QUESTION $4$

$($a$)$ An inverting amplifier is designed to have an ideal closed$-$loop voltage gain of $-50.$ The op$-$amp

used has a low$-$frequency, open$-$loop gain of $1\backslash$times $10^(5)$ and a dominant pole at $10$ Hz $.$

$($i$)$ Determine the actual closed$-$loop voltage gain A$\_($CL$)$ of the closed$-$loop amplifier.

$(2$ marks$)$

$($ii$)$ Determine the bandwidth f$\_(3$dB$)$ of the closed$-$loop amplifier. What is the closed$-$loop

voltage gain of the amplifier at f$=10\backslash$times f$\_(3$dB$)?$

$(6$ marks$)$

$($iii$)$ An input signal with peak voltage V$\_($po$)=0\mathrm{.}1$V at frequency f$=$f$\_(3$dB$)$ is applied to the

closed$-$loop amplifier. Determine the minimum slew rate required to ensure an

undistorted output voltage under these conditions.

$(4$ marks$)$

$($b$)$ The open$-$loop amplifier of a negative feedback amplifier has a low$-$frequency, open$-$loop gain

of $1\backslash$times $10^(5),$ and two poles at f$\_($p$1)=1$MHz and f$\_($p$2)=20$MHz$-180\backslash$deg and

determine the magnitude of the loop gain at this frequency.