deletions | additions       diff --git a/To_detect_Johnson_Noise_in__.tex b/To_detect_Johnson_Noise_in__.tex  index 2e5a65a..3874a88 100644  --- a/To_detect_Johnson_Noise_in__.tex  +++ b/To_detect_Johnson_Noise_in__.tex 
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To detect Johnson Noise in order to find the Boltzmann constant, we used the Noise Fundamentals devices and two digital multi-meters. The Noise Fundamentals devices allow us to change the frequency of the ENBW, they provide sources of fluctuating ac voltage and current, and they provide amplifiers needed in order to view the small fluctuations of noise. We used the two digital multi-meters to measure the voltage and current coming out of the Noise Fundamentas box before the signal went through the amplifier and we used the other to measure the voltage and current after the signal went through the amplifiers. In the Noise Fundamentals box, there are ways to change the resistance, $R_{in}$. This resistor is important because   We collected two sets of data, one with a $10K$ ohm $10K \omega$  resistor, and another with a $1K$ ohm $1K \omega$  resistor, to make sure our data is consistent, to see the dependence of Johnson Noise on resistance, and to obtain a comparatively more accurate and precise value for the Boltzmann constant. We also collected data using a $1$ ohm resistor. Since the resistance is so small ($1$ ohm ($1 \omega$  resistor) that the Johnson noise is much smaller than the instrumental noise, we were able to find the noise in the apparatus to be subtracted out of our data for the $10\textrm{k}\Omega$ and $1\textrm{k}\Omega$ resistors. This will give us a more accurate result.