Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 352 of 494
Which set of physical properties characterizes the depletion region of an isolated \( \text{P-N} \) junction at thermal equilibrium?
A
High mobile electron density, zero internal electric field, and low electrical resistance
B
Abundant free holes, negative barrier potential, and high electrical conductivity
C
Depleted of mobile charge carriers, high electrical resistivity, and immobile space-charge ions
D
Superconducting behavior, infinite carrier lifetime, and zero potential barrier
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: Depleted of mobile charge carriers, high electrical resistivity, and immobile space-charge ions
Concept:

The depletion region is formed by the diffusion and recombination of free carriers near the metallurgical junction, leaving behind fixed ionic charges.

Formula:

$$\rho = e(N_D - N_A) \quad (\text{space-charge density})$$

Solution:

  • The region is depleted of mobile electrons and holes.


  • It consists of immobile positive donor ions on the N-side and immobile negative acceptor ions on the P-side.


  • Because there are no free carriers, the region exhibits high electrical resistivity and maintains an internal electric field.


Why other options are incorrect:

  • Option A: The depletion region has a very low mobile carrier density and a strong internal electric field.
  • Option B: The depletion layer is depleted of free holes and acts as a resistive barrier rather than a conductor.
  • Option D: Semiconductors do not exhibit superconducting behavior at room temperature.

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