deletions | additions       diff --git a/Linearly_polarized_light_was_sent__1.tex b/Linearly_polarized_light_was_sent__1.tex  index cbc956e..04aee81 100644  --- a/Linearly_polarized_light_was_sent__1.tex  +++ b/Linearly_polarized_light_was_sent__1.tex 
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%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 %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. A %A  third method for finding the Verdet constant of a material involves using a lock-in amplifier to better read the signal from the photodiode. The lock-in we used was set at a frequency range was 100 Hz, the fine frequency range was 10 Hz. The lock-in amplifier had a gain of 10, the pre-amplifier a gain of 500, the bandpass filter a gain of 2, and the low pass filter a gain of 1.We used a function generator to sinusoidally drive the voltage going into the solenoid, using a frequency of 100 Hz. We varied the RMS value of the voltage driving the solenoid and recorded the RMS value of the corresponding photodiode voltage.