The MOSFET in the Common-Source Amplifier in Fig $g_{m}=5 \mathrm{~mA} / \mathrm{V}$

The MOSFET in the common-source amplifier in Fig. 10.9.1


Figure 10.9.1
is operating at $g_{m}=5 \mathrm{~mA} / \mathrm{V}$ and has $C_{g s}=1 \mathrm{pF}$ and $C_{g d}=0.2 \mathrm{pF}$ . Channel-length modulation is negligibly small.
(a) Find the midband voltge gain in $\mathrm{dB}$ .
(b) Find the upper 3-dB frequency, $f_{H}$ .
(c) Find the value of $C_{G}$ that places the pole it introduces at $1 \mathrm{~Hz}$ .
(d) Find the value of $C_{S}$ that places the pole it introduces at $100 \mathrm{~Hz}$
(e) Find the value of $C_{D}$ that places the pole it introduces at $10 \mathrm{~Hz}$ .
(f) Sketch and carefully label the Bode plot for the gain magnitude. Specify the lower 3-dB frequency, $f_{L}$ .