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Magnetostatics: Magnetic Field and Force
Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.
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Applications of Gauss's law: Electric Field Calculations Simplified
Simplifies electric field calculations using Gauss's law and symmetry arguments.
Gauss's Law: Charges, Electric Flux, and Field Evaluation
Explores Gauss's law, electric flux evaluation, Gaussian surfaces, and field simplification using symmetry arguments.
Electric Flux and Gauss' Law
Explores electric flux, Gauss' law, and their applications in multiple charge scenarios.
Electric Displacement in Dielectrics: Gauss's Law and Boundary Conditions
Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.
Paradoxes with Coulomb's and Ampère's forces. Gauss's Law
Delves into paradoxes with Coulomb's and Ampère's forces, leading to the derivation of Gauss's Law from Maxwell's equations.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Electric Field Calculation using Gauss's Law
Explains how to calculate the electric field around a point charge using Gauss's law.
Electric Flux and Closed Surfaces
Explains electric flux through closed surfaces and its calculation using surface integrals, emphasizing the relationship with enclosed charge.
Surface Integrals: Parameterized Surfaces
Explores surface integrals over parameterized orientable surfaces and their applications in flux and work evaluation.
Electric Field & Gauss's Law
Explores electric fields, work done on charges, flux, and Gauss's law.
Advanced Physics I: Laws of Newton and Fundamental Forces
Explores Newton's laws, fundamental forces, and exercises on these topics.
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Divergence Theorem: Green Identities in R²
Explores the divergence theorem and corollaries related to Green identities in the plane, demonstrating their application through examples.
Curve Integrals of Vector Fields
Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.
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