Vt egap 2 ef ev 112 20079 096v

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Unformatted text preview: ielectric constant of 3.8, Z/L = 25, µe = 450 cm2/Vs and VG − VT = 0.9 V. (a) What is the current in saturation? (b) What are the threshold voltage VT and the gate voltage VG? (a) The saturation current is given by (b) The Fermi energy in the body of the MOSFET is given by I sat = Z µeCox 25 ⋅ 0.045 3.8 ⋅ 8.854 × 10 −12 (VG − VT )2 = ⋅ (0.9 )2 = 10.22 mA . −9 2L 2 1.5 × 10 ⎛N ⎞ ⎛ 5 × 1017 ⎞ EF − Ev = − kBT ln ⎜ A ⎟ = −0.0259 ln ⎜ = 0.079 ⎝ 1.04 × 1019 ⎟ ⎠ ⎝ Nv ⎠ Inversion occurs at the threshold voltage when this distance (in energy) is made equal to Ec – EF, so that 5. VT = Egap − 2( EF − Ev ) = 1.12 − 2(0.079 ) = 0.96V . e Hence, the gate voltage is 1.86 V. The Curie temperature of iron is 1043 K. Iron atoms crystallize i...
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