual hereYou can instead just say something like, "We observed the trajectory of electrons of known energy in a known magnetic field.  Measurements of the radii of curvature as function of electron energy and magnetic field, [were fit to Lorentz force relations] to deduce the e/m ratio." }}To find this we use a procedure that is outlined in Professor Gold's Laboratory Manual<small><sup>1</sup></small>.  This can be done with an electron gun a Helmholtz Coil and a couple of power sources.  With all these things we can determine how a beam of electrons curves within a magnetic field and thus measure a radius and with some tricky manipulation figure the ratio for electric charge compared to mass for the electrons.  {{SJK Comment|l=23:59, 2 December 2009 (EST)|c=You don't need the phrase "based upon my calculations".  Also, it's more common to say "we" than I.  You can say, I, but given that you worked with someone else, you may as well say "we."  Your final thought is not rigorous enough. You should say something like, "we measured the ratio as __ +/- __ coul/kg.  This was __ standard deviations away from the accepted value, indicating that substantial systematic error remained.  We discuss possibilities for sources of this error."}}Based upon my calculations I found that the electric charge versus the mass for an electron is approximately 2.3(.23)*10^11 coul/kg and this was off by about 30.68% and considering that the main measurement for the radii was taken by reading a ruler on the back of the electron gun I think that it is a good result.
The ratio for electric charge to the mass of an electron is a fundamental concept in physics and useful for future students interested in the study of physics.  From this you can conclude how the electron is hardly affected by gravity and how the electric field governs how the electron behavesThis is important to know for the reason that it is one of the most important values in quantum mechanics.  We did this by means of observing the trajectory of electrons in a known constant magnetic field.  From this you can find the ratio of electric charge to mass for an electron as a function of observed radii, magnetic field, and energy.  This can be done with an electron gun a Helmholtz Coil and a couple of power sources.  With all these things we can determine how a beam of electrons curves within a magnetic field and thus measure a radius and with some tricky manipulation figure the ratio for electric charge compared to mass for the electrons.  From my experimental data we found that the ratio of e/m is 2.3+/-.23*10 coul/kg.  This was one standard deviation away from the accepted value.  There was still some systematic and random error that was prevalent throughout the experiment.  We will discuss the reasons and sources of these errors.
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==<center>References</center>==
==<center>References</center>==

Revision as of 20:57, 8 December 2009

Experimental Determination of the Electron Charge to Mass Ratio

Author: David Weiss
Experimentalists: David Weiss, Elizabeth Allen
University of New Mexico,
Department of Physics and Astronomy
MSC07 4220, 800 Yale Blvd NE, Albuquerque, New Mexico 87131-0001 USA
Contact info: dweiss01@unm.edu

Abstract

The ratio for electric charge to the mass of an electron is a fundamental concept in physics and useful for future students interested in the study of physics. From this you can conclude how the electron is hardly affected by gravity and how the electric field governs how the electron behaves. This is important to know for the reason that it is one of the most important values in quantum mechanics. We did this by means of observing the trajectory of electrons in a known constant magnetic field. From this you can find the ratio of electric charge to mass for an electron as a function of observed radii, magnetic field, and energy. This can be done with an electron gun a Helmholtz Coil and a couple of power sources. With all these things we can determine how a beam of electrons curves within a magnetic field and thus measure a radius and with some tricky manipulation figure the ratio for electric charge compared to mass for the electrons. From my experimental data we found that the ratio of e/m is 2.3+/-.23*10 coul/kg. This was one standard deviation away from the accepted value. There was still some systematic and random error that was prevalent throughout the experiment. We will discuss the reasons and sources of these errors.

References

1.Professor Golds Lab Manual

2. J. Thompson, "Cathode Rays". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Fifth Series, 296 (1897)

3.R. A. Millikan, "On the elementary electrical charge and the Avogadro constant". The Physical Review, Series II 2: 109–143 (1913).

4.Lorenz Force [1]

5.R. Merritt, C. Purcell, and G. Stroink. "Uniform magnetic field produced by three, four, and five square coils". Review of scientific Instruments, Volume 54, Issue 7, 879 (1983).

6.R.C. Gibbs and R.C. Williams, "The Electronic Atomic Weight and e/m Ratio". The Physical Review, Volume 44, Issue 12, 1029 (1933).