deletions | additions       diff --git a/subsection_Slope_Method_The_direct__.tex b/subsection_Slope_Method_The_direct__.tex  index 252042a..4a50245 100644  --- a/subsection_Slope_Method_The_direct__.tex  +++ b/subsection_Slope_Method_The_direct__.tex 
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\subsection{Slope Method}  The direct fit method allowed us to find the angle of greatest sensitivity of the polarizer, which is the point of inflection on the V vs φ graph. To verify the value of the Verdet constant, we used a second method where the polarized stayed at the angle of greatest sensitivity, which is 45 degrees in our case. and we We got the angle by setting the second derivative of $\frac{dV}{d\theta}$ to zero. We then  varied the current of the solenoid, going in 0.5A steps from -3A to 3A, thereby varying the magnetic field within the solenoid between -33.3 mT and +33.3 mT. We could then graph voltage vs magnetic field, which results in a linear graph as shown in Figure \ref{fig:VB}. The slope of the graph is $\frac{\Delta V}{\Delta B}$. We calculated $\frac{\Delta V}{\Delta \phi}$ \theta}$  previously, so we can find $\frac{\Delta B}{\Delta\phi}$ B}{\Delta\thata}$  and therefore the Verdet constant. %Initially, we fit our data to the form $V=V_{0}(sin(\theta_{1}+\theta_{2}))^2$, which using trigonometry, is $V=V_{0}\frac{(1-cos(\theta_{1}+\theta_{2})^2)}{2}$ (the actual equation that we fit to). However, we should have been fitting to the form $V=V_{0}cos(\theta_{1}-\theta_{2})^2$, which is $V=V_{0}\frac{(1+cos(\theta_{1}-\theta_{2})^2)}{2}$. Now,   %$$sin(\theta_{1}+\theta_{2})^2=sin2(θ1-(-θ2))$$