GATE EC 2020 Set 1 Q32 — Combinatorial Circuits

The band diagram of a $p$-type semiconductor with a band-gap of $1$ eV is shown. Using this semiconductor, a $\text{MOS}$ capacitor having $V_{TH}$ of $-0.16 V$, ${C}'_{ox}$ of $100\:nF/cm^{2}$ and a metal work function of $3.87 \: eV$ is fabricated. There is no charge within the oxide. If the voltage across the capacitor is $V_{TH}$, the magnitude of depletion charge per unit area (in $C/cm^{2}$) is