deletions | additions       diff --git a/section_Johnson_Noise_To_detect__.tex b/section_Johnson_Noise_To_detect__.tex  index 4e39602..f4f668a 100644  --- a/section_Johnson_Noise_To_detect__.tex  +++ b/section_Johnson_Noise_To_detect__.tex 
...
\section{Johnson Noise}  To detect Johnson Noise in order to find the Boltzmann constant, we used the Noise Fundamentals devices and two digital multi-meters. We collected two sets of data, one with a $10K$ ohm resistor, and another with a $1K$ ohm 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 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.