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\subsection{ Lock-in Method}  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 and the fine frequency range adjustment 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 AC voltage which was driving the solenoid and recorded the RMS value of the corresponding varying photodiode voltage.   The big idea of the calculation associated with this method is illustrated in Equation :  \begin{equation}  \frac{1}{L}\left(\frac{d\theta}{dV_{pd}}\right)_{at ?} \frac{V_{pd, RMS}}{B_{RMS}}  \end{equation}  In order to calculate the magnetic field that corresponds to the applied voltage, we use equation \ref{conversion} to first convert from voltage to current. We then apply equation \ref{magneticfield} to get the field strength.   \begin{equation}