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Official PYQ · 2016

GATE EC 2016 Set 2 Q38 — BJT and MOSFET Amplifiers

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Consider a long-channel NMOSNMOS transistor with source and body connected together. Assume that the electron mobility is independent of VGSV_{GS} and VDS.V_{DS}. Given,

gm=0.5μA/V for VDS=50 mV and  VGS=2 Vg_{m}=0.5\mu A/V \text{ for } V_{DS}=50\:mV \text{ and } \: V_{GS}= 2 \: V,

gd=8μA/V for VGS=2 V and VDS=0 Vg_{d}=8\mu A/V \text{ for } V_{GS}=2\:V \text{ and }V_{DS}=0 \:V, where gm=∂ID∂VGSg_{m}=\frac{\partial I_{D}}{\partial V_{GS}} andand gd=∂ID∂VDSg_{d}=\frac{\partial I_{D}}{\partial V_{DS}}

The threshold voltage (in volts) of the transistor is _________
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Answer: 1.18:1.22

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