Electronic Devices
Semiconductors, p-n junction, diodes, transistor, logic gates.
p-n junction diode
Forward/reverse bias, IV characteristics, rectification.
Conductivity classification:
| Material | Band gap | Conductivity |
|---|---|---|
| Conductor (metal) | None or overlap | High |
| Semiconductor (Si, Ge) | ~1 eV (small) | Moderate, T-dependent |
| Insulator | ~5+ eV (large) | Very low |
Silicon (Si) band gap: 1.1 eV. Germanium (Ge): 0.7 eV.
Intrinsic semiconductor: pure Si or Ge. Conductivity rises sharply with temperature (more thermal electrons jump to conduction band).
Doping — adding small amounts of impurities (~1 in 10⁶ atoms) to control conductivity.
n-type: dope with pentavalent (P, As, Sb). Extra electron in conduction band. Electrons are majority carriers, holes minority.
p-type: dope with trivalent (B, Al, Ga). Creates "holes" in valence band. Holes are majority carriers, electrons minority.
Conductivity: σ = n_e e μ_e + n_h e μ_h (where μ = mobility, n = carrier density).
p-n junction. When p-type and n-type are joined:
- Near the junction, electrons from n-side diffuse to p-side; holes diffuse the other way.
- This creates a depletion region (no free carriers, only ionized donors/acceptors).
- An electric field builds up across the depletion region, opposing further diffusion. Equilibrium reached when drift = diffusion.
- Barrier potential ~0.7 V for Si, ~0.3 V for Ge.
Forward bias (p to +, n to −):
- Reduces barrier → current flows.
- I rises exponentially with V (Shockley equation: I = I₀(e^(V/V_T) − 1)).
- Used in rectifiers.
Reverse bias (p to −, n to +):
- Increases barrier → essentially no current (just a tiny reverse saturation current).
- At very high reverse voltage → breakdown (Zener or avalanche).
Diode applications:
1. Rectifier.
- Half-wave rectifier: one diode passes only positive half. Ripple frequency = input frequency.
- Full-wave rectifier: uses 2 or 4 diodes (bridge). Both halves used. Ripple frequency = 2× input.
Filter capacitor + transformer smooths the rectified DC. Output: nearly constant DC.
2. Zener diode. Designed to operate in reverse breakdown. Used as a voltage regulator.
3. LED (Light Emitting Diode). Forward-biased junction with direct band gap (GaAs, GaP). Recombination produces photons of energy hf ≈ E_g.
4. Photodiode. Reverse-biased; light generates electron-hole pairs → current proportional to light intensity. Used in light sensors.
5. Solar cell. Photodiode without external power; the light-generated EMF drives current through external load.
BJT (Bipolar Junction Transistor).
Three regions: emitter (E, heavily doped), base (B, lightly doped, very thin), collector (C, moderate).
Two types: npn and pnp.
Common-emitter (CE) amplifier:
- Input applied between base and emitter.
- Output taken between collector and emitter.
- Small base current controls large collector current.
- Current gain β = I_C / I_B (typically 50-500).
The output is amplified (in voltage and power) and phase-inverted by 180°.
Cutoff: B-E junction reverse biased → no I_C → output high → logic 0 or off state.
Saturation: B-E forward biased, B-C also forward → I_C maxed → output low → logic 1 or on.
Active: between cutoff and saturation; used for analog amplification.
Logic gates (from transistors): AND, OR, NOT, NAND, NOR, XOR. NAND and NOR are universal — any logic function can be built from them alone.
Transistors and logic gates
BJT, common-emitter; AND, OR, NOT, NAND, NOR.
Conductivity classification:
| Material | Band gap | Conductivity |
|---|---|---|
| Conductor (metal) | None or overlap | High |
| Semiconductor (Si, Ge) | ~1 eV (small) | Moderate, T-dependent |
| Insulator | ~5+ eV (large) | Very low |
Silicon (Si) band gap: 1.1 eV. Germanium (Ge): 0.7 eV.
Intrinsic semiconductor: pure Si or Ge. Conductivity rises sharply with temperature (more thermal electrons jump to conduction band).
Doping — adding small amounts of impurities (~1 in 10⁶ atoms) to control conductivity.
n-type: dope with pentavalent (P, As, Sb). Extra electron in conduction band. Electrons are majority carriers, holes minority.
p-type: dope with trivalent (B, Al, Ga). Creates "holes" in valence band. Holes are majority carriers, electrons minority.
Conductivity: σ = n_e e μ_e + n_h e μ_h (where μ = mobility, n = carrier density).
p-n junction. When p-type and n-type are joined:
- Near the junction, electrons from n-side diffuse to p-side; holes diffuse the other way.
- This creates a depletion region (no free carriers, only ionized donors/acceptors).
- An electric field builds up across the depletion region, opposing further diffusion. Equilibrium reached when drift = diffusion.
- Barrier potential ~0.7 V for Si, ~0.3 V for Ge.
Forward bias (p to +, n to −):
- Reduces barrier → current flows.
- I rises exponentially with V (Shockley equation: I = I₀(e^(V/V_T) − 1)).
- Used in rectifiers.
Reverse bias (p to −, n to +):
- Increases barrier → essentially no current (just a tiny reverse saturation current).
- At very high reverse voltage → breakdown (Zener or avalanche).
Diode applications:
1. Rectifier.
- Half-wave rectifier: one diode passes only positive half. Ripple frequency = input frequency.
- Full-wave rectifier: uses 2 or 4 diodes (bridge). Both halves used. Ripple frequency = 2× input.
Filter capacitor + transformer smooths the rectified DC. Output: nearly constant DC.
2. Zener diode. Designed to operate in reverse breakdown. Used as a voltage regulator.
3. LED (Light Emitting Diode). Forward-biased junction with direct band gap (GaAs, GaP). Recombination produces photons of energy hf ≈ E_g.
4. Photodiode. Reverse-biased; light generates electron-hole pairs → current proportional to light intensity. Used in light sensors.
5. Solar cell. Photodiode without external power; the light-generated EMF drives current through external load.
BJT (Bipolar Junction Transistor).
Three regions: emitter (E, heavily doped), base (B, lightly doped, very thin), collector (C, moderate).
Two types: npn and pnp.
Common-emitter (CE) amplifier:
- Input applied between base and emitter.
- Output taken between collector and emitter.
- Small base current controls large collector current.
- Current gain β = I_C / I_B (typically 50-500).
The output is amplified (in voltage and power) and phase-inverted by 180°.
Cutoff: B-E junction reverse biased → no I_C → output high → logic 0 or off state.
Saturation: B-E forward biased, B-C also forward → I_C maxed → output low → logic 1 or on.
Active: between cutoff and saturation; used for analog amplification.
Logic gates (from transistors): AND, OR, NOT, NAND, NOR, XOR. NAND and NOR are universal — any logic function can be built from them alone.