deletions | additions       diff --git a/subsection_Direct_Fit_Method_We__.tex b/subsection_Direct_Fit_Method_We__.tex  index 71952b0..1ba5731 100644  --- a/subsection_Direct_Fit_Method_We__.tex  +++ b/subsection_Direct_Fit_Method_We__.tex 
...
\subsection{Direct Fit Method}  We plott the photodiode voltage versus angle of the polarizer with and without a magnetic field applied as shown in \ref{fig:directmethoddata}. It can be seen from the graph that the curve shifts a little bit, which is a direct result of the magnetic field. By applying curve fit to our data points, we find the phase shift between two curves is 4 degrees($d\theta$). The current provided to induce a magnetic field is -3A, which can be translated to dB using \ref{magneticfield}. With these numbers, we are able to calculate Verdet constant using:  \begin{equation}  c_v=\frac{1}{L}\frac{d\theta}{dB}  \end{equation}  where L is the length of the solenoid, which is 0.1m in our case.  %We  fit our data to a function of the form $V=V_{0}sin(\phi)^2$. We could find $\frac{\Delta V}{\delta \phi}$ by taking the derivative and using φ=45 degrees, and we could find ΔV by taking the difference of the voltage read by the photodetector when the laser is on (at maximum voltage read) and off. We could then find Δφ by calculating how much the angle of maximum transmission through the polarizer shifter. With all of this information, we could find dB/dφand use the equation $\frac{\Delta B}{\Delta \phi}=\frac{1}{L}\times\frac{1}{C_{v}}$ to find the Verdet constant of the glass tube. $$V_{c}=\frac{1}{L}\times \frac{\Delta\theta}{\Delta B}$$