"I want to design a two$-$stage amplifier using a MOSFET, with the BS$170$ as the FET. The input signal is $V_s=2cos(t),$ with a transconductance $g_m=200m\frac{A}{V},V_{DD}=+20V,$ and a load resistor $R_L=10k.$ All coupling capacitors have a value of $C=10F.$ The gate$-$source voltage $V_{GSQ}$ should be set to the minimum value, and the quiescent drain current $I_{DSQ}$ should be positioned at the midpoint between the saturation and cutoff points. The biasing will be done using a voltage divider, and there will be no source resistance $(R_s=0).$

The first stage of amplification should provide a gain of $2,$ and the second stage should also provide a gain of $2,$ resulting in a total gain of $4.$ That means the output voltage should be $V_o=8cos(t).$ Since the amplification is inverted in the first stage, the final output should be non$-$inverted.

Each amplifier stage will have its own independent power supply for the DC biasing.

I would like to see the circuit diagram, transfer characteristic graph, and the design details. Additionally, I want to simulate the circuit using PSPICE and see the simulation circuit and the result graph."