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\chapter*{Faraday Rotation - Pre-lab exercise}

You can use the lab report template to prepare the submission of the pre-lab exercises. Feel free to use calculations or graphs in your final report, but you don't need to include prelab with the report.

\section*{1. Theoretical graph}

  Plot the expected dependence of the output intensity as a function of the angle $\theta$ between two polarizers, using Eq.(1). Estimate the number of points you need to take to reliably reproduce this curve in the experiment.
  
\section*{2. Optimization of the measurement settings}
Examine Eq.(4) to find the value of the angle $\theta$ that will provide maximum useful signal for measuring $\phi$.  

\section*{3. Estimation of the expected Faraday rotation}
Using Eq.(2) roughly estimate the value of the expected rotation angle for $B\approx 10$~mT. Check on-line sources to find a reasonable value for $C_V$ for glass.
  
\section*{4. Error analysis}
In this experiment you will be determining the error in the amplitude of an oscillating signal using its digitized form, recorded by an oscilloscope. A sample yellow trace, shown in Fig.(3), depicts the change in the signal voltage as a function of time. What would be a good measure of the uncertainty in its amplitude for such a measurement?



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