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Steady-State Low level injection
• Definition of low level injection.
• Derivation of low level injection eqn.
• Derivation of Diode-Equation from low level injection eqn
Definition of low level injection
• Low level injection conditions for a P-N junction refers to
the state where the number of minority carriers generated
are small compared to the majority carriers of the material.
Essentially, the semiconductor's majority carrier concentration
will remain (relatively) unchanged, while the minority carrier
concentration sees a large increase. In this condition minority
carrier recombination rates are linear.
Derivation of low level injection eqn
1. Low level injection equation is derived from diffusion eqn.
2. Diffusion equation is derived from continuity eqn.
3. Continuity equation is derived from current density eqn.
current density eqn > continuity eqn > diffusion eqn > low level injection eqn
Current density equation
Continuity equation
Diffusion equation
Current density Continuity eqn
Diffusion equation
Low level injection
Derivation of Diode-Equation from low level
injection eqn
Diode equation

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Low level injection

  • 1. Steady-State Low level injection • Definition of low level injection. • Derivation of low level injection eqn. • Derivation of Diode-Equation from low level injection eqn
  • 2. Definition of low level injection • Low level injection conditions for a P-N junction refers to the state where the number of minority carriers generated are small compared to the majority carriers of the material. Essentially, the semiconductor's majority carrier concentration will remain (relatively) unchanged, while the minority carrier concentration sees a large increase. In this condition minority carrier recombination rates are linear.
  • 3. Derivation of low level injection eqn 1. Low level injection equation is derived from diffusion eqn. 2. Diffusion equation is derived from continuity eqn. 3. Continuity equation is derived from current density eqn. current density eqn > continuity eqn > diffusion eqn > low level injection eqn
  • 6. Diffusion equation Current density Continuity eqn Diffusion equation
  • 8.
  • 9. Derivation of Diode-Equation from low level injection eqn