Friday, 6 March 2026

 

Page 2 – PN Junction Diode (Complete Theory + Derivation)

                                             
Picture used in analog electronics

Foundation of Analog Electronics – Device Physics + V-I Characteristics + Current Equation


🔹 1️⃣ Formation of PN Junction

When P-type and N-type semiconductors are joined, electrons diffuse from N → P and holes from P → N.

This diffusion creates: ✔ Depletion Region ✔ Built-in Electric Field ✔ Barrier Potential

Barrier Potential:

Vbi = (kT/q) ln(NAND/ni²)


🔹 2️⃣ Biasing of Diode

Forward Bias

  • Barrier reduces
  • Current increases exponentially

Reverse Bias

  • Barrier increases
  • Only leakage current flows

🔹 3️⃣ Diode Current Equation (Very Important)

I = IS ( eV/ηVT − 1 )

Where:

  • IS = Reverse saturation current
  • VT = kT/q ≈ 26mV at 300K
  • η = 1 (Ge), 2 (Si approx)

🔹 4️⃣ Small Signal Resistance

rd = ηVT / ID

Used in small signal model for amplifiers.


🔹 5️⃣ Temperature Effect

✔ IS doubles for every 10°C rise ✔ VT increases slightly ✔ Diode becomes more conductive


🔹 6️⃣ Important GATE Points

✔ Remember exponential relation ✔ At V >> VT, −1 can be neglected ✔ rd formula frequently asked ✔ Temperature effect important in numericals


Analog Electronics – PN Junction Complete Derivation | Shaktimatha Learning

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