Problem $9-(20$ Points$)$: $(10$ pts each$)$

Answer the following question. Show all your works.

$($a$)$ The integrator shown below is used to amply a sinusoidal input by a factor of $20.$ If the

open loop gain of the op amp is A$\_(0)=\backslash$infty and R$\_(1)$C$\_(1)=30$ns$,$ compute the frequency of the

sinusoid$.$

$($b$)$ This time, the integrator shown below must provide a pole at no higher than $10$ Hz $.$ If the

values of R$\_(1)$ and C$\_(1)$ are limited to $100$k$\backslash$Omega and $2$ nF $,$ respectively, determine the required

gain, A$\_(0),$ of the op amp.