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GATE EC 2022 Set 1 — Question 59

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NAT+2 / -0MediumSmall-Signal & Hybrid-Pi ModelBJT & MOSFET AmplifiersAnalog Circuits

Analog Circuits → BJT & MOSFET Amplifiers → Small-Signal & Hybrid-Pi Model

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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 VGGV_{GG} and VDDV_{DD} such that it acts as a linear amplifier. viv_i is the small-signal ac input voltage. vAv_A and vBv_B represent the small-signal voltages at the nodes A and B, respectively. The value of vAvB\frac{v_A}{v_B} is ________ (rounded off to one decimal place).
Circuit diagram with an nMOSFET, a $4\text{ k}\Omega$ drain resistor, and a $2\text{ k}\Omega$ source resistor
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