D $9\mathrm{.}5$ A particular version of the CS amplifier in Fig. $9\mathrm{.}2$ uses a transistor biased to operate with mA$/$V$.$ Resistances k $,$ M $,$ k $,$ and k $.$ As an initial design, the circuit designer selects F$.$ Find the frequencies $,,$ and and rank them in order of frequency, highest first. Calculate the ratios of the first to second, and second to third. The final design requires that the first pole dominate at $10$ Hz with the second a factor of $4$ lower, and the third another a factor of $4$ lower. Find the values of all the capacitances and the total capacitance needed. If the separation factor were $10,$ what capacitor values and total capacitance would be needed? $($Note: You can see that the total capacitance need not be much larger to spread the poles, as is desired in certain applications.$)$ D $9\mathrm{.}6$ Repeat Example $9\mathrm{.}1$ to find $,,$ and that provide Hz and the other pole frequencies at $4$ Hz and $1$ Hz$.$ Design to keep the total capacitance to a minimum. $690$

Chapter $9$ Frequency Response

Figure $9\mathrm{.}2($a$)$ Capacitively coupled common$-$source amplifier. $($b$)$ Analysis of the CS amplifier to determine its low$-$frequency transfer function. For simplicity, $\backslash ($ r$\_\{$o$\}\backslash )$ is neglected.