GATE EC 2026 Set 1 — Question 60
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Analog Circuits → BJT & MOSFET Amplifiers → Biasing & DC Operating Point
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Question
An -channel MOSFET is connected as shown in the Figure. Assume , , and and neglect channel length modulation effects. The gate voltage () of the -channel MOSFET (in Volt) is __.
(rounded off to two decimal places)
(rounded off to two decimal places)
Correct answer
2.5 to 2.6
Solution
1.Identify the region of operation:
In the given circuit, the gate is connected to the drain, so . Since the source is grounded (), we have .For the MOSFET to be in saturation, the condition is .
Substituting , we get , which simplifies to .
Given , this condition is satisfied, so the MOSFET is in the saturation region.
2.Write the drain current equation:
In saturation, the drain current is given by:Given and :
3.Apply KVL to the drain-source loop:
Since and , . Also, and :4.Solve the quadratic equation:
Using the quadratic formula :(The negative root is ignored as must be greater than ).
5.Final Answer:
The gate voltage .Continue learning with Success Tracker
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