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CS Amplifier with Current Source Load :

Figure below shows the circuit diagram of CS amplifier with current source load. In this a current source is made by using a PMOS transistor operated in saturation mode by using a Gate bias Vb. The small signal model of this circuit is also shown in Figure below

Fig1-CS-Amplifier-with-Current-Source-Load.png

The equivalent circuit can be drawn as shown in figure below

Fig2-CS-Amplifier-with-Current-Source-Load.png

By applying KVL, Vin = VGS1

By applying KCL at node A

gm1 VGS1 + + = 0

\ gm1 Vin = - Vout

\ = An = - gm1 (ro1 || ro2)

In order to derive the output impedance consider the circuit shown in Figure below.

Fig3-CS-Amplifier-with-Current-Source-Load.png

\ By applying KCL at node A,

We get, gm1 VGS1 + + = Ix

Vx = Ix [ VGS1 = 0]

\ = Rout =

\ Rout = (ro1 || ro2)

\ Hence the output impedance of current source load of CS amplifier is ro 1 || ro2.