DO NOT USE CHATGPT OR AI

Problem $5$

For the final problem, we are going to take a look at a practical integrator circuit. For this circuit:

$-$ Determine the transfer function of the circuit in the s$-$domain $($remember for capacitors, Z $=1/($sC$)).$

$-$ Determine the transfer function of the circuit in the complex frequency domain by replacing $"$s$"$ with $"$jw$".$

$-$ Draw the bode magnitude plot of the circuits response, labeling the passband gain, cutoff frequency, rolloff, and axis.

$-$ This circuit is called a practical integrator, so what does the feedback resistor do to make the circuit "practical" $($think about what the bode plot would be if there was not a feedback resistor$).$