RCA invented Cmos logic a long time ago. They published the gain and high frequency response of an inverter (CD4069) at different supply voltages.
I think the responses of a CD4049 will be different.
A 74C04 is the same as a CD4069.
RCA invented Cmos logic a long time ago. They published the gain and high frequency response of an inverter (CD4069) at different supply voltages.
I think the responses of a CD4049 will be different.
A 74C04 is the same as a CD4069.
I don't know your book and I don't know which Cmos logic inverter is talked about in it. Maybe the inverter is not available and is just make-believe.
Ask a semiconductor manufacturer to make a few thousand like the one in your book then you can measure them all and form your own equations.
It sounds like a useless school assignment.
If I may propose the following. If we assume that both the NMOS and PMOS transistors are held in saturation and that the output voltage is 0.5*Vdd if we let Vgs-Vt = 0.2 then gm=10*Ids.
A complementary Cmos inverter is a class-A amplifier. When the supply voltage is increased then the idle current increases so the Mosfets are loading each other more and more which reduces the voltage gain.