Explanation of band diagram of MOSFET

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SUMMARY

The voltage drop across the insulator in the band diagram of a MOSFET is linear due to the oxide layer being treated as having no current and no charge. According to Gauss's Law, the electric field (E) remains constant because the charge density (ρ) is zero, leading to a constant voltage gradient (dV/dx = E). This results in a linear relationship between voltage (V) and distance across the insulator.

PREREQUISITES
  • Understanding of MOSFET operation principles
  • Familiarity with Gauss's Law in electrostatics
  • Knowledge of electric field concepts
  • Basic semiconductor physics
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  • Study the derivation of the band diagram for MOSFETs
  • Learn about the impact of oxide thickness on MOSFET performance
  • Explore the relationship between electric field and voltage in semiconductor devices
  • Investigate the effects of charge density on electric fields in insulators
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ohopu
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Why the voltage drop across the insulator is linear in the band diagram of a MOSFET??
 
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ohopu said:
Why the voltage drop across the insulator is linear in the band diagram of a MOSFET??


It's because the oxide is considered to have no current and no charge; therefore, from Gauss Law: dE/dx = ρ/ε = 0... ergo E = constant. As dV/dx = E, V is linear with distance.
 

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