GATE EC 2022 Set 1 — Question 20
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Electronic Devices → MOS Capacitor & MOSFET → Cutoff, Triode & Saturation
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Question
The ideal long channel nMOSFET and pMOSFET devices shown in the circuits have threshold voltages of and , respectively. The MOSFET substrates are connected to their respective sources. Ignore leakage currents and assume that the capacitors are initially discharged. For the applied voltages as shown, the steady state voltages are _________________.

Correct answer
(C) V₁ = 4 V, V₂ = 5 V
Solution
For the nMOSFET circuit, the gate voltage and the drain voltage . The nMOSFET acts as a source follower. It will conduct until the source voltage reaches . Once , the gate-to-source voltage , and the transistor turns off. Thus, .For the pMOSFET circuit, the gate voltage and the source voltage . The gate-to-source voltage . Since (), the pMOSFET is strongly ON. It will charge the capacitor until the drain voltage reaches the source voltage . Thus, .Therefore, and , which corresponds to option (C).
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