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Q. What is the voltage gain of common gate amplifier?
The controlled source gmVgs is connected from drain to source with rd in parallel.The resistor is connected Rs is connected from source to ground.The isolation between input and output circuits has been lost since the gate terminal is connected to the ground.
By applying KCL to the small signal equivalent circuit, ir = id -gmVgs
Applying KVL to the outer loop,
Vo = (id -gmVgs)rd + Vsg
But ,Vsg = -Vgs = Vi and id = -Vo/RD
Therefore
Vo = (-Vo /RD + gmVi)rd + Vi
Voltage gain,
Av =Vo/Vi = (gmrd +1)RD /(RD + rd)
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