GATE EC 2021 Set 1 — Question 54
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Analog Circuits → BJT & MOSFET Amplifiers → Biasing & DC Operating Point
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Question
For the transistor in the circuit shown in the figure, and , where is the mobility of electron, is the oxide capacitance per unit area, is the width and is the length.
The channel length modulation coefficient is ignored. If the gate-to-source voltage is to keep the transistor at the edge of saturation, then the threshold voltage of the transistor (rounded off to one decimal place) is ________ V.

Correct answer
0.5 to 0.5
Solution
For the transistor to be at the edge of saturation:From the circuit:Given: , , , .Substituting :Setting :Let :Solving the quadratic equation:Since for the transistor to be ON, , so .
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