Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 309 of 494
When a PN junction is reverse-biased with a voltage \( V_R \), how does the energy band diagram across the junction change?
A
The barrier height decreases to zero
B
The total energy barrier height increases to \( q (V_0 + V_R) \), and the quasi-Fermi levels separate by \( E_{Fp} - E_{Fn} = q V_R \)
C
The conduction band on the N-side shifts above the P-side conduction band
D
The bandgap expands to 50 eV
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 total energy barrier height increases to \( q (V_0 + V_R) \), and the quasi-Fermi levels separate by \( E_{Fp} - E_{Fn} = q V_R \)
Concept:

Reverse bias raises the electrostatic potential barrier, shifting the N-side energy bands downward relative to the P-side bands and increasing the total barrier height to \( q(V_0 + V_R) \).

Formula:

$$q V_{\text{barrier,net}} = q (V_0 + V_R) \quad \text{and} \quad E_{Fp} - E_{Fn} = q V_R$$

Solution:

  • Applying a reverse voltage \( V_R \) adds to the built-in potential barrier, increasing the total barrier height to \( q(V_0 + V_R) \).


  • The N-side bands shift downward relative to the P-side bands, preventing majority carrier diffusion across the junction.


Why other options are incorrect:

  • Option A: The barrier height increases under reverse bias; it decreases under forward bias.
  • Option C: The N-side bands shift downward under reverse bias, not upward.
  • Option D: Applied bias does not change the intrinsic bandgap energy \( E_g \).

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