# ESR Summary

• Link to the lab manual:

[1].

## Purpose

The purpose of this experiment is to figure out the $g_s\;$ factor from the spin flip transition of a free electron in a magnetic field.

## Results

• 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 $g_s\;$: 1.86

Uncertainty in $g_s\;$: 0.005

Accepted value for $g_s\;$: 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.