GATE EC 2020 Set 1 — Question 42
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Electronic Devices → MOS Capacitor & MOSFET → MOS Capacitor (Accum, Depl, Inv)
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Question
The band diagram of a -type semiconductor with a band-gap of is shown. Using this semiconductor, a MOS capacitor having of , of and a metal work function of is fabricated. There is no charge within the oxide. If the voltage across the capacitor is , the magnitude of depletion charge per unit area (in ) is

Correct answer
(A) 1.70 × 10⁻⁸
Solution
1.Analyze the band diagram:
- Electron affinity
- Band gap
- Intrinsic level is at the center:
- Fermi level is above :
- Fermi potential
- Since there is no oxide charge,
- At threshold, surface potential
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