Design the common source amplifier in the provided circuit image to provide a gain of 20 while driving a capacitive load of $\mathrm{C}_{\mathrm{L}}=100 \mathrm{fF}$ with maximal bandwidth. The input source resistance is $\mathrm{R}_{\mathrm{s}}=40 \mathrm{k} \Omega$ and the supply voltage is 1.8 V . The ideal current source $I_{\text {bias }} \operatorname{sinks} 50 \mu \mathrm{~A}$ and the total power consumption is to be less than 1 mW .