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The ID–VDS of a 1980s vintage (but “ideal”) N-MOSFET is shown in the figure.2 3 IDsat 10-3A Vd VDsat= 5 V 10 V The VT = 1 V, tox = 100 nm (SiO2) and the source is grounded. (a) What regions of operation do points (1), (2), and (3) correspond to? (b) What is the applied gate voltage? (c) What is the inversion charge density (in electrons per cm2) at the source end of the channel, n(y = 0), and at the drain end of the channel, n(y = L), when the MOSFET is biased at point (3)? (d) The gate voltage is readjusted such that VGS - VT = 3 V. Using Matlab (or even carefully, by hand) please plot the new ID vs. VDS curve up to VDS = 10 V. (e) Using Matlab (or by hand) plot ID vs. VGS of this MOSFET at VDS = 1 V, for 0 ≤ VGS ≤ 10 V. (f) Determine gd when the MOSFET is biased at point (3). Is this realistic? Why/why not? (g) Determine the transconductance gm when the MOSFET is biased at point (3).

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