Homework 9 Solutions
1. If
and
are matched and are both saturated, if , and if the Early effect is negligible, then ,
because they both have the same gate and source voltages. KCL implies that . Together,
these two equations imply that .
2. By setting
and applying KCL at node
V
, we find from the EKV model that
which we can invert and solve for
V
to find that
EQ
≈
In order for
to remain in saturation, we must have that , which implies that we must have
that
because
if
and
if . In order to keep
and
saturated, we must have that
and . In strong
inversion,
for
and
is given by , which implies that we should require
if
and
are to remain in saturation.
3. If we increase
relative to ,
will increase above , which would cause
V
to increase,
decreasing both
and
until . The net result would be that , that , and that
V
would be higher
than it was originally. If we were to increase
further, this trend would continue until
has
almost all of
and
has almost none. If instead we were to decrease
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 Spring '07
 SPENCER
 Gate, Microelectronics, Volt, net result, source voltages, EKV

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