- In solids, atomic energy levels split and form energy bands due to the interaction between atoms.
- Inner levels split very little, but outer (valence) levels split more.
- Electrons can have energies only within these allowed energy bands.
- The highest filled band is the valence band, and the next higher band is the conduction band, where current flows.
- The gap between these bands where electrons cannot exist is called the forbidden energy gap.
Topics
Electric Charges and Fields
- Electric Charge
- Electrical Conduction in Solids
- Principle of Superposition
- Electric Field
- Electric Field Due to a System of Charges
- Physical Significance of Electric Field
- Electric Lines of Force
- Electric Flux
- Electric Dipole
- Dipole in a Uniform External Field
- Continuous Charge Distribution
- Gauss’s Law
- Applications of Gauss' Theorem
- Charging by Induction
- Electric Field Intensity Due to a Point-Charge
- Uniformly Charged Infinite Plane Sheet and Uniformly Charged Thin Spherical Shell (Field Inside and Outside)
- Overview: Gauss' Theorem
- Conductors and Insulators
- Important Properties of Electric Charge
- Scalar Form of Coulomb’s Law
- Electric Field due to an Electric Dipole
Electrostatics
Current Electricity
Electrostatic Potential and Capacitance
- Electric Potential
- Potential Due to a Point Charge
- Potential Due to an Electric Dipole
- Potential Due to a System of Charges
- Equipotential Surfaces
- Relation Between Electric Field and Electrostatic Potential
- Potential Energy of a System of Charges
- Potential Energy of a Single Charge
- Potential Energy of a System of Two Charges in an External Field
- Potential Energy of a Dipole in an External Field
- Electrostatics of Conductors
- Dielectrics
- Capacitors and Capacitance
- The Parallel Plate Capacitor
- Effect of Dielectric on Capacity
- Combination of Capacitors
- Energy Stored in a Charged Capacitor
- Van De Graaff Generator
- Capacitance of a Parallel Plate Capacitor with and Without Dielectric Medium Between the Plates
- Free Charges and Bound Charges Inside a Conductor
- Conductors and Insulators Related to Electric Field
- Electrical Potential Energy of a System of Two Point Charges and of Electric Dipole in an Electrostatic Field
- Potential and Potential Difference
- Overview: Electric Potential
- Overview: Capacitors and Dielectrics
Magnetic Effects of Current and Magnetism
Current Electricity
- Electric Current
- Concept of Electric Currents in Conductors
- Ohm's Law
- Current Density
- Drift of Electrons and the Origin of Resistivity
- Limitations of Ohm’s Law
- Resistivity of Various Materials
- Temperature Dependence of Resistance
- Electrical Power
- Cells, Emf, Internal Resistance
- Cells in Series
- Kirchhoff’s Laws
- Wheatstone Bridge
- Conductivity and Conductance;
- Delta Star Transformation
- Potential Difference and Emf of a Cell
- Measurement of Internal Resistance of a Cell
- Potentiometer
- Metre Bridge: Slide-Wire Bridge
- A combination of resistors in both series and parallel
- Specific Resistance
- V-I Characteristics (Linear and Non-linear)
- Flow of Electric Charges in a Metallic Conductor
- Overview: Electric Resistance and Ohm's Law
- Overview: DC Circuits and Measurements
Electromagnetic Induction and Alternating Currents
Moving Charges and Magnetism
- Magnetic force
- Sources and Fields of Magnetic Force
- Magnetic Field, Lorentz Force
- Force on a Current Carrying Conductor in a Magnetic Field
- Motion in a Magnetic Field
- Biot-Savart Law
- Magnetic Field on the Axis of a Circular Current Loop
- Ampere’s Circuital Law
- Solenoid and the Toroid - the Solenoid
- Force Between Two Parallel Currents, the Ampere
- Circular Current Loop as a Magnetic Dipole
- Torque on a Rectangular Current Loop in a Uniform Magnetic Field
- Moving Coil Galvanometer
- Oersted's Experiment
- Solenoid and the Toroid - the Toroid
- Magnetic Diapole
- Torque on a Current-Loop in a Uniform Magnetic Field
- Force on a Current - Carrying Conductor in a Uniform Magnetic Field
- Force on a Moving Charge in Uniform Magnetic and Electric Fields
- Straight and Toroidal Solenoids (Only Qualitative Treatment)
- The Magnetic Dipole Moment of a Revolving Electron
- Velocity Selector
- Cyclotron
- Overview: Moving Charges and Magnetic Field
- Overview: Torque on a Current-Loop : Moving-Coil Galvanometer
Electromagnetic Waves
Magnetism and Matter
- Concept of Magnetism
- The Bar Magnet
- Magnetism and Gauss’s Law
- Magnetisation and Magnetic Intensity
- Magnetic Properties of Materials
- Permanent Magnet
- Curie Law of Magnetism
- Hysteresis: Retentivity and Coercivity
- The Earth’s Magnetism
- Torque on a Magnetic Dipole (Bar Magnet) in a Uniform Magnetic Field
- Dipole in a Uniform External Field
- Magnetic Field Intensity Due to a Magnetic Dipole (Bar Magnet) Perpendicular to Its Axis
- Magnetic Field due to a Bar Magnet
- Magnetic Dipole Moment of a Revolving Electron
- Current Loop as a Magnetic Dipole: Magnetic Dipole Moment of Current Loop
- Magnetic Substances
- Overview: Magnetism and Mater
Optics
Electromagnetic Induction
- Electromagnetic Induction
- The Experiments of Faraday and Henry
- Magnetic Flux
- Faraday's Laws of Electromagnetic Induction
- Lenz’s Law and Conservation of Energy
- Motional Electromotive Force (e.m.f.)
- Mutual Inductance
- Self Inductance
- A.C. Generator
- Energy Consideration: a Quantitative Study
- Eddy Currents or Foucault Currents
- Induced Current and Induced Charge
- Overview - Electromagnetic Induction
Dual Nature of Radiation and Matter
Alternating Current
- Alternating current (AC) and Direct Current (DC)
- Different Types of AC Circuits: AC Voltage Applied to a Resistor
- Representation of AC Current and Voltage by Rotating Vectors - Phasors
- Different Types of AC Circuits: AC Voltage Applied to an Inductor
- Different Types of AC Circuits: AC Voltage Applied to a Capacitor
- Different Types of AC Circuits: AC Voltage Applied to a Series LCR Circuit
- Power in AC Circuit
- Forced Oscillations and Resonance
- Transformers
- LC Oscillations
- Reactance and Impedance
- Peak and Rms Value of Alternating Current Or Voltage
- Overview: AC Circuits
Atoms and Nuclei
Electromagnetic Waves
- Elementary Facts About Electromagnetic Wave Uses
- Electromagnetic Spectrum
- Transverse Nature of Electromagnetic Waves
- EM Wave
- Displacement Current
- Overview of Electromagnetic Waves
Ray Optics and Optical Instruments
- Reflection of Light by Spherical Mirrors
- Refraction of Light
- Refraction at a Spherical Surface and Lenses
- Refraction by a Lens
- Refraction at Spherical Surfaces
- Power of a Lens
- Refraction of Light Through a Prism
- Optical Instruments
- Simple Microscope or a Reading Glass
- Compound Microscope
- Telescope
- Optical Instruments: the Eye
- Laws of Refraction
- Spherical Mirror > Concave Mirror
- Rarer and Denser Medium
- Lens Maker's Formula
- Thin Lens Formula
- Concept of Lenses
- Some Natural Phenomena Due to Sunlight
- Dispersion by a Prism
- Magnification
- Total Internal Reflection
- Ray Optics - Mirror Formula
- Overview of Ray Optics and Optical Instruments
- Light Process and Photometry
Electronic Devices
Wave Optics
- Introduction of Wave Optics
- Huygens' Principle
- Refraction of a Plane Wave
- Refraction at a Rarer Medium
- Reflection of a Plane Wave by a Plane Surface
- Coherent and Incoherent Addition of Waves
- Interference of Light Waves and Young’s Experiment
- Diffraction of Light
- The Single Slit
- Seeing the Single Slit Diffraction Pattern
- Refraction of Monochromatic Light
- Polarisation
- Law of Malus
- Principle of Superposition of Waves
- Corpuscular Theory
- Plane Polarised Light
- The Validity of Ray Optics
- Doppler Effect
- Width of Central Maximum
- Resolving Power of Microscope and Astronomical Telescope
- Interference
- Proof of Laws of Reflection and Refraction Using Huygens' Principle
- Brewster's Law
- Fraunhofer Diffraction Due to a Single Slit
- Coherent and Incoherent Sources and Sustained Interference of Light
- Speed of Light
- Reflection and Refraction of Plane Wave at a Plane Surface Using Wave Fronts
- Overview: Wave Optics
Communication Systems
Dual Nature of Radiation and Matter
- Dual Nature of Radiation
- Electron Emission
- Photoelectric Effect - Hertz’s Observations
- Photoelectric Effect - Hallwachs’ and Lenard’s Observations
- Experimental Study of Photoelectric Effect
- Photoelectric Effect and Wave Theory of Light
- Einstein’s Photoelectric Equation: Energy Quantum of Radiation
- Particle Nature of Light: The Photon
- Einstein’s Equation - Particle Nature of Light
- Davisson and Germer Experiment
- de-Broglie Relation
- Wave Nature of Matter
- Overview: Dual Nature of Radiation and Matter
The Special Theory of Relativity
Atoms
- Introduction of Atoms
- Alpha-particle Scattering and Rutherford’s Nuclear Model of Atom
- Atomic Spectra
- Bohr’s Model for Hydrogen Atom
- Energy Levels
- The Line Spectra of the Hydrogen Atom
- De Broglie’s Explanation of Bohr’s Second Postulate of Quantisation
- Heisenberg and De Broglie Hypothesis
- Thompson Model
- Dalton's Atomic Theory
- Hydrogen Spectrum
- Overview: Atoms
Nuclei
- Atomic Masses and Composition of Nucleus
- Size of the Nucleus
- Mass - Energy
- Nuclear Binding Energy
- Nuclear Force
- Alpha Decay
- Beta Decay
- Gamma Decay
- Controlled Thermonuclear Fusion
- Nuclear Reactor
- Mass Defect and Binding Energy
- Atomic Mass, Mass - Energy Relation and Mass Defect
- Overview: Nuclei
- Law of Radioactive Decay
Semiconductor Electronics - Materials, Devices and Simple Circuits
- Concept of Semiconductor Electronics: Materials, Devices and Simple Circuits
- Classification of Metals, Conductors and Semiconductors
- Energy Bands in Conductors, Semiconductors and Insulators
- Intrinsic Semiconductor
- Extrinsic Semiconductor
- p-n Junction
- Semiconductor Diode
- Application of Junction Diode as a Rectifier
- Integrated Circuits
- Feedback Amplifier and Transistor Oscillator
- Transistor as a Device
- Basic Transistor Circuit Configurations and Transistor Characteristics
- Transistor Action
- Transistor: Structure and Action
- Digital Electronics and Logic Gates
- Transistor as an Amplifier (Ce-configuration)
- Transistor and Characteristics of a Transistor
- Zener Diode as a Voltage Regulator
- Special Purpose P-n Junction Diodes
- Diode as a Rectifier
- Triode
- Overview: Semiconductor Electronics
Communication Systems
- Detection of Amplitude Modulated Wave
- Production of Amplitude Modulated Wave
- Basic Terminology Used in Electronic Communication Systems
- Sinusoidal Waves
- Modulation and Its Necessity
- Amplitude Modulation (AM)
- Need for Modulation and Demodulation
- Satellite Communication
- Propagation of EM Waves
- Bandwidth of Transmission Medium
- Bandwidth of Signals
The Special Theory of Relativity
- The Special Theory of Relativity
- The Principle of Relativity
- Maxwell'S Laws
- Kinematical Consequences
- Dynamics at Large Velocity
- Energy and Momentum
- The Ultimate Speed
- Twin Paradox
Estimated time: 28 minutes
CBSE: Class 12
CISCE: Class 12
CISCE: Class 12
Key Points: Electrical Materials
- Conductors have many free electrons, so electric current flows easily; insulators have almost no free electrons, so current does not flow easily.
- In conductors, resistance increases with temperature, whereas in semiconductors it decreases.
- Semiconductors have properties between conductors and insulators, and at absolute zero, they behave like insulators.
CBSE: Class 12
CISCE: Class 12
CISCE: Class 12
Key Points: Energy Bands in Materials
CBSE: Class 12
CISCE: Class 12
CISCE: Class 12
Definition: Conductor
A material having a partially filled valence band (or overlapping valence and conduction bands), allowing electrons to move easily and conduct electricity.
CBSE: Class 12
CISCE: Class 12
CISCE: Class 12
Definition: Insulator
A material in which the valence band is completely filled and the conduction band is empty, separated by a large energy gap (a few eV), so electrons cannot move freely.
CBSE: Class 12
CISCE: Class 12
CISCE: Class 12
Definition: Semiconductor
A material with a small energy gap (about 1 eV) between valence and conduction bands, allowing limited conduction at room temperature.
CBSE: Class 12
CISCE: Class 12
CISCE: Class 12
Definition: Conduction Band
An empty or partially filled band above the valence band in which electrons can move freely and conduct current.
OR
Conduction band is the wide range of energies possessed by the conduction band electrons. It is the lowest unfilled band, for insulators. But it is partially filled for conductors. Current conduction is due to the electrons in this band.
CBSE: Class 12
CISCE: Class 12
CISCE: Class 12
Definition: Valence Band
The highest occupied energy band containing valence electrons.
OR
Valence band is the wide range of energies possessed by the valence electrons. Valence band is the highest energy band, occupied by the valence electrons. It is completely filled for inert gases, but partially filled for other materials.
CBSE: Class 12
CISCE: Class 12
CISCE: Class 12
Definition: Energy Bond
An energy band is the wide range of energies possessed by an electron in a solid.
CISCE: Class 12
Key Points: Electrons and Holes in Semiconductors
- Semiconductors have a small energy gap (about 1 eV) between the valence band and conduction band.
- At absolute zero, they act like insulators because the valence band is full and the conduction band is empty.
- At room temperature, some electrons move into the conduction band, leaving holes, and both contribute to conduction; conductivity increases with temperature.
CBSE: Class 12
CISCE: Class 12
CISCE: Class 12
Key Points: Intrinsic Semiconductors
- An intrinsic semiconductor is a pure semiconductor (like silicon or germanium) without impurities.
- At low temperatures, it behaves like an insulator because all electrons are bound in covalent bonds.
- At room temperature, some bonds break and create electron–hole pairs.
- In an intrinsic semiconductor, the number of electrons equals the number of holes (ne = nh = ni).
- Its conductivity increases with temperature because more electron–hole pairs are produced.
CBSE: Class 12
CISCE: Class 12
CISCE: Class 12
Key Points: Extrinsic Semiconductors
CBSE: Class 12
Key Points: p–n Junction Formation
-
A p–n junction is formed by joining p-type and n-type semiconductors.
-
Electrons diffuse from n → p.
-
Holes diffuse from p → n.
-
Recombination occurs near the junction.
-
Immobile ions are left behind.
-
A depletion region is formed (no free charge carriers).
-
An electric field develops across the junction.
-
A barrier potential is established.
-
At equilibrium:
Diffusion current = Drift current
Net current = 0
CBSE: Class 12
Key Points: p-n Junction Diode under Forward Bias
-
Applied voltage reduces barrier potential.
-
Depletion region width decreases.
-
The majority of carriers cross the junction.
-
Current increases rapidly after the threshold voltage.
-
Current is in the mA range.
CBSE: Class 12
Key Points: p-n Junction Diode under Reverse Bias
-
Barrier potential increases.
-
Depletion region widens.
-
Diffusion current decreases.
-
Small reverse current flows (minority carriers).
-
The reverse current is almost independent of voltage (until breakdown).
-
At breakdown → current increases sharply.
