Electrodynamics: Gauge Invariance and Electrostatics

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Related lectures (54)

Electric Displacement in Dielectrics: Gauss's Law and Boundary Conditions Log in to Mediaspace to watch this video

Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.

Waves in Inhomogeneous Medium Log in to Mediaspace to watch this video

Explores waves in inhomogeneous media, covering initial and boundary conditions, numerical stability, eigen modes, and propagation principles.

Maxwell Equations: Green Functions for Electrostatic Problems Log in to Mediaspace to watch this video

Explores the use of Green functions for solving electrostatic problems with different boundary conditions, emphasizing the importance of choosing the correct function.

Vibratory Mechanics: Continuous Systems Log in to Mediaspace to watch this video

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

Internal Heat Transfer Effects Log in to Mediaspace to watch this video

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Theory of Images and Equivalence Principle Log in to Mediaspace to watch this video

Explores the theory of images, equivalence principle, conductors, duality, and uniqueness in electromagnetism with practical examples.

Transmission Line Equations: Derivation and Losses Log in to Mediaspace to watch this video

Explores the derivation of transmission line equations and the impact of losses.

Uniqueness Results for Poisson Equation Log in to Mediaspace to watch this video

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Superposition and Interference in Electromagnetic Waves Log in to Mediaspace to watch this video

Explores the superposition and interference of electromagnetic waves, discussing energy redistribution and standing waves.

Schrödinger Equation in 1D Potential Well Log in to Mediaspace to watch this video

Explores the Schrödinger equation in a 1D potential well and its implications for energy states and wave functions.

Guided Propagation: Vector Components and Boundary Conditions Log in to Mediaspace to watch this video

Explores guided propagation modes, vector components, boundary conditions, dispersion diagrams, and electromagnetic field reconstruction.

Interaction of E-M Waves with Matter: Absorption, Transmission, Reflection Log in to Mediaspace to watch this video

Investigates the interaction of electromagnetic waves with matter, focusing on absorption, transmission, and reflection processes.

Finite Element Method: Weak Formulation and Applications Log in to Mediaspace to watch this video

Explores integral and weak formulations in Finite Element Method applications.

Laplace Equation in Polar Coordinates Log in to Mediaspace to watch this video

Explores the Laplace equation in polar coordinates and its solution process through separation of variables.

Reflection at Discontinuities: Transmission Line Terminations Log in to Mediaspace to watch this video

Covers the reflection coefficient of loads in transmission lines and the generation of reflected voltages and currents.

Propagation Modes in Waveguides Log in to Mediaspace to watch this video

Explores the propagation modes in waveguides, discussing TE and TM modes, field distribution, and Bessel functions.

Stability of Discrete Problems Log in to Mediaspace to watch this video

Explores stability analysis of discrete problems with specific constants and conditions, emphasizing the importance of achieving stability.

Local to Global Mapping in Finite Element Analysis Log in to Mediaspace to watch this video

Discusses mapping local to global coordinates in finite element analysis and the importance of vertex numbering.

Equilibrium in Tension: Verification and Compatibility Log in to Mediaspace to watch this video

Covers the verification of equilibrium equations and compatibility in tension scenarios, ensuring uniform stress distribution.

Finite Element Method: Local Approach Log in to Mediaspace to watch this video

Explores the local approach of the finite element method, covering nodal shape functions, solution restrictions, sizes, boundary conditions, and assembly operations.

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