2023 Problem 01

Isaac P Abraham
2022 December 06

Out[]=

Given the MOSFET equation in the linear region of operation,

I

SD

=

V

OV

V

SD

(

1

)

we can derive trans-conductance gm

gm=



I

SD



V

OV

=

V

SD

and output resistance ro

ro=

1



I

SD



V

SD

=

1

V

OV

. The AC gain in the linear region of operation for a single MOSFET is,

A

V

=gm*ro=

V

SD

V

OV

(

2

)

We know that for optimal small signal operation,

V

OV

is best kept small and

V

SD

should be relatively (to

V

OV

), large.

With

V

OV

=

V

SG

-|VT|

and |VT|=vcc/3, what is the maximum small signal gain possible from this MOSFET in the linear region of operation? Your answer must follow from (or build upon) the expression for Av in (2).

■ Reply no later than a couple of days before the end of the month to isaac.abraham@intel.com, Subject “Analog Beat 2023 Problem #”. Last reply of multiple replies will be considered. Earlier replies help with tie-breaks at the end.