Common-Source Amplifier
*   “Common” means “grounded” or more generally, “connected to a DC supply”
What is going on with the load resistor RL?
    DC level of the output voltage is NOT zero ... but
    A “typical load” does not draw much if any DC current ... because it is non-
    linear and the load resistor is the load’s small-signal model!
    What is a “typical load”?
EE 105 Spring 2000                      Page 1                      Week 10, Lecture 22
     DC Bias Point of the Common-Source Amplifier
For biasing, we
   1. ignore the small-signal source vs and its small-signal resistance: RS --> 0 Ω
   2. ignore the load resistor (since it’s a small-signal resistance, too): RL --> inf. Ω
Where to set VOUT?
EE 105 Spring 2000                       Page 2                        Week 10, Lecture 22
                     Graphical “Load-Line” Analysis
The current through RD must equal the drain current.
                                V DD – V OUT
                         I D = -------------------------------- = I R
                                           RD                         D
What does this equation mean?
          VOUT
                                                                 VBIAS
EE 105 Spring 2000                                Page 3                  Week 10, Lecture 22
                Small-Signal Model of CS Amplifier
*   Substitute parameters at operating point selected so that V OUT ≈ V DD ⁄ 2
*   Find two-port parameters of this amplifier:
    “natural” to use the transconductance form
    Rin =
    Rout =
    Gm =
EE 105 Spring 2000                      Page 4                      Week 10, Lecture 22
       Two-Port Model of Common-Source Amplifier
*   Attach the source and load to find output current as a function of the source
    voltage
    Infinite input resistance is ideal for a voltage input
    Output resistance increases with RD increasing, but DC drain current ID will
    decrease and gm will decrease with ID1/2
EE 105 Spring 2000                        Page 5                     Week 10, Lecture 22
                        Current-Source Supplies
*   A current source to supply current, rather than a resistor, allows a high DC
    current for the device with a large incremental (small-signal) resistance
    The plot of iSUP vs. vSUP is: (note that vSUP must be positive)
            iSUP
                                                               vSUP
EE 105 Spring 2000                      Page 6                        Week 10, Lecture 22
       Common-Source with Current Source Supply
*   RD is replaced with idealized current source with internal resistance
*   For DC bias analysis, the small-signal source (with RS) and the load resistor RL
    are eliminated, along with the internal resistance roc of the current source
EE 105 Spring 2000                      Page 7                       Week 10, Lecture 22
            Graphical Analysis of CS Amplifier with
                   Current-Source Supply
   The region of input bias voltage VBIAS for which the current source and the
   MOSFET are in their constant-current regions is extremely small ....
           VOUT
                                                 VBIAS
EE 105 Spring 2000                    Page 8                       Week 10, Lecture 22
     Common-Source/Current-Source Supply Models
*   The small-signal model is identical to the resistor supply, except that the current
    source’s internal resistance roc replaces RD
Tradeoffs are different from case of resistor load since ID is now decoupled from
the small-signal current supply resistance roc
EE 105 Spring 2000                       Page 9                       Week 10, Lecture 22
               p-Channel Common-Source Amplifier
*   Source of p-channel is tied to positive supply; current supply sinks ISUP to
    ground or to lower supply
*   DC bias:
    Eliminate small-signal sources; control voltage is VSG = VDD - VBIAS
EE 105 Spring 2000                      Page 10                      Week 10, Lecture 22
                 p-Channel CS Small-Signal Model
*   p-channel MOSFET small-signal model has the source at the top
Transform this into a circuit with vgs as the control voltage
EE 105 Spring 2000                      Page 11                 Week 10, Lecture 22