deletions | additions       diff --git a/Linearly_polarized_light_was_sent__1.tex b/Linearly_polarized_light_was_sent__1.tex  index b361c7d..9cf8bc7 100644  --- a/Linearly_polarized_light_was_sent__1.tex  +++ b/Linearly_polarized_light_was_sent__1.tex 
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Linearly polarized light was sent through the solenoid containing a glass tube but without any current flowing through it, passed through the polarizer, and detected by the photodiode. We rotated the polarizer around 360 degrees, using 15 degree steps, and recorded the voltage read by the photodetector. We then repeated the previous procedure, but with a current of -3.0 amps running through the solenoid, therefore producing a magnetic field of XXXXXX mT.  ADD A PARAGRAPH EXPLAINING (1) WHY YOU WOULD VARY THE MAGNETIC FIELD (TO MEASURE THE FIELD-INDUCED-ROTATION IN POLARIZATION ANGLE OF THE LIGHT AS IT PASSES THROUGH THE GLASS ROD) AND (2) WHAT THAT ALLOWS YOU TO DO (DEMONSTRATE THAT MAGNETIC FIELD INDUCES A CHANGE, AND DETERMINE THE VERDET CONSTANT, WHICH IS A MEASURE OF HOW LARGE A CHANGE IN POLARIZATION ANGLE CAN BE PRODUCED FOR A GIVEN MAGNETIC FIELD).   \begin{eqnarray}  c_v & = & \frac{1}{L}\frac{d\theta}{dB} \\  & = & \frac{1}{L}\frac{\Delta \theta}{\Delta B} \\  & = & \frac{1}{L}\frac{dV_{pd}}{dB}\frac{d\theta}{dV_{pd}}\\  & = & \frac{1}{L}\frac{V_{pd, RMS}}{B_{RMS}}\left(\frac{d\theta}{dV_{pd}}\right)   \end{eqnarray}   THIS PARAGRAPH SHOULD BE IN ANALYSIS:  We then 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. The previous method mentioned 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 and we varied the current of the solenoid, going in 0.5A steps from -3A to 3A, thereby varying the magnetic field within the solenoid between - XXXXX mT and + XXXXX mT. We could then graph voltage vs magnetic field, which results in a linear graph. The slope of the graph is $\frac{\Delta V}{\Delta B}$. We calculated $\frac{\Delta V}{\Delta \phi}$ previously, so we can find $\frac{\Delta B}{\Delta\phi}$ and therefore the Verdet constant.