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
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
Current Electricity
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
Magnetic Effects of Current and Magnetism
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 Induction and Alternating Currents
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 Waves
Optics
Electromagnetic Induction
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
Communication Systems
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
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
The Special Theory of Relativity
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
Introduction
A dielectric is a non-conducting substance that has few free charge carriers. When a dielectric is placed in an external electric field, charges do not flow freely through it as they do in a conductor. Instead, the molecules of the dielectric respond by developing or aligning dipole moments, which reduces the effective electric field inside the material.
Important Point
In a conductor, the electric field inside becomes zero in electrostatic equilibrium, but in a dielectric, the field is only reduced, not completely cancelled.
Definition: Dielectric
A dielectric is an insulating material in which free charge carriers are absent or negligible.
Definition: Electric Dipole
An electric dipole consists of two equal and opposite charges separated by a small distance.
Definition: Polar Molecule
A polar molecule is a molecule that has a permanent dipole moment even in the absence of an external electric field.
Examples: HCl, H2O.
Definition: Non-polar Molecule
A non-polar molecule is a molecule whose centres of positive and negative charge coincide, so its net dipole moment is zero in the normal state.
Examples: O2, H2.
Definition: Polarisation
Polarisation is the electric dipole moment per unit volume of a dielectric.
Definition: Electric Susceptibility
Electric susceptibility \[\chi_e\] is a property of a dielectric that measures how easily it gets polarised in an external electric field.
Conductor and Dielectric in an Electric Field
| Feature | Conductor | Dielectric |
|---|---|---|
| Free charge carriers | Present in large numbers | Negligible or absent |
| Effect of external electric field | Free charges rearrange quickly | Molecules become polarized |
| Electric field inside | Becomes zero in electrostatic equilibrium | Reduced, but not zero |
| Main response | Charge redistribution on the surface | Induced or aligned dipoles inside the material |
Quick Interpretation
A conductor behaves like a material with mobile charges, whereas a dielectric behaves like a material with bound charges that can only shift slightly. This small internal charge separation creates dipoles and leads to polarisation.
Polar and Non-polar Molecules
Non-polar Molecules
In a non-polar molecule, the centres of positive and negative charges coincide, so the molecule has no permanent dipole moment in the normal state. When an external electric field is applied, the charge centres shift slightly in opposite directions, producing an induced dipole moment.
Polar Molecules
In a polar molecule, the centres of positive and negative charges do not coincide, so the molecule already possesses a permanent dipole moment. In the absence of an external field, these dipoles are randomly oriented due to thermal motion, making the net dipole moment of the sample nearly zero. When an external field is applied, the dipoles tend to align with the field.
Comparison Table
| Basis | Non-polar Molecules | Polar Molecules |
|---|---|---|
| Dipole moment in the normal state | Zero. | Permanent dipole moment present. |
| Effect of external field | Dipole moment is induced. | Existing dipoles align more in the field direction. |
| Examples | O2, H2. | HCl, H2O. |
Memory Aid
- Non-polar molecules: no dipole at first, dipole appears after the field is applied.
- Polar molecules: dipole already exists, the field mainly aligns it.
Mechanism of Polarisation
When a dielectric is placed in an external electric field, its molecules develop a net dipole effect. This may happen in two ways:
- Induced polarisation in non-polar molecules: the field slightly separates positive and negative charge centres.
- Orientation polarisation in polar molecules: permanent dipoles rotate and align partially with the field.
Flow of the Process
External electric field applied
→ molecular charges shift, or dipoles align
→ net dipole moment develops in the dielectric
→ dielectric becomes polarised
→ induced charges appear on opposite surfaces
→ internal field opposes external field
→ resultant field inside decreases.
Simple Analogy
A polar molecule in an electric field behaves somewhat like a tiny compass needle in a magnetic field: it tends to turn and align in a preferred direction.
Formula: Polarisation Vector and Formula
For a linear isotropic dielectric, polarisation is directly proportional to the electric field:
- \[\mathbf{P}\]: polarisation of the dielectric.
- \[\varepsilon_0\]: permittivity of free space.
- \[\chi_e\]: electric susceptibility of the dielectric.
- \[\mathbf{E}\]: applied electric field.
Uniformly Polarised Dielectric Slab
Consider a rectangular dielectric slab placed in a uniform electric field. When the slab gets polarised, positive and negative bound charges appear on the two opposite faces normal to the field direction. These induced surface charges are represented by positive and negative surface charge densities.
Key Result
A uniformly polarised dielectric has:
- no net volume charge density in the interior.
- induced surface charges on opposite faces.
- an internal electric field due to these bound charges that opposes the external field.
Final Effect
The resultant electric field inside the dielectric becomes less than the applied external field.
Real-life Understanding
- The dielectric in a capacitor increases capacitance because it reduces the effective electric field between the plates.
- Water is a polar substance because its molecules have permanent dipole moments.
- Many insulating materials used in electrical devices behave as dielectrics because they do not allow free movement of charge but do respond to electric fields.
