- 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
- Conductors and Insulators
- Basic Properties of Electric Charge
- Coulomb’s Law
- Forces between Multiple Charges
- Electric Field
- Electric Field Due to a System of Charges
- Physical Significance of Electric Field
- Electric Field Lines
- Electric Flux
- Electric Dipole
- Dipole in a Uniform External Field
- Continuous Charge Distribution
- Gauss’s Law
- Application of Gauss' Law
Electrostatics
Current Electricity
Electrostatic Potential and Capacitance
- Electric Potential and Potential Energy
- Electrostatic Potential
- Electric 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 and Polarisation
- Capacitors and Capacitance
- The Parallel Plate Capacitor
- Effect of Dielectric on Capacitance
- Combination of Capacitors
- Energy Stored in a Charged Capacitor
- Overview: Electric Potential
- Overview: Capacitors and Dielectrics
Magnetic Effects of Current and Magnetism
Current Electricity
- Electric Current
- Electric Currents in Conductors
- Ohm's Law
- Drift of Electrons and the Origin of Resistivity
- Mobility of Electrons
- Limitations of Ohm’s Law
- Resistivity of Various Materials
- Temperature Dependence of Resistivity
- Electrical Energy and Power in Conductors
- Cells, EMF, and Internal Resistance
- Cells in Series and in Parallel
- Kirchhoff’s Laws
- Wheatstone Bridge
- Overview: Electric Resistance and Ohm's Law
- Overview: DC Circuits and Measurements
Electromagnetic Induction and Alternating Currents
Moving Charges and Magnetism
- Electromagnetism
- Magnetic force
- Motion in a Magnetic Field
- Biot-Savart Law
- Magnetic Field on the Axis of a Circular Current-Carrying Loop
- Ampere’s Circuital Law
- Solenoid
- Force Between Two Parallel Currents (Ampere’s Law)
- Torque on a Rectangular Current Loop in a Uniform Magnetic Field
- Circular Current Loop as a Magnetic Dipole
- Moving Coil Galvanometer
- 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
- Magnetic Field Lines
- Bar Magnet as an Equivalent Solenoid
- The Dipole in a Uniform Magnetic Field
- The Electrostatic Analog
- Magnetism and Gauss’s Law
- Magnetisation and Magnetic Intensity
- Magnetic Properties of Materials
- Overview: Magnetism and Mater
Electromagnetic Induction
Optics
Dual Nature of Radiation and Matter
Alternating Current
- AC Voltage Applied to a Resistor
- Representation of AC Current and Voltage by Rotating Vectors - Phasors
- AC Voltage Applied to an Inductor
- AC Voltage Applied to a Capacitor
- AC Voltage Applied to a Series LCR Circuit
- Phasor-diagram Solution
- Resonance
- Power in AC Circuit
- Transformers
- Overview: AC Circuits
Atoms and Nuclei
Electromagnetic Waves
- Concept of Electromagnetic Waves
- Displacement Current
- Sources of Electromagnetic Waves
- Nature of Electromagnetic Waves
- Electromagnetic Spectrum
- Overview of Electromagnetic Waves
Electronic Devices
Ray Optics and Optical Instruments
- Ray Optics Or Geometrical Optics
- Reflection of Light by Spherical Mirrors
- Sign Convention for Reflection by Spherical Mirrors
- Focal Length of Spherical Mirrors
- Mirror Equation of Spherical Mirrors
- Refraction of Light
- Total Internal Reflection
- Applications of Total Internal Reflection
- Refraction at a Spherical Surfaces
- Refraction by a Lens
- Power of a Lens
- Combined Focal Length of Two Thin Lenses in Contact
- Refraction of Light Through a Prism
- Optical Instruments
- Microscope and it’s types
- Telescope
- Overview of Ray Optics and Optical Instruments
Wave Optics
- Concept 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
- Polarisation of Light
- Overview: Wave Optics
Communication Systems
The Special Theory of Relativity
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
- Effects of Intensity and Frequency on Photocurrent
- Photoelectric Effect and Wave Theory of Light
- Einstein’s Photoelectric Equation: Energy Quantum of Radiation
- Particle Nature of Light: The Photon
- Wave Nature of Matter
- Overview: Dual Nature of Radiation and Matter
Atoms
Nuclei
- Atomic Masses and Composition of Nucleus
- Size of the Nucleus
- Mass - Energy
- Nuclear Binding Energy
- Nuclear Force
- Radioactivity
- Forms of Energy > Nuclear Energy
- Nuclear Fission
- Nuclear Fusion
- Controlled Thermonuclear Fusion
- Overview: Nuclei
Semiconductor Electronics - Materials, Devices and Simple Circuits
- Concept of Semiconductor Electronics
- Classification of Metals, Conductors and Semiconductors
- Intrinsic Semiconductor
- Extrinsic Semiconductor
- n-type Semiconductor
- p-type Semiconductor
- Diode or p-n Junction
- Semiconductor Diode
- Application of Junction Diode as a Rectifier
- 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.
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Electrons diffuse from n → p.
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Holes diffuse from p → n.
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Recombination occurs near the junction.
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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
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Applied voltage reduces barrier potential.
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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
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Barrier potential increases.
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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.
