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p-n Junction — Formation, depletion layer, biasing

Semiconductor

11

JEE Qs

8%

Hard

75

min

Focus on the qualitative understanding of charge carrier movement, electric field changes, and potential barrier modification under different biasing conditions, along with the resulting I-V characteristics curve.

🧮 Key Formulas

V_B = (kT/q) * ln(N_A N_D / n_i^2) (Barrier potential)
I_D ≈ I_S (e^(V_D / ηV_T) - 1) (Diode current equation, where V_T = kT/q is thermal voltage, η is ideality factor)
V_T = kT/q (Thermal voltage)

✅ Key Points for JEE

  • 1p-n junction formation involves diffusion of majority carriers across the junction, creating a region of immobile charged ions (depletion layer) and establishing a potential barrier.
  • 2The depletion layer is devoid of mobile charge carriers (electrons and holes) but contains immobile positive donor ions in the n-region and negative acceptor ions in the p-region.
  • 3Forward biasing reduces the potential barrier and the width of the depletion layer, allowing majority carriers to flow and leading to an exponential increase in current after a certain knee voltage.
  • 4Reverse biasing increases the potential barrier and the width of the depletion layer, drastically reducing current flow to a small, constant reverse saturation current (due to minority carriers) until breakdown occurs.
  • 5Understanding the I-V characteristics for both forward and reverse bias, including the knee voltage (threshold voltage) and reverse breakdown voltage, is crucial for analyzing diode circuits.

⚠️ Common Mistakes

  • Confusing the role of immobile ions (fixed charges) in the depletion region with mobile charge carriers (electrons and holes) causing current.
  • Incorrectly stating that the depletion region contains a high concentration of mobile carriers; it is largely devoid of them.
  • Misinterpreting the direction of current flow or the change in potential barrier under forward vs. reverse bias.
  • Not understanding that the reverse saturation current is primarily due to minority carriers drifting across the junction, not majority carriers.
  • Failing to connect the decrease/increase in depletion layer width with the applied bias and the potential barrier height.

📝 Practice Questions

See all

Q27.Consider the following statements: A. The junction area of solar cell is made very narrow compared to a photo diode. B. Solar cells are not connected with any external bias. C. LED is made of lightly doped p-n junction. D. Increase of forward current results in continuous increase of LED light intensity. E. LEDs have to be connected in forward bias for emission of light. Choose the correct answer from the options given below: (1) B, E Only (2) B, D, E Only (3) A, C Only (4) A, C, E Only

2025·MCQMedium

Q43.Which of the following circuits has the same outpur as that of the given circuit? (1) (2) (3) (4)

2025·MCQMedium

Q33.Which of the following circuits represents a forward biased diode? Choose the correct answer from the options given below : (1) (A) and (D) only (2) (B), (D) and (E) only (3) (C) and (E) only (4) (B), (C) and (E) only

2025·ConceptualEasy

Q26. A B Y 0 0 1 0 1 1 1 0 0 1 1 1 To obtain the given truth table, following logic gate should be placed at G: 2025 (22 Jan Shift 2) JEE Main Previous Year Paper (1) OR Gate (2) AND Gate (3) NOR Gate (4) NAND Gate

2025·MCQEasy

Q28.The output of the circuit is low (zero) for : (A) X = 0, Y = 0 (B) X = 0, Y = 1 (C) X = 1, Y = 0 (D) X = 1, Y = 1 Choose the correct answer from the options given below : (1) (B), (C) and (D) only (2) (A), (B) and (C) only (3) (A), (C) and (D) only (4) (A), (B) and (D) only

2025·MCQEasy

Q45. In the circuit shown here, assuming threshold voltage of diode is negligibly small, then voltage VAB is correctly represented by : (1) VAB would be zero at all times (2) (3) (4)

2025·MCQMedium

NCERT Chapters

  • Class 12 Physics Ch 14: Semiconductor Electronics: Materials, Devices and Simple Circuits