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Revision: 11th Std >> Semiconductors MAH-MHT CET (PCM/PCB) Semiconductors

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Definitions [30]

Definition: Semiconductors

The material with electrical conductivity between that of a conductor and an insulator, whose number of charge carriers can be controlled as per requirement, is called a semiconductor. (e.g. Silicon, Germanium)

Definition: Energy Bands

The different energy levels with continuous energy variation are called energy bands.

Definition: Valence Band

The range of energies possessed by valence electrons is called valence band.

Definition: Conduction Band

The range of energies possessed by conduction electrons is called conduction band.

Definition: Forbidden Energy Gap

The energy difference between the valence band and the conduction band is called forbidden energy gap.

Definition: Conductors

The solids which have a large number of free electrons are called conductors. (e.g. Iron, Aluminium)

Definition: Insulators

The solids which have very small number of free electrons are called insulators. (e.g. Glass, Wood)

Definition: Intrinsic Semiconductor

A pure semiconductor such as pure silicon or pure germanium is called an intrinsic semiconductor.

Definition: Extrinsic Semiconductor

The semiconductor with impurity added to it is called a doped semiconductor or extrinsic semiconductor.

n-type Semiconductor

The semiconductor in which silicon or germanium crystal is doped with pentavalent impurity (donor), making electrons the majority charge carriers, is called an n-type semiconductor.

Definition: p-type Semiconductor

The semiconductor in which silicon or germanium crystal is doped with trivalent impurity (acceptor), making holes the majority charge carriers, is called a p-type semiconductor.

Definition: Static (DC) Resistance

The resistance offered by a p-n junction diode when it is in forward biased condition is called static (DC) resistance.

Definition: Dynamic (AC) Resistance

The resistance of a diode at a particular applied voltage is called dynamic (AC) resistance.

Definition: Avalanche Breakdown

When a high reverse voltage causes a sudden and uncontrollable increase in current, the phenomenon is called avalanche breakdown.

Definition: Junction Diode

A p-n junction when provided with metallic connectors on each side is called a junction diode.

Definition: p-n Junction

When n-type and p-type semiconductor materials are fused together, the junction formed is called a p-n junction.

Definition: Depletion Region

The formation of a narrow region on either side of the junction which becomes free from mobile charge carriers is called depletion region.

Definition: Potential Barrier

The difference in potential that prevents charge carriers from moving across the p-n junction is called the potential barrier.

Definition: Diffusion Current

The current flowing from p-side to n-side due to diffusion of electrons and holes because of concentration difference is called diffusion current.

Definition: Drift Current

The current flowing from n-side to p-side due to holes and electrons created in the depletion region is called drift current.

Definition: Photoresistor

A device that changes its resistance when light is incident on it is called a photoresistor.

Definition: Bi-polar Junction Transistor

A device with two junctions and three terminals is called a Bi-polar Junction Transistor.

Definition: Photodiode

A device that conducts electricity when illuminated with light is called a photodiode.

Definition: Light Emitting Diode

A device that emits light when current passes through it is called a Light Emitting Diode (LED).

Definition: Solid State Laser

A device that emits light of specific frequency is called a solid state laser.

Definition: Integrated Circuit

A small device having hundreds of diodes and transistors is called an integrated circuit.

Definition: Solar Cell

A device that converts light energy into electric energy is called a solar cell.

Definition: Thermistor

A temperature sensitive resistor whose resistance changes with change in its temperature is called a thermistor.

Definition: NTC Thermistor

A thermistor whose resistance decreases with increase in temperature and has a negative temperature coefficient is called an NTC thermistor.

Definition: PTC Thermistor

A thermistor whose resistance increases with increase in temperature and has a positive temperature coefficient is called a PTC thermistor.

Formulae [3]

Formula: Dynamic (AC) Resistance

ra = \[\frac {ΔV}{ΔI}\]

It is the reciprocal of the slope of the I-V characteristics at that point.

Formula: Static (DC) Resistance of a Diode

Rg = \[\frac {V}{I}\]

Formula: Dynamic Resistance of a Diode

rg = \[\frac {ΔV}{ΔI}\]

Key Points

Key Points: Energy Bands in Solids
  • Conductors → Eg = 0 - bands overlap, electrons flow freely.
  • Semiconductors → Eg < 3 eV — small gap, conducts at room temperature.
  • Insulators → Eg > 5 eV — large gap, no conduction.
  • Ge = 0.72 eV, Si = 1.1 eV — both semiconductors.
  • Metal conductivity decreases with temp. Semiconductor conductivity increases with temp. 
Key Points: Intrinsic Semiconductor
  • Pure substance - Intrinsic semiconductors are pure semiconductors (e.g. pure Si, pure Ge).
  • Conduction: They conduct electricity due to both charge carriers — electrons and holes.
  • Equal carriers — Number of holes = Number of free electrons per unit volume, i.e., ni = ne = nh​, where n = number density of charge carriers.
Key Points: Extrinsic Semiconductors
  1. Conductivity: Extrinsic semiconductors contain added impurities; conductivity increases depending on the valency of the impurity (p-type or n-type).

  2. n-type vs p-type carriers & formula

  n-type p-type
Majority carriers Electrons ((n_e \gg n_h)) Holes ((n_h \gg n_e))
Dopant Pentavalent — Sb, P, As Trivalent — B, Al, In
Relation ( n_i^2 = n_e \cdot n_h ) ( n_i^2 = n_e \cdot n_h )

Both n-type and p-type semiconductors are electrically neutral; holes are not actual charges but behave like a positive charge.

Key Points: p-n Junction Biasing
  • Potential Barrier — Silicon = 0.6–0.7 V, Germanium = 0.3–0.35 V; barrier is developed due to diffusion of electrons and holes in unbiased condition. 
  • Forward Biasing — p-side → +ve terminal; diode is ON; depletion region decreases; knee voltage seen in I-V characteristics.
  • Reverse Biasing — n-side → +ve terminal; diode is OFF; depletion region increases; breakdown voltage seen in reverse I-V characteristics.
Key Points: Semiconductor Devices: Advantages & Disadvantages
  • Size & Weight: Semiconductor devices are smaller in size and lightweight, which also enables faster speed of operation.
  • Power Consumption: They operate at small voltages (few mV) and require very less current (µA or mA), hence consume lesser power and produce almost no heating effects — making them thermally stable.
  • Controllability: The electronic properties of semiconductors can be controlled to suit our requirement, and fabrication of ICs is possible.
  • Sensitivity: They are sensitive to electrostatic charges, radiation, and fluctuations in temperature — making them fragile in harsh environments.
  • Limitations: They are not useful for controlling high power, require controlled conditions for manufacturing, and very few materials are semiconductors.
Key Points: Properties of Thermistor
  • It is a temperature sensitive resistor.
  • They can measure temperature variations of a small area due to their small size.
  • A small change in surrounding temperature causes a large change in resistance.
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