ELM 2061 • Midterm • Electromagnetic Field Theory

General Information

The Electromagnetic Model

Fundamental Quantites

Introduction to Vector Analysis

Vector Algebra

Vector Addition and Subtraction

Example(Vector Algebra)

Vector Multiplication

Example(Vector Multiplication)

Distance and Position Vectors

Example(Distance and Position Vectors)

Coordinate Systems

Cartesian, Cyclindrical and Spherical Coordinate Systems

Cylindrical Transform and Spherical Coordinate Systems

Gradient of Scalar Field

Example (Gradient of Scalar Area)

Example (Gradient of Scalar Area 2)

Divergence of Vector Field

Curl of Vector Field

Stokes's Theorem

Two Null Identities

Field Classification and Helmholtz's Theorem

Introduction to Static Electric Fields

Coulomb's Law

Electric Field Strength

Example (Electric Field Strength)

Example (Electric Field)

Electric Field Generated by Discrete Sources

Electric Field Generated by Continous Load Distributions

Example (Continuous Load Distributions)

Electric Flux Density

Example (Electric Flux Density)

Gauss's Law

Example (Gauss's Law)

Electric Potantial

Electric Potential Due To A Charge Distribution

Example (Electric Potential)

Derivation of the Electric Field from Electric Potantial

Example (Derivation of the Electric Field from Electric Potantial)

Example (Derivation of the Electric Field from Electric Potantial 1)

Electric Dipole

Example (Electric Dipole)

Electrostatic Energy

Example (Electrostatic Energy)

Example (Electrostatic Energy 2)

Electrostatic Force

Material Environment in Static Electric Fields- Conductors

Example (Material Environment in Static Electric Fields- Conductors)

Example (Material Environment in Static Electric Fields- Conductors 1)

Material Environment in Static Electric Fields- Resistors

Example (Material Environment in Static Electric Fields- Resistors)

Joule's Law

Material Environment in Static Electric Fields- Dielectrics

Example (Material Environment in Static Electric Fields- Dielectrics)

Continuity Equation and Relaxation Time

Example (Continuity Equation and Relaxation Time)

Boundary Conditions

Example (Boundary Conditions Between a Conductor and an Insulator)

Example (Boundary Conditions Between two Insulator)

Capacitance and Capacitors

Example (Capacitance and Capacitors)

Introduction to Static Magnetic Fields

Fundamental Postulates of Magnetostatics in Free Space

Magnetic Vector Potential

The Biot-Savart Law and Applications

Biot-Savart Law (Magnetic Field of A Linear Conductor)

Biot-Savart Law (Magnetic Field at the Axis of the Circular Ring)

Biot-Savart Law (Magnetic Field Around a Solenoid Axis)

Ampere's Law

Ampere's Law (Infinite Linear Current)

Ampere's Law (Conductors with Circular Cross-Sections)

Magnetic Flux Density

Magnetic Dipole

Magnetization and Equivalent Current Densities

Magnetic Field Intensity and Relative Permeability

Behaviour of Magnetic Materials

Boundary Conditions for Magnetostatic Fields

Inductances and Inductors

Magnetic Energy

Magnetic Force Acting on A Current-Carrying Conductor

Magnetic Force Between Two Parallel Conductors

Example (Vector Multiplication)

Example (Coordinate Systems)

Example (Coordinate System 2)

Example (Gradient of Scalar Area 3)

Example (Divergence of Vector Field)

Example (Stokes's Theorem)

Example (Electric Field)

Example (Continuous Load Distributions 1)

Example (Continuous Load Distributions 2)

Example (Gauss's Law 2)

Example (Electric Potential 2)

Example (Derivation of the Electric Field from Electric Potantial 2)

Example (Electric Dipole 1)

Example (Electrostatic Energy 3)

Example (Material Environment in Static Electric Fields- Dielectrics 1)

Example (Boundary Conditions Between two Insulator 1)

Example (Capacitance and Capacitors 1)

Example (Capacitance and Capacitors 2)

Example (Magnetic Induction)

Example (Conductivity Current)

Example (Magnetic Field Strength)

Example (Magnetic Forces)

Example (Magnetic Forces 2)

Example (Magnetic Forces 3)

Example (Magnetic Forces 4)

Example (Magnetic Field Strength 2)

Example (Magnetic Field of Solenoid)