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Emily A Kaplan edited subsection_Lock_in_Method_I___.tex
over 8 years ago
Commit id: d98b5c27180769ffeaf1f2e455668c38ffd1c304
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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, 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.
$$I_{rms}=0.6137\times V_{rms}$$
$$B=11.1\times\frac{mT}{A}\times I$$
$$Gain=G_{preamplifier}\times G_{filter}\times G_{lock-in-amplifier}\times G_{lowpass filter}=500\times2\times10\times1=10000$$