deletions | additions       diff --git a/textit_Kept_polarization_time_constant__.tex b/textit_Kept_polarization_time_constant__.tex  index 5d00f8a..a4c07be 100644  --- a/textit_Kept_polarization_time_constant__.tex  +++ b/textit_Kept_polarization_time_constant__.tex 
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-Then kept polarization time constant at 10s (saturation) and varied current, recording amplitude. In this way we can find dependence of magnetization on magnetic field.\\}  We could vary the polarization time and the current (and therefore magnetic field) to see their effects (if any) on precession frequency and amplitude (and therefore magnetization). In order to measure the frequency, we adjusted the scale of the oscilloscope so that we had at least 10 (but not many more) periods on the oscilloscope display, and measured the frequency for 10 cycles. We used frequency the oscilloscope measured for 10 cycles to determine the frequency of one cycle- the Larmor precession frequency. In order to measure amplitude, we chose the tops of three cycles which fell on the points t=0 ms, t=50 ms, ad t=100 ms, corresponding to the time after the polarization field is no longer applied, and measured the amplitude of the peak at each of those points as they were points which we could find easily on the oscilloscope. For all the data we took, we plotted the shape of the amplitude vs (whichever variable we were determining dependence upon) separately for each of the three points, as they should all tell us the same information but fall at different times in the data. \\  We first kept the polarization time constant at 4s and varied the current from 0.5A to 3.0A \textbf{(corresponding to varying field from x T to y T)} in order to determine the dependence of precession frequency upon polarization field. We found there to be no dependence, as predicted by Equation ~\ref{eq:precession}. We then kept the polarization time constant at 5s and varied the current, measuring the amplitude of the precession data using the method described above. We then fit the data to Eqn.\textbf{reference eqn}. We then kept the current constant and varied polarization time, measuring amplitude and therefore magnetization. We then fit the data to Eqn.~\ref{eq:growthrate} to find the rate of polarization of the water molecules. We again kept current constant at 3A and varied the polarization time, measuring the amplitude to find the time at which saturation occurs. We could hen then  record the amplitude seen when keeping the polarization at the saturation time (\sim{10}s, see Figure Figure~ref{fig:measurepolarizationtime}) and varying the current. In this way, we can find the dependance of magnetization on magnetic field.