Physics307L F08:People/Martin/ESR

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ESR Summary

  • Link to the lab manual:

[1].

Purpose

The purpose of this experiment is to figure out the Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle g_s\;} factor from the spin flip transition of a free electron in a magnetic field.

Results

ESR3.JPG

  • Above is a graph of the Magnetic field provided by the Helmholtz coils times the Bohr magnetron vs the frequency times Planck's constant. The slope is the g factor.

Final value for Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle g_s\;} : 1.86

Uncertainty in Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle g_s\;} : 0.005

Accepted value for Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle g_s\;} : 2

Relative error: 7.26%

How could we improve our experiment

  • Our percent error was about 7% this is not the best experiment we have done all semester but the results were still not bad.
  • Since most of our data yields the same result and the uncertainty in our result was small I believe that the main source of error was systematic.
  • If I were to do this experiment again, I would first check all of the equipment to insure that it all worked properly. This is the only thing that I can think to do to solve this systematic error problem.

Conclusions

  • Our percent error was about 7% this is not the best experiment we have done all semester but the results were still not bad.
  • I learned a lot during the experiment, mostly how to set up that complicated circuit and how to better use an oscilloscope to collect data.

Possible sources of error

  • Since most of our data yields the same result and the uncertainty in our result was small I believe that the main source of error was systematic.I am thinking bad equipment that might have effected our data.