Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 364 of 494
When a \( \text{P-N} \) junction reaches dynamic thermal equilibrium with no external bias, which physical condition is satisfied?
A
All carrier diffusion ceases because thermal energy drops to absolute zero
B
The majority carrier diffusion current is equal in magnitude and opposite in direction to the minority carrier drift current
C
The depletion layer collapses, allowing free carrier circulation
D
The potential barrier across the junction becomes zero volts
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: The majority carrier diffusion current is equal in magnitude and opposite in direction to the minority carrier drift current
Concept:

Thermal equilibrium is a dynamic state where forward diffusion and reverse drift currents balance, resulting in zero net current through the junction.

Formula:

$$J_{\text{total}} = J_{\text{diffusion}} + J_{\text{drift}} = 0$$

Solution:

  • Concentration gradients drive majority carrier diffusion across the junction.


  • The resulting space-charge layer creates an electric field that sweeps minority carriers across in the opposite direction (drift).


  • At equilibrium, the diffusion and drift currents balance: \( |I_{\text{diffusion}}| = |I_{\text{drift}}| \).


  • As a result, the net current across the junction is zero.


Why other options are incorrect:

  • Option A: Diffusion continues at the microscopic level; it is balanced by drift rather than halted.
  • Option C: The depletion layer reaches a stable equilibrium width rather than collapsing.
  • Option D: A finite barrier potential (\( \approx 0.7\text{ V} \) for Si) exists at equilibrium to maintain current balance.

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