GATE EC 2022 Set 1 Q30 — BJT and MOSFET Amplifiers

Consider an ideal long channel $n \text{MOSFET}$ (enhancement-mode) with gate length $10 \; \mu \text{m}$ and width $100 \; \mu \text{m}.$ The product of electron mobility $(\mu_{n})$ and oxide capacitance per unit area $(C_{\text{ox}})$ is $\mu_{n} C_{\text{ox}} = 1 \; \text{mA/V}^{2}.$ The threshold voltage of the transistor is $1 \; \text{V}.$ For a gate-to-source voltage $V_{GS} = [2 – \sin (2t)] V$ and drain-to-source voltage $V_{DS} = 1 \; \text{V}$ (substrate connected to the source), the maximum value of the drain-to-source current is _____________.