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Question

Consider an abrupt p-n junction under thermal equilibrium. If the acceptor doping concentration (NA) in the p-region is made significantly larger than the donor doping concentration (ND) in the n-region (i.e., $N_A ≫ N_D$), how is the depletion region physically distributed?

This question was previously asked in
RRB JE 2025 CBT 2 Mechanical and Allied Engg Question Paper English (2-Jul-2026) (Shift-1)
The correct answer is

It extends primarily into the lightly doped n-type region.

This question examines how the depletion region of an abrupt p-n junction distributes itself when the two sides are doped unequally. At thermal equilibrium, diffusion of carriers across the metallurgical junction leaves behind fixed, ionized dopant atoms: negative acceptor ions on the p-side and positive donor ions on the n-side. This exposed charge forms the depletion (space-charge) region and sets up the built-in potential.

The controlling principle is overall charge neutrality of the depletion region — the total exposed negative charge on the p-side must equal the total exposed positive charge on the n-side:

NA × xp = ND × xn

where xp and xn are the depletion widths penetrating the p-side and n-side respectively. Rearranging:

xn / xp = NA / ND

When NA ≫ ND (heavily doped p-side, lightly doped n-side), the ratio NA/ND is large, so xn ≫ xp. In words: the side with fewer dopant atoms per unit volume must extend much farther to expose an equal amount of total charge. Therefore the depletion region extends primarily into the lightly doped n-type region — the correct answer. (This is exactly the principle behind a one-sided or p⁺-n junction.)

Why the other options are wrong:

  • Extends primarily into the heavily doped p-type region: this is the reverse of the physics — the heavily doped side exposes the required charge over a very short distance, so its depletion width is smallest, not largest.
  • Extends equally into both regions: this only occurs for a symmetric junction where NA = ND, which is explicitly not the case here.
  • Confined strictly to the junction with zero penetration: a real depletion region always has finite width on both sides to store the space charge and support the built-in field; zero width is unphysical.
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  2. The existence of cut-in voltage in a diode is mainly due to the presence of __________.

  3. What is the main disadvantage of a half-wave rectifier?

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Important Questions from PN Junction

  1. Diode junction breakdowns above 5 V are caused by:

  2. The leakage current in a pn junction is of the order of:

  3. For a PN junction, we have

    A. Width of depletion layer

    B. Junction barrier voltage

    C. Reverse leakage current

    Which of the above parameters will decrease when the temperature of the junction rises?

  4. The depletion region consists of:

  5. In the P-N junction, the barrier voltage

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