The transconductance of n-channel MOSFET in linear region is:

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For a MOSFET in saturation, the current is given by:

In the linear region of operation, the current is given by:

W = Width of the Gate

Cox = Oxide Capacitance

μ = Mobility of the carrier

L = Channel Length

Vth = Threshold voltage

The transconductance of a MOSFET is defined as the change in drain current(ID) with respect to the corresponding change in gate voltage (VGS), i.e. 

Trans-conductance gm for the linear region will be:

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