Study electromagnetic fields and forces
219
Sub Topics
440
MCQs
189
MCOs
323
True/False
189
Fill Blanks
61
Rearrange
161
Matching
84
Comprehensions
147
Flashcard Decks
Curriculum
What You'll Learn
01 Introduction to Electromagnetism 3 topics
1 Historical Development
- Ancient Observations
- Early Electrical Experiments
- Unification of Electricity and Magnetism
2 Fundamental Concepts
- Charge, Current, and Fields
- Electromagnetic Forces
- Electromagnetic Waves
3 Mathematical Preliminaries
- Vector Calculus Review
- Gradient, Divergence, and Curl
- Coordinate Systems
02 Electrostatics 7 topics
1 Electric Charge
- Discrete and Continuous Charge Distributions
- Conservation of Charge
- Quantization of Charge
2 Coulomb's Law
- Point Charges
- Superposition Principle
- Force Between Charge Distributions
3 Electric Field
- Definition and Properties
- Field Lines
- Field Due to Various Charge Distributions
4 Gauss's Law
- Flux and Solid Angle
- Integral Form
- Differential Form
- Applications to Symmetric Charge Distributions
5 Electric Potential
- Scalar Potential
- Potential Energy
- Potential Due to Various Charge Distributions
- Equipotential Surfaces
6 Conductors in Electrostatic Equilibrium
- Properties of Conductors
- Induced Charges
- Electrostatic Shielding
- Method of Images
7 Electrostatic Boundary Value Problems
- Uniqueness Theorem
- Method of Images
- Separation of Variables
- Laplace's and Poisson's Equations
03 Electric Multipoles and Dielectrics 4 topics
1 Electric Dipole
- Dipole Moment
- Field and Potential of a Dipole
- Dipole in External Fields
- Force and Torque on Dipoles
2 Higher Electric Multipoles
- Quadrupole Moment
- Multipole Expansion
3 Polarization
- Atomic and Molecular Polarization
- Polarization Density
- Bound Charges
4 Dielectrics
- Linear Dielectrics
- Electric Susceptibility
- Dielectric Constant
- Boundary Conditions
- Energy in Dielectric Systems
04 Steady Electric Currents 6 topics
1 Current Density
- Continuity Equation
- Conservation of Charge
2 Conductivity and Ohm's Law
- Microscopic and Macroscopic Ohm's Law
- Resistivity and Conductivity
- Temperature Dependence
3 Electrical Resistance
- Series and Parallel Resistors
- Resistor Networks
4 DC Circuits
- Kirchhoff's Laws
- Circuit Elements
- RC Circuits
5 Power and Joule Heating
- Power Dissipation
- Joule's Law
6 Electromotive Force
- Batteries and Sources
- Internal Resistance
05 Magnetostatics 6 topics
1 Magnetic Field
- Definition and Properties
- Magnetic Field Lines
- Lorentz Force Law
2 Biot-Savart Law
- Magnetic Field Due to Current Elements
- Applications to Various Current Distributions
3 Ampère's Law
- Integral Form
- Differential Form
- Applications to Symmetric Current Distributions
4 Magnetic Vector Potential
- Definition and Gauge Freedom
- Calculation for Various Current Distributions
5 Force Between Current-Carrying Conductors
- Parallel Conductors
- Magnetic Pressure
6 Magnetic Dipole
- Magnetic Dipole Moment
- Field of a Magnetic Dipole
- Force and Torque on Magnetic Dipoles
06 Magnetic Materials 4 topics
1 Magnetization
- Microscopic and Macroscopic Description
- Magnetization Current
- Bound Currents
2 Magnetic Susceptibility and Permeability
- Diamagnetism, Paramagnetism, Ferromagnetism
- Magnetic Hysteresis
- Curie Temperature
3 Magnetic Boundary Conditions
- Boundary Conditions at Interfaces
- Magnetic Circuits
4 Magnetic Energy
- Energy Density in Magnetic Fields
- Self and Mutual Inductance
07 Electromagnetic Induction 6 topics
1 Faraday's Law
- Motional EMF
- Lenz's Law
- Integral and Differential Forms
2 Inductance
- Self-Inductance
- Mutual Inductance
- Calculation for Various Geometries
3 Energy in Magnetic Fields
- Energy Density
- Energy in Coupled Systems
4 RL Circuits
- Time Constants
- Transient and Steady States
5 Eddy Currents
- Induced Currents in Bulk Materials
- Applications and Effects
6 Transformers
- Ideal Transformers
- Real Transformers and Losses
08 Maxwell's Equations 5 topics
1 Displacement Current
- Ampère-Maxwell Law
- Physical Significance
2 Maxwell's Equations in Vacuum
- Integral Form
- Differential Form
3 Maxwell's Equations in Matter
- Constitutive Relations
- Boundary Conditions
4 Electromagnetic Potentials
- Scalar and Vector Potentials
- Gauge Transformations
- Retarded Potentials
5 Conservation Laws
- Charge Conservation
- Energy Conservation
- Poynting's Theorem
- Momentum Conservation
- Angular Momentum Conservation
09 Electromagnetic Waves 6 topics
1 Wave Equation
- Derivation from Maxwell's Equations
- Solutions in Various Media
2 Plane Waves in Vacuum
- Properties and Mathematical Representation
- Polarization States
- Energy and Momentum
3 Electromagnetic Waves in Matter
- Propagation in Conductors
- Propagation in Dielectrics
- Dispersion Relations
4 Reflection and Refraction
- Boundary Conditions
- Snell's Law
- Fresnel Equations
- Total Internal Reflection
5 Transmission Lines
- Telegrapher's Equations
- Impedance Matching
- Standing Waves
- Smith Chart
6 Waveguides
- Rectangular Waveguides
- Cylindrical Waveguides
- Modes of Propagation
- Cutoff Frequencies
10 Electromagnetic Radiation 5 topics
1 Radiation from Accelerated Charges
- Liénard-Wiechert Potentials
- Fields of a Moving Point Charge
2 Dipole Radiation
- Electric Dipole Radiation
- Magnetic Dipole Radiation
- Radiation Patterns
3 Multipole Radiation
- Multipole Expansion
- Selection Rules
4 Antenna Theory
- Dipole Antennas
- Antenna Arrays
- Radiation Resistance
5 Radiation Reaction
- Abraham-Lorentz Force
- Energy Balance in Radiation
11 Special Relativity and Electromagnetism 5 topics
1 Lorentz Transformations
- Space-Time Coordinates
- Relativistic Velocity Addition
2 Relativistic Kinematics
- Time Dilation
- Length Contraction
- Relativistic Doppler Effect
3 Four-Vectors
- Four-Velocity
- Four-Momentum
- Four-Current
4 Covariant Formulation of Electromagnetism
- Electromagnetic Field Tensor
- Maxwell's Equations in Covariant Form
5 Relativistic Transformations of Fields
- Transformation of E and B Fields
- Invariants of the Electromagnetic Field
12 Electromagnetic Interactions with Matter 5 topics
1 Drude Model
- Free Electron Gas
- Conductivity and Resistivity
2 Plasma Physics
- Plasma Frequency
- Plasma Oscillations
- Debye Shielding
3 Dielectrics Revisited
- Frequency-Dependent Permittivity
- Absorption and Dispersion
- Kramers-Kronig Relations
4 Magnetic Materials Revisited
- Frequency-Dependent Permeability
- Ferromagnetic Resonance
5 Optical Properties of Materials
- Reflection and Transmission at Interfaces
- Complex Refractive Index
- Absorption and Scattering
13 Guided Waves and Resonators 4 topics
1 Transmission Line Theory
- Equivalent Circuit Models
- Impedance Matching
- Pulse Propagation
2 Waveguides
- TE, TM, and TEM Modes
- Attenuation and Dispersion
- Coupling Mechanisms
3 Resonant Cavities
- Cavity Modes
- Quality Factor
- Coupling to Cavities
4 Optical Fibers
- Step-Index and Graded-Index Fibers
- Single-Mode and Multi-Mode Propagation
- Dispersion and Attenuation
14 Electromagnetic Radiation and Optics 4 topics
1 Geometric Optics
- Ray Tracing
- Lenses and Mirrors
- Optical Instruments
2 Wave Optics
- Interference
- Diffraction
- Coherence
3 Polarization Optics
- Polarization States
- Birefringence
- Optical Activity
4 Nonlinear Optics
- Nonlinear Susceptibilities
- Harmonic Generation
- Optical Parametric Processes
15 Computational Electromagnetics 4 topics
1 Numerical Methods Overview
- Finite Difference Methods
- Finite Element Methods
- Method of Moments
2 Finite-Difference Time-Domain Method
- Yee Algorithm
- Stability and Dispersion
- Boundary Conditions
3 Frequency Domain Methods
- Mode Solvers
- Eigenvalue Problems
4 Applications
- Antenna Design
- Scattering Problems
- Photonic Structures
16 Applications of Electromagnetism 4 topics
1 Electromagnetic Devices
- Motors and Generators
- Transformers
- Solenoids and Relays
2 Electromagnetic Sensing and Measurement
- Hall Effect Sensors
- Magnetometers
- Electric Field Sensors
3 Electromagnetic Compatibility
- Shielding
- Grounding
- EMI/EMC Standards
4 Bioelectromagnetics
- Bioelectric Phenomena
- Medical Applications
- Safety Standards
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Electromagnetism
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