Transistors – How to Calculate Voltage Gain in Circuit

analysiscircuit analysismosfettransistors

schematic

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I know that by using \$A_v=-G_mR_{out}\$, and \$G_m=\frac{I_{out}}{V_{in}}\$, we can get the voltage gain of this circuit.

After the small signal simplification, I got:

schematic

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So, as node 1 is 0 volt, there is no current goes thru \$M_2\$, then \$I_{out}\approx g_{m1}V_{in}\$ ? So that \$G_m=g_{m1}\$ which is the \$g_m\$ of \$M_1\$? Also, the \$R_{out}\$ is \$R_{02}\$, and is the voltage gain of this circuit \$-g_{m1}R_{02}\$?
Thank you!!!!

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schematic

simulate this circuit

What about this circuit?

After the small signal, I got:

schematic

simulate this circuit

Best Answer

The voltage gain is 0, because \$V_{out}\$ is connected directly to a voltage source, so its voltage will never vary, no matter what signal is present at the input.

Furthermore, M2 will probably catch fire, because its gate and drain are connected directly to the Vcc supply, which will cause a large current to flow through the FET, while it also must drop the full Vcc voltage.