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Emily A Kaplan added By_changing_the_strength_of__.tex
over 8 years ago
Commit id: cf1502cb7eebc5501c71baa339628ccdbc6c5f44
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By changing the strength of the magnetic field \textbf{Helmholtz field} or the polarization time, we could study the effects on precession frequency and magnetization. Keeping the polarization time constant at 4s and varying the current from 0.5A to 3.0A (corresponding to varying polarization field from 7.5 mT to 45 mT), we can determine dependence of precession frequency upon polarization field. We found there to be no dependence, as predicted by Equation ~\ref{eq:precession}; and we found the precession frequency to be $1.852 kHz \pm 0.018 kHz$. We then kept the polarization time constant at 5s and varied the field, measuring the amplitude of the precession data using the method described above. We then fit the data to a linear fit, so we can determine the relationship between polarization time and magnetization. We then kept the polarization field constant at 45 mT and varied polarization time, measuring amplitude and therefore magnetization. We fit the data to Eqn.~\ref{eq:growthrate} to find the rate of polarization of the water molecules. We again kept field constant at 45 mT and varied the polarization time, measuring the amplitude to find the time at which saturation occurs. We could then record the amplitude seen when keeping the polarization at the saturation time (\sim{10}s, see Figure~\ref{fig:measurepolarizationtime}) and varying the current. In this way, we can find the dependence of magnetization on magnetic field.
