Derive the current equation of MOS transistor current equations?Both saturation and linear regions!

Question

Accepted Answer

The current equation of a MOS transistor describes its behavior in both saturation and linear regions.

The current equation in saturation region is given by Ids = 0.5 * k * (Vgs - Vth)^2
The current equation in linear region is given by Ids = k * ((Vgs - Vth) * Vds - 0.5 * Vds^2)
Ids represents the drain current, Vgs is the gate-to-source voltage, Vth is the threshold voltage, Vds is the drain-to-source voltage, and k is a constant
In saturation region, the drain current is quadratic with respect to the gate-to-source voltage
In linear region, the drain current is linear with respect to both the gate-to-source voltage and the drain-to-source voltage

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