AE Notes
Complete guide to Light Emitting Diodes covering semiconductor physics, color selection, brightness calculations, and practical circuit design.
LED Diodes: From Physics to Practical Circuits
Light Emitting Diodes (LEDs) represent one of the most successful applications of semiconductors, found everywhere from indicator lights to architectural lighting. Understanding LED fundamentals is essential for modern electronics design.
LED Physical Principles
Band Gap and Light Emission
When a diode is forward-biased, electrons and holes recombine at the junction, releasing energy. In LEDs, this energy is released as photons (light) rather than heat.
Energy-Wavelength Relationship:
Band Gap vs Color:
| Semiconductor | Band Gap (eV) | Color | Wavelength |
|---|---|---|---|
| GaAs | 1.42 | IR (880nm) | 880 nm |
| AlGaAs | 1.87 | Red | 660 nm |
| GaAsP | 2.14 | Amber | 590 nm |
| GaP | 2.26 | Green | 550 nm |
| GaN | 3.40 | Blue | 470 nm |
| AlInGaN | 2.76-4.0 | UV to White | 250-400 nm |
Internal Quantum Efficiency
Not all recombination events produce useful photons. The quantum efficiency (QE) represents the percentage of injected carriers that recombine radiatively:
Modern LEDs achieve 40-90% internal QE, depending on semiconductor material and junction design.
LED Characteristics and Specifications
Forward Voltage (Vf)
The forward voltage drop depends on:
- Band gap energy: Higher = higher Vf
- Temperature: Vf decreases ~2 mV/°C
- Current level: Slight increase with current
Typical Forward Voltages:
- Red LEDs: 1.8-2.0V
- Yellow/Amber: 1.9-2.1V
- Green: 1.9-2.2V
- Blue: 3.0-3.4V
- White: 3.0-3.6V
- UV: 3.5-4.5V
Luminous Intensity
Measured in candelas (cd), this describes brightness in a specific direction. Don't confuse with:
- Luminous flux (lumens): Total light output
- Illuminance (lux): Light intensity at a surface
Color Rendering and Efficiency
Luminous Efficacy: Lumens per watt
Modern LED efficacy reaches 100+ lm/W, far exceeding incandescent (15 lm/W).
Color Temperature:
- Warm white: 2700-3000K (incandescent-like)
- Neutral white: 4000-4100K (office lighting)
- Cool white: 5000-6500K (daylight)
LED Circuit Design
Series Resistor Calculation
The most common circuit uses a current-limiting resistor:
Design Equation:
Example: Red LED at 5V supply
| Target current | 10mA |
| Standard resistor | 330Ω (provides 9.7mA) |
| Power dissipation | P = (5 - 1.8) × 0.01 = 32mW (1/4W resistor suitable) |
Power Dissipation in LEDs
Modern high-brightness LEDs consume significant power:
These require heat sinking to prevent thermal runaway:
Thermal Management Solutions:
- Aluminum PCB substrate
- Thermal interface material (TIM)
- Heat sink attachment
- Forced air cooling for high power
PWM Brightness Control
Pulse Width Modulation provides flicker-free brightness control:
Perceived brightness follows duty cycle (not linear response):
Practical PWM Circuit:
Frequency requirement: >100 Hz to eliminate visible flicker (100Hz minimum, 500Hz+ preferred).
Matrix LED Control
Controlling large LED arrays efficiently:
Multiplexing principle: Activate one row at a time, scanning rapidly (>60 Hz) for flicker-free appearance.
Current per row = I_led × Number_of_columns
RGB LED Applications
RGB (Red-Green-Blue) LEDs enable full-color displays:
Color Mixing (Additive):
- Red + Green = Yellow
- Red + Blue = Magenta
- Green + Blue = Cyan
- Red + Green + Blue = White
Brightness Normalization:
Different LEDs have different luminous efficacy. To produce white:
- Red: 100% brightness
- Green: 70% brightness (more efficient naturally)
- Blue: 40% brightness (less efficient)
This typically requires different resistor values to compensate.
LED Specification Analysis
Typical High-Power LED Datasheet Parameters:
| Parameter | Value | Notes |
|---|---|---|
| Vf (3W White) | 3.2-3.6V | Temperature dependent |
| Abs Max Current | 1200mA | Continuous at Tj < 85°C |
| Luminous Flux | 240 lm | Typical, at If=700mA |
| Color Temp | 5000-6500K | Varies by bin |
| CRI (Color Render Index) | 70-90+ | Higher is better |
| Wavelength (Red) | 620-630nm | Dominant wavelength |
| θ₁/₂ | 120° | Half-angle intensity |
| θJA | 50°C/W | Thermal resistance |
| Lifespan | 50,000 hours | At rated current |
Real-World LED Applications
Status Indicator Circuit
Automotive Brake Light
Thermal management critical due to:
- Continuous operation while braking
- Hot environment under car lighting
- Safety requirement for reliability
LED Flashlight/Torch
High-brightness LEDs (3-10W) require:
- Efficient buck converter to extend battery life
- Proper thermal heat sink
- Protection against over-temperature
Troubleshooting LED Circuits
Problem: LED won't turn on
- Check polarity (longer lead = anode/+)
- Verify supply voltage present
- Test resistor value (multimeter)
- Check for cold solder joints
- Measure LED forward voltage directly
Problem: LED too dim
- Reduce series resistor value
- Verify supply voltage
- Check for poor thermal contact (high-power LEDs)
Problem: LED burns out quickly
- Excessive current (forward voltage too high)
- Inadequate heat dissipation
- Electrostatic discharge (ESD) damage
Interview Q&A
Q1: What determines an LED's color?
A: The LED's color is determined by the band gap energy of the semiconductor material. Different materials produce different wavelengths: GaAs for infrared, AlGaAs for red, GaN for blue, and AlInGaN for UV through white. The band gap energy directly relates to wavelength through E = hc/λ.
Q2: Why does LED forward voltage increase with temperature, and how do we compensate?
A: Forward voltage decreases with temperature (approximately -2mV/°C) due to reduced band gap energy at higher temperatures. Analog circuits compensate using precision current sources instead of simple resistors. Digital circuits adjust PWM duty cycle based on temperature sensors or use regulated supplies.
Q3: Explain why we need current-limiting resistors for LEDs.
A: LEDs have negative resistance characteristics in their operating region—as voltage increases slightly, current increases exponentially. Without current limitation, they'd draw excessive current, generate extreme heat, and fail within milliseconds. Resistors provide linear current-voltage characteristics, preventing this runaway condition.
Q4: How do we calculate the total light output (lumens) from an LED?
A: Lumens = Candelas × Solid Angle. For a Lambertian source with viewing angle θ₁/₂, total lumens = π × I₀ × (sin(θ₁/₂))². Alternatively, use the datasheet's total flux specification, accounting for current and temperature conditions.
Q5: What's the difference between luminous intensity and illuminance?
A: Luminous intensity (candelas) describes brightness in a specific direction from the source. Illuminance (lux) measures light intensity falling on a surface, equal to intensity divided by distance squared. E = I / r² in lux.
Exam Focus
Revise definitions, diagrams, examples, and short-answer points for LED Diodes: Principles, Characteristics, and Applications.
Interview Use
Prepare one clear explanation, one practical example, and one common mistake for this Analog Electronics topic.
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