Consider the circuit below, where the operational amplifier is ideal.

$1.$ Using Kirchhoff$$s laws and phasors, obtain the transfer function G$($j$)=$ V$2($j$)$

V$1($j$).$

$2.$ Assuming R $=100$ and C $=1$ mF$,$ compute its magnitude and phase.

$3.$ Assuming v$1($t$)=10$ sin$(20$t$),$ and using the frequency response analysis ap$-$

proach, compute the steady$-$state value of the output voltage, vss

$2($t$).$