Problem $3$

Assume Vs is $1[V]$ peak to peak at $1kHz,R=1$Kohm,$C=100pF,$ at the temperature of $300$ K $,$ how much the noise voltage at Vo$?$

${\displaystyle \underset{0}{\overset{}{}}}\frac{1}{1+x^2}dx=ta{n}^{-1}(x){|}_0^{}||=ta{n}^{-1}()-ta{n}^{-1}(0)=\frac{}{2}-0=\frac{}{2}$