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Guided learning journeys that build knowledge step by step.
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7819 Paths · page 696 / 782
This learning path guides students from foundational electromagnetism and vector calculus through the core numerical methods used to simulate electromagnetic fields, including FDTD, finite element, and method of moments. It emphasizes practical implementation in Python/NumPy and culminates in a capstone project that integrates these techniques.
A comprehensive learning path covering the propagation, dispersion, and attenuation of electromagnetic waves in dielectrics and conductors, including skin effect, plasma frequency, and optical properties.
A comprehensive learning path for university physics students to formulate classical electromagnetism in the language of special relativity. It covers the necessary prerequisites in special relativity, introduces four-vectors and the electromagnetic field tensor, and explores Lorentz transformations of fields and the covariant form of Maxwell's equations.
This advanced learning path guides university students through the theoretical framework for modeling electromagnetic radiation emitted by accelerating charges. Starting from Maxwell's equations and progressing through retarded potentials, Liénard-Wiechert potentials, and multipole expansions, the path culminates in a detailed analysis of dipole radiation and synchrotron radiation, including angular distributions and spectral characteristics.
A comprehensive learning path for advanced undergraduates to understand energy and momentum conservation in electromagnetic fields, starting from Maxwell's equations and culminating in the Poynting theorem and Maxwell stress tensor.
A comprehensive learning path covering the magnetic response of materials, from fundamental magnetostatics to advanced concepts like ferromagnetism and domains. Learners will understand magnetization, B/H fields, permeability, and the microscopic origins of magnetic behavior.
A systematic path from electrostatics fundamentals to advanced dielectric theory, covering polarization, susceptibility, dielectric constant, boundary conditions, and energy. Designed for university students studying material response.
This learning path guides advanced undergraduates through the theory and application of multipole expansions for charge distributions, from the monopole and dipole through quadrupole and higher-order terms, culminating in the spherical harmonic expansion and far-field approximations of the electric potential.
This learning path guides advanced undergraduates through the mathematical and physical foundations needed to solve Laplace's and Poisson's equations, with applications in electrostatics. It covers vector calculus, boundary value problems, separation of variables, Green's functions, and numerical methods, culminating in practical problem-solving skills.
This path systematically builds from Maxwell's equations to the wave equation, deriving the speed of light and exploring properties of electromagnetic waves including polarization, energy flow via the Poynting vector, and radiation pressure.