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Fundamentals of Electromagnetism for Engineering

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Physics

Fundamentals of Electromagnetism for Engineering

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Fundamentals of Electromagnetism for Engineering

Name: Fundamentals of Electromagnetism for Engineering
Price: 222 USD

Master the electromagnetic field theory that powers modern electrical and electronic engineering. From vector calculus and electrostatics through Maxwell's equations and wave propagation, this course builds rigorous analytical skills grounded in real engineering problems. Whether you're designing RF systems, power components, or high-frequency circuits, you'll gain the theoretical foundation professionals rely on.

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What you will learn:

Apply vector calculus operators — gradient, divergence, and curl — to electromagnetic field problems.
Compute electric and magnetic fields for standard engineering geometries using Gauss's and Ampere's laws.
Analyze dielectric and magnetic materials to determine capacitance, inductance, and energy storage performance.
Derive and interpret Maxwell's equations in both integral and differential forms for time-varying fields.
Understand plane wave propagation, polarization, and reflection behavior in lossless and lossy media.
Evaluate electromagnetic compatibility risks and apply shielding, grounding, and filtering techniques to real systems.

How you study in practice Fundamentals of Electromagnetism for Engineering

How you practice Fundamentals of Electromagnetism for Engineering

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Course Content

8 Chapters • 41 LessonsDuration between 4 and 360 hours (you decide)

Chapter 1See details

Mathematical Foundations for Electromagnetism

Lesson 1 • Gradient, Divergence, and Curl
Introduces the three key differential operators and their physical interpretations. Provides the analytical tools needed to state Maxwell's equations in differential form.
Lesson 2 • Integral Theorems in Vector Calculus
Presents the divergence theorem and Stokes' theorem with engineering examples. Links differential and integral forms of field equations used in later chapters.
Lesson 3 • Laplacian and Wave Operators
Defines the Laplacian operator and introduces the wave equation structure. Prepares students for potential theory and electromagnetic wave analysis.
Lesson 4 • Scalar and Vector Fields
Defines scalar and vector field concepts with physical examples. Connects field visualization to later electric and magnetic field mapping.
Lesson 5 • Vector Algebra and Coordinate Systems
Covers vector addition, dot and cross products, and three standard coordinate systems. Establishes the spatial language used throughout all electromagnetic field descriptions.

Chapter 2See details

Electrostatics: Fields and Potentials

Lesson 1 • Electric Field Intensity
Defines the electric field vector and computes it for discrete and continuous sources. Connects field intensity to force experienced by test charges in engineering devices.
Lesson 2 • Gauss's Law and Symmetry
States Gauss's law in integral and differential forms and applies it to symmetric geometries. Enables rapid field computation for planar, cylindrical, and spherical configurations.
Lesson 3 • Electric Potential and Energy
Derives electric potential from the field and computes energy stored in charge systems. Links potential to voltage concepts used in circuit and device analysis.
Lesson 4 • Electric Charge and Coulomb's Law
Introduces charge quantization, conservation, and the force law between point charges. Establishes the source concept underlying all electrostatic analysis.
Lesson 5 • Conductors in Electrostatic Equilibrium
Analyzes charge distribution and field conditions inside and on conductor surfaces. Introduces boundary conditions that govern conductor-dielectric interfaces.

Chapter 3See details

Dielectrics and Capacitance

Lesson 1 • Energy Storage in Dielectric Systems
Quantifies energy density in electric fields and total energy in capacitor systems. Connects energy storage to dielectric strength and breakdown limits in engineering design.
Lesson 2 • Electric Displacement Field
Introduces the D field to separate free and bound charge contributions in Gauss's law. Enables field analysis in dielectric-filled geometries without tracking bound charges explicitly.
Lesson 3 • Polarization and Bound Charges
Explains how applied fields polarize dielectric atoms and create bound charge densities. Connects microscopic dipole behavior to macroscopic polarization vector P.
Lesson 4 • Capacitance Calculation Methods
Derives capacitance for parallel-plate, cylindrical, and spherical geometries. Provides systematic methods applicable to practical energy storage and sensor designs.
Lesson 5 • Boundary Conditions at Dielectric Interfaces
Derives normal and tangential boundary conditions for E and D at material interfaces. Applies conditions to solve field refraction problems in multilayer capacitor designs.

Chapter 4See details

Steady Electric Currents and Resistance

Lesson 1 • Boundary Conditions for Current Flow
Applies interface conditions to current density at conductor-conductor and conductor-insulator boundaries. Resolves current refraction and leakage problems in layered conductor systems.
Lesson 2 • Ohm's Law in Field Form
States the point form of Ohm's law relating J, conductivity, and E. Bridges microscopic material properties to macroscopic resistance calculations.
Lesson 3 • Power Dissipation and Joule's Law
Derives Joule's law in field form and computes power dissipated in resistive media. Connects ohmic loss to thermal management requirements in power electronics.
Lesson 4 • Current Density and Continuity
Defines volume current density J and derives the continuity equation from charge conservation. Establishes the field-theoretic basis for Kirchhoff's current law in circuit analysis.
Lesson 5 • Resistance and Conductance Calculation
Derives resistance formulas for standard geometries using field integration methods. Enables engineers to size conductors and resistive elements for specified performance.

Chapter 5See details

Magnetostatics: Fields and Sources

Lesson 1 • Ampere's Law and Symmetry
States Ampere's circuital law and applies it to symmetric current configurations. Mirrors the Gauss's law approach to enable rapid B field computation.
Lesson 2 • Magnetic Flux and Vector Potential
Defines magnetic flux and introduces the magnetic vector potential A. Connects the solenoidal nature of B to the divergence-free condition and potential formulations.
Lesson 3 • Magnetic Force and Flux Density
Introduces the Lorentz force law and defines magnetic flux density B. Establishes the physical basis for magnetic force on current-carrying conductors and moving charges.
Lesson 4 • Biot-Savart Law
States the Biot-Savart law and applies it to compute B from current elements. Provides the fundamental integration method for arbitrary current distributions.
Lesson 5 • Forces Between Current-Carrying Conductors
Computes forces between parallel and non-parallel current loops using field methods. Applies results to relay design, bus bar analysis, and motor winding forces.

Chapter 6See details

Magnetic Materials and Inductance

Lesson 1 • Magnetic Field Intensity H
Introduces H to separate free and bound current contributions in Ampere's law. Enables field analysis in magnetic cores without tracking magnetization currents explicitly.
Lesson 2 • Boundary Conditions for Magnetic Fields
Derives normal and tangential boundary conditions for B and H at material interfaces. Applies conditions to flux leakage and field confinement problems in core design.
Lesson 3 • Magnetization and Magnetic Materials
Defines the magnetization vector M and classifies diamagnetic, paramagnetic, and ferromagnetic materials. Connects microscopic magnetic moments to macroscopic permeability.
Lesson 4 • Self-Inductance and Mutual Inductance
Derives inductance from flux linkage and computes L and M for standard geometries. Provides the foundation for transformer, choke, and coupled-inductor analysis.
Lesson 5 • Energy Storage in Magnetic Fields
Quantifies magnetic energy density and total energy in inductors and coupled systems. Connects stored energy to force production in actuators and core saturation limits.

Chapter 7See details

Faraday's Law and Time-Varying Fields

Lesson 1 • Faraday's Law of Induction
States Faraday's law in integral and differential forms and applies it to moving and stationary circuits. Establishes the link between changing magnetic flux and induced electromotive force.
Lesson 2 • Electromagnetic Potentials and Gauge Conditions
Extends scalar and vector potentials to time-varying fields and introduces gauge conditions. Provides the potential formulation used in antenna and radiation analysis.
Lesson 3 • Eddy Currents and Skin Effect
Analyzes induced currents in conducting bodies and the frequency-dependent skin depth. Applies results to core loss estimation and conductor sizing at high frequencies.
Lesson 4 • Maxwell's Equations in Complete Form
Assembles all four Maxwell's equations in integral and differential forms. Presents the unified field theory governing all classical electromagnetic phenomena.
Lesson 5 • Displacement Current and Ampere's Extension
Introduces Maxwell's displacement current term and its role in completing Ampere's law. Resolves the inconsistency of the original Ampere's law for time-varying fields.

Chapter 8See details

Electromagnetic Waves and Propagation

Lesson 1 • Wave Polarization
Classifies linear, circular, and elliptical polarization states of plane waves. Connects polarization to antenna design, optical fiber, and radar cross-section analysis.
Lesson 2 • Poynting's Theorem and Power Flow
Derives Poynting's theorem and the Poynting vector for electromagnetic power transport. Quantifies power flow, energy density, and radiation efficiency in wave systems.
Lesson 3 • Guided Waves and Transmission Lines
Introduces transmission line theory and rectangular waveguide modes as guided wave structures. Connects distributed circuit parameters to field solutions for high-frequency design.
Lesson 4 • Wave Propagation in Lossy Media
Extends plane wave analysis to conducting and lossy dielectric media using complex permittivity. Quantifies attenuation constant, phase constant, and penetration depth.
Lesson 5 • Reflection and Transmission at Interfaces
Derives Fresnel reflection and transmission coefficients for normal and oblique incidence. Applies results to impedance matching, radome design, and optical coating analysis.
Lesson 6 • Plane Wave Propagation in Lossless Media
Derives the uniform plane wave solution from Maxwell's equations in free space and dielectrics. Establishes phase velocity, wavelength, and wave impedance as key design parameters.

Certification

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This course is for you:

Electrical engineering undergraduates: needing a rigorous field theory foundation for advanced coursework.
Electronics hardware engineers: wanting to understand the physics behind signal integrity issues.
Power systems engineers: seeking field-level insight into transformers, machines, and transmission lines.
RF and wireless technicians: ready to move beyond rules of thumb into real theory.
Physics graduates: transitioning into engineering roles that demand applied electromagnetic analysis.
Self-taught electronics enthusiasts: serious about closing the gap between hobbyist knowledge and professional depth.

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