(60+5 bonus points) Problem I: Consider a GaAs pn junctio…
(60+5 bonus points) Problem I: Consider a GaAs pn junction diode with doping Nd = Na = 6 × 1016 cm−3. The electron and hole mobility values are μn = 5000 cm2/V-s and μp = 200 cm2/V-s, respectively, and the lifetime values are τ 0 = τ n0 = τ p0 = 1.8 × 10−8 s, ni= 1.6 × 106 cm−3, and relative permittivity is 13.1. Calculate Vbi , Calculate the depletion region thickness W under a reverse bias of Va= -100 Vt, Vt=kT/e Calculate the generation current density Jgen under a reverse bias of Va= -200 Vt. (Permittivity of vacuum ε0 = 8.85×10-14 F/cm, electronic charge q = 1.6×10-19 C, Boltzmann constant k = 8.62×10-5 eV/K, Planck constant h = 6.63×10-34 Js, Electronic volt eV =1.6×10-19 J) Problem II: Assume all the semiconductors considered here are uniform, nondegenerate, and in equilibrium. Given the information provided in each case in the table below, please fill in the missing information in the blank cells. Cases ii)-iii). Assume ii-iii) are at room temperature. (Optional, 5 bonus points) cases iv) and v). The value in the cell with “—“ is not provided. Do not assume it is zero. Cases n (cm-3) p (cm-3) ND (cm-3) NA (cm-3) ND+ (cm-3) NA- (cm-3) ni (cm-3) Doping Type (intrinsic, n or p) Regime (intrinsic, extrinsic, partial ionization) i 1016 1016 0 0 0 0 1016 intrinsic intrinsic ii 1018 6×1017 1×1018 6×1017 1010 iii 8×1015 2×1016 1012 iv (Optional ) 1011 10-15 4×1013 2×1012 — 10-2 v (Optional ) 2×1015 9×1014 7×1017