Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 372 of 494
The initial migration of free electrons and holes across a freshly formed \( \text{P-N} \) junction is driven by which physical mechanism?
A
An externally applied electrostatic potential difference
B
A steep carrier concentration gradient across the interface
C
Electromagnetic radiation emitted by ionized dopant atoms
D
Gravitational separation of electrons and holes based on mass
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: A steep carrier concentration gradient across the interface
Concept:

Carrier diffusion occurs when a concentration gradient exists between adjacent semiconductor regions, causing charge carriers to move from areas of high concentration to areas of low concentration.

Formula:

$$J_{n,\text{diff}} = e D_n \frac{dn}{dx}, \quad J_{p,\text{diff}} = -e D_p \frac{dp}{dx}$$

Solution:

  • The N-region has a high concentration of free electrons, while the P-region has a low concentration of free electrons.


  • The P-region has a high concentration of holes, while the N-region has a low concentration of holes.


  • This concentration gradient drives the diffusion of electrons into the P-region and holes into the N-region until space-charge equilibrium is established.


Why other options are incorrect:

  • Option A: Diffusion occurs spontaneously during junction formation without an external power supply.
  • Option C: Thermal energy (\( k_B T \)), rather than electromagnetic radiation, provides the energy for carrier motion.
  • Option D: Carrier motion is governed by electrostatics and concentration gradients, with gravitational effects being negligible.

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