GATE EC 2022 Set 1 — Question 59
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumSmall-Signal & Hybrid-Pi ModelBJT & MOSFET AmplifiersAnalog Circuits
Analog Circuits → BJT & MOSFET Amplifiers → Small-Signal & Hybrid-Pi Model
Last updated
Question
Consider the circuit shown with an ideal long channel nMOSFET (enhancement-mode, substrate is connected to the source). The transistor is appropriately biased in the saturation region with and such that it acts as a linear amplifier. is the small-signal ac input voltage. and represent the small-signal voltages at the nodes A and B, respectively. The value of is ________ (rounded off to one decimal place).

Correct answer
-2.1 to -1.9
Solution
In saturation the MOSFET is a voltage-controlled current source with small-signal drain current (ideal long channel: no channel-length modulation; substrate tied to source: no body effect). The gate draws no current, so the same flows through the drain resistor and the source resistor. is an ac ground, so
- node A (drain):
- node B (source):
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on BJT & MOSFET Amplifiers
2026 Set 1 Q17The ideal OP-AMP circuit shown in the Figure produces output voltage when the Switch, S,…2026 Set 1 Q18Consider the circuit shown in the Figure with and . Assume…2026 Set 1 Q50A small signal source, is applied to a BJT circuit as…2026 Set 1 Q53A circuit using an ideal OP-AMP is shown in the Figure. Which of the following options gives the…2026 Set 1 Q60An -channel MOSFET is connected as shown in the Figure. Assume ,…