Lesson 9.2 • Competency 9.1Complete Lesson
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p-n Junction Diodes & Zener Diodes

Examine depletion region physics, barrier potential, forward and reverse bias I-V characteristics, dynamic resistance, avalanche vs Zener breakdown, and voltage regulation.

Marking a lesson complete represents finishing your study of the topic; it does not denote tested mastery.

Learning Objectives

  • Explain how diffusion and recombination create the depletion region and contact barrier potential V_B (0.7 V for Si, 0.3 V for Ge).
  • Interpret forward and reverse I-V characteristic curves and calculate dynamic resistance r_d = ΔV / ΔI.
  • Analyze Zener diode breakdown mechanics (tunneling vs avalanche) and solve voltage regulator circuits.

Core Theory & Concepts

When a p-type semiconductor and an n-type semiconductor are metallurgically joined in a single monolithic crystal, free electrons and holes diffuse across the interface until an equilibrium internal electric field halts further net migration, establishing the fundamental p-n junction.

Barrier Potential

The built-in electric field in the depletion layer creates a potential barrier: ~0.7 V for Silicon and ~0.3 V for Germanium at room temperature.

V_B(\text{Si}) \approx 0.7\text{ V}, \quad V_B(\text{Ge}) \approx 0.3\text{ V}

Dynamic Resistance

The AC or dynamic resistance of a forward-biased diode is the reciprocal of the slope of its I-V characteristic curve: r_d = ΔV / ΔI.

r_d = \frac{\Delta V}{\Delta I}

Zener Voltage Regulator

When reverse-biased beyond its breakdown voltage V_Z, a Zener diode maintains an almost constant voltage despite large variations in supply voltage or load current.

V_L = V_Z, \quad I_s = \frac{V_{\text{in}} - V_Z}{R_s} = I_Z + I_L

Common Misconceptions

Misconception

A diode acts as a simple fixed linear resistor when forward biased.

Physical Clarification:A diode is highly non-linear. Below the knee voltage (~0.7 V for Si) negligible current flows; above knee voltage, current increases exponentially, and dynamic resistance drops to just a few ohms.

Syllabus Topic Outline

Competency 9.1
  • 1Depletion layer formation, uncovered ions, and internal electric field
  • 2Forward bias: narrowing depletion layer and exponential current
  • 3Reverse bias: widening depletion layer and tiny reverse saturation current (Is)
  • 4Dynamic resistance r_d = ΔV / ΔI calculation from I-V curves
  • 5Zener diode voltage regulator: V_out = V_Z, current limits, and load regulation

Practice Problems

1
Competency 9.1 • intermediate

A forward-biased silicon diode experiences a voltage increase from 0.70 V to 0.74 V, causing its current to rise from 10 mA to 30 mA. Calculate its dynamic resistance r_d in Ohms (Ω).

Ω